id	sid	eid	entity	type
ejpam-1372	1	1	5_xxx_kowalenko.dvi	CARDINAL
ejpam-1372	1	2	european	NORP
ejpam-1372	1	3	4	CARDINAL
ejpam-1372	1	4	4, 2011	DATE
ejpam-1372	1	5	370	CARDINAL
ejpam-1372	1	6	1307-5543	DATE
ejpam-1372	1	7	euler	PERSON
ejpam-1372	1	8	kowalenko	PERSON
ejpam-1372	1	9	the university of melbourne	ORG
ejpam-1372	1	10	victoria 3010	GPE
ejpam-1372	1	11	australia	GPE
ejpam-1372	2	1	euler	PERSON
ejpam-1372	5	1	two	CARDINAL
ejpam-1372	5	2	first	ORDINAL
ejpam-1372	5	3	borel	PERSON
ejpam-1372	5	4	second	ORDINAL
ejpam-1372	5	5	mellin-barnes regularisation.	ORG
ejpam-1372	6	1	two	CARDINAL
ejpam-1372	8	1	borel	PERSON
ejpam-1372	8	2	euler	PERSON
ejpam-1372	9	1	2000	DATE
ejpam-1372	9	2	00a30,	CARDINAL
ejpam-1372	9	3	01a45	DATE
ejpam-1372	9	4	01a70	CARDINAL
ejpam-1372	9	5	03a05	CARDINAL
ejpam-1372	9	6	03b30	CARDINAL
ejpam-1372	9	7	30b10	CARDINAL
ejpam-1372	9	8	30b30	CARDINAL
ejpam-1372	9	9	30d20	CARDINAL
ejpam-1372	9	10	30e15	CARDINAL
ejpam-1372	9	11	34e05	DATE
ejpam-1372	9	12	34e10	CARDINAL
ejpam-1372	9	13	40a05	DATE
ejpam-1372	9	14	40g10	DATE
ejpam-1372	9	15	40g99	CARDINAL
ejpam-1372	9	16	asymptotics	NORP
ejpam-1372	9	17	borel	PERSON
ejpam-1372	9	18	euler	PERSON
ejpam-1372	10	1	grandi	PERSON
ejpam-1372	10	2	1	CARDINAL
ejpam-1372	10	3	one	CARDINAL
ejpam-1372	10	4	four	CARDINAL
ejpam-1372	10	5	day	DATE
ejpam-1372	10	6	euler	PERSON
ejpam-1372	11	1	first	ORDINAL
ejpam-1372	12	1	370	CARDINAL
ejpam-1372	12	2	2011	DATE
ejpam-1372	13	1	kowalenko	PERSON
ejpam-1372	14	1	j. pure	PERSON
ejpam-1372	14	2	4 (2011	DATE
ejpam-1372	14	3	370	CARDINAL
ejpam-1372	14	4	423 371	CARDINAL
ejpam-1372	15	1	6	CARDINAL
ejpam-1372	16	1	second	ORDINAL
ejpam-1372	17	1	weierstrass	GPE
ejpam-1372	18	1	euler	PERSON
ejpam-1372	19	1	26	CARDINAL
ejpam-1372	20	1	2007	DATE
ejpam-1372	20	2	euler	PERSON
ejpam-1372	20	3	32	CARDINAL
ejpam-1372	20	4	euler	PERSON
ejpam-1372	20	5	a century	DATE
ejpam-1372	20	6	12	CARDINAL
ejpam-1372	21	1	euler	PERSON
ejpam-1372	21	2	first	ORDINAL
ejpam-1372	21	3	today	DATE
ejpam-1372	21	4	euler	PERSON
ejpam-1372	23	1	the past few centuries	DATE
ejpam-1372	25	1	151	CARDINAL
ejpam-1372	26	1	33	CARDINAL
ejpam-1372	28	1	one	CARDINAL
ejpam-1372	28	2	zero	CARDINAL
ejpam-1372	29	1	zero	CARDINAL
ejpam-1372	29	2	zero	CARDINAL
ejpam-1372	30	1	landau	PERSON
ejpam-1372	30	2	o	DATE
ejpam-1372	32	1	24	CARDINAL
ejpam-1372	35	1	today	DATE
ejpam-1372	37	1	the last twenty years or so	DATE
ejpam-1372	38	1	j. pure	PERSON
ejpam-1372	38	2	4 (2011	DATE
ejpam-1372	38	3	370	CARDINAL
ejpam-1372	38	4	4	CARDINAL
ejpam-1372	38	5	5	DATE
ejpam-1372	38	6	21	DATE
ejpam-1372	38	7	29	CARDINAL
ejpam-1372	39	1	6	CARDINAL
ejpam-1372	40	1	27	CARDINAL
ejpam-1372	43	1	sec	ORG
ejpam-1372	43	2	3	CARDINAL
ejpam-1372	43	3	one	CARDINAL
ejpam-1372	46	1	asymptotics	LAW
ejpam-1372	49	1	2	CARDINAL
ejpam-1372	49	2	one	CARDINAL
ejpam-1372	49	3	euler	PERSON
ejpam-1372	49	4	one	CARDINAL
ejpam-1372	52	1	first	ORDINAL
ejpam-1372	56	1	copson	PERSON
ejpam-1372	56	2	a0+a1+a2+	LOC
ejpam-1372	60	1	s1,s2	GPE
ejpam-1372	64	1	1	CARDINAL
ejpam-1372	64	2	s.	PERSON
ejpam-1372	67	1	1+ 2+ 4+	QUANTITY
ejpam-1372	70	1	j. pure	PERSON
ejpam-1372	70	2	4 (2011	DATE
ejpam-1372	70	3	370	CARDINAL
ejpam-1372	70	4	first	ORDINAL
ejpam-1372	70	5	1703∗.	CARDINAL
ejpam-1372	71	1	1− 1	DATE
ejpam-1372	72	1	zero	CARDINAL
ejpam-1372	76	1	two	CARDINAL
ejpam-1372	79	1	1/2	CARDINAL
ejpam-1372	79	2	today	DATE
ejpam-1372	80	1	leibniz	PERSON
ejpam-1372	80	2	two	CARDINAL
ejpam-1372	81	1	leibniz	PERSON
ejpam-1372	82	1	euler	PERSON
ejpam-1372	82	2	first	ORDINAL
ejpam-1372	84	1	1	CARDINAL
ejpam-1372	84	2	x k	PERSON
ejpam-1372	85	1	1/(1−	CARDINAL
ejpam-1372	87	1	x=1/4	ORG
ejpam-1372	87	2	1+1/4+1/16	CARDINAL
ejpam-1372	89	1	4/3	CARDINAL
ejpam-1372	90	1	4/3	CARDINAL
ejpam-1372	91	1	z(=	PERSON
ejpam-1372	91	2	1	CARDINAL
ejpam-1372	92	1	-1	ORG
ejpam-1372	92	2	1/2	CARDINAL
ejpam-1372	93	1	euler	PERSON
ejpam-1372	93	2	1−	CARDINAL
ejpam-1372	94	1	x3+	GPE
ejpam-1372	95	1	−1)k x	PERSON
ejpam-1372	97	1	2	CARDINAL
ejpam-1372	97	2	1/(1+ x	QUANTITY
ejpam-1372	97	3	x=1	DATE
ejpam-1372	99	1	today	DATE
ejpam-1372	101	1	32	CARDINAL
ejpam-1372	101	2	euler	PERSON
ejpam-1372	102	1	1	CARDINAL
ejpam-1372	106	1	2	CARDINAL
ejpam-1372	106	2	1	DATE
ejpam-1372	106	3	euler	PERSON
ejpam-1372	107	1	zero	CARDINAL
ejpam-1372	109	1	euler	PERSON
ejpam-1372	110	1	j. pure	PERSON
ejpam-1372	110	2	4 (2011	DATE
ejpam-1372	110	3	370	CARDINAL
ejpam-1372	111	1	1771	DATE
ejpam-1372	111	2	daniel bernoulli	PERSON
ejpam-1372	111	3	zeros	CARDINAL
ejpam-1372	111	4	1	CARDINAL
ejpam-1372	112	1	1+0−1+1+0−1+	QUANTITY
ejpam-1372	114	1	2/3	CARDINAL
ejpam-1372	115	1	12	CARDINAL
ejpam-1372	116	1	zeros	CARDINAL
ejpam-1372	117	1	abel	PERSON
ejpam-1372	118	1	zeros	CARDINAL
ejpam-1372	118	2	1− 1+	DATE
ejpam-1372	121	1	1/3	CARDINAL
ejpam-1372	122	1	1799	DATE
ejpam-1372	122	2	more than a decade	DATE
ejpam-1372	122	3	euler	PERSON
ejpam-1372	122	4	lagrange	GPE
ejpam-1372	122	5	1+ z	QUANTITY
ejpam-1372	122	6	1− z2 +	DATE
ejpam-1372	123	1	3	CARDINAL
ejpam-1372	123	2	1	CARDINAL
ejpam-1372	123	3	2/3	CARDINAL
ejpam-1372	123	4	1/2	CARDINAL
ejpam-1372	124	1	lagrange	GPE
ejpam-1372	124	2	euler	PERSON
ejpam-1372	125	1	3	CARDINAL
ejpam-1372	126	1	z4 − z5 + z6	PERSON
ejpam-1372	127	1	z8 +	DATE
ejpam-1372	128	1	4	CARDINAL
ejpam-1372	128	2	1+0−1+1+0−1+	QUANTITY
ejpam-1372	129	1	bernoulli	PERSON
ejpam-1372	129	2	2/3	CARDINAL
ejpam-1372	131	1	sec	ORG
ejpam-1372	131	2	9	CARDINAL
ejpam-1372	132	1	1/z	CARDINAL
ejpam-1372	133	1	lagrange	GPE
ejpam-1372	134	1	1/2	CARDINAL
ejpam-1372	135	1	bernoulli	PERSON
ejpam-1372	137	1	3	CARDINAL
ejpam-1372	137	2	1993	DATE
ejpam-1372	137	3	euler-jacobi	PERSON
ejpam-1372	137	4	21	CARDINAL
ejpam-1372	138	1	exp(−ak3	PERSON
ejpam-1372	139	1	two	CARDINAL
ejpam-1372	140	1	one	CARDINAL
ejpam-1372	140	2	t k 3	DATE
ejpam-1372	140	3	t l 3	DATE
ejpam-1372	141	1	t l 3	DATE
ejpam-1372	142	1	5	CARDINAL
ejpam-1372	143	1	j. pure	PERSON
ejpam-1372	143	2	4 (2011	DATE
ejpam-1372	143	3	370-423 375	QUANTITY
ejpam-1372	143	4	t l 3	DATE
ejpam-1372	143	5	2 ∞ ∑ k=0	QUANTITY
ejpam-1372	143	6	4	CARDINAL
ejpam-1372	143	7	2	CARDINAL
ejpam-1372	143	8	4	CARDINAL
ejpam-1372	143	9	6	CARDINAL
ejpam-1372	143	10	t k 3	DATE
ejpam-1372	144	1	2	CARDINAL
ejpam-1372	144	2	6	CARDINAL
ejpam-1372	144	3	6	CARDINAL
ejpam-1372	144	4	2z	CARDINAL
ejpam-1372	144	5	6πna)1/4 ∞ ∑ k=0	QUANTITY
ejpam-1372	144	6	1/6	CARDINAL
ejpam-1372	144	7	4	CARDINAL
ejpam-1372	144	8	5/6	CARDINAL
ejpam-1372	144	9	1/2	CARDINAL
ejpam-1372	144	10	2z	CARDINAL
ejpam-1372	144	11	8	CARDINAL
ejpam-1372	144	12	3kπ	ORDINAL
ejpam-1372	145	1	7	CARDINAL
ejpam-1372	145	2	ζ(s	ORG
ejpam-1372	145	3	riemann zeta function	ORG
ejpam-1372	146	1	subdominance	PERSON
ejpam-1372	146	2	one	CARDINAL
ejpam-1372	146	3	0 or z	CARDINAL
ejpam-1372	147	1	7	CARDINAL
ejpam-1372	148	1	6	CARDINAL
ejpam-1372	150	1	7	CARDINAL
ejpam-1372	150	2	4	CARDINAL
ejpam-1372	150	3	5	DATE
ejpam-1372	150	4	29	CARDINAL
ejpam-1372	151	1	first	ORDINAL
ejpam-1372	151	2	fifteen	CARDINAL
ejpam-1372	151	3	first	ORDINAL
ejpam-1372	151	4	twenty-one	CARDINAL
ejpam-1372	151	5	0.2	CARDINAL
ejpam-1372	151	6	t l 3	DATE
ejpam-1372	151	7	470 156	CARDINAL
ejpam-1372	151	8	480	CARDINAL
ejpam-1372	152	1	10−7	CARDINAL
ejpam-1372	153	1	eqs	ORG
ejpam-1372	154	1	6	CARDINAL
ejpam-1372	154	2	7	CARDINAL
ejpam-1372	154	3	15	CARDINAL
ejpam-1372	154	4	first	ORDINAL
ejpam-1372	154	5	second	ORDINAL
ejpam-1372	155	1	two	CARDINAL
ejpam-1372	156	1	t l 3	DATE
ejpam-1372	157	1	× 10−17	EVENT
ejpam-1372	159	1	0.01	CARDINAL
ejpam-1372	159	2	10	CARDINAL
ejpam-1372	161	1	first	ORDINAL
ejpam-1372	162	1	7	CARDINAL
ejpam-1372	162	2	8	CARDINAL
ejpam-1372	163	1	21	CARDINAL
ejpam-1372	164	1	kowalenko	PERSON
ejpam-1372	165	1	j. pure	PERSON
ejpam-1372	165	2	4 (2011	DATE
ejpam-1372	165	3	370	CARDINAL
ejpam-1372	165	4	today	DATE
ejpam-1372	165	5	mellin-barnes regularisation	ORG
ejpam-1372	169	1	k ∑ k=0	PERSON
ejpam-1372	170	1	1	CARDINAL
ejpam-1372	173	1	k! ∫	ORG
ejpam-1372	175	1	9	CARDINAL
ejpam-1372	175	2	the summand zk	ORG
ejpam-1372	180	1	9	CARDINAL
ejpam-1372	180	2	zero	CARDINAL
ejpam-1372	183	1	taylor	PERSON
ejpam-1372	185	1	9	CARDINAL
ejpam-1372	185	2	∑ k=0	PERSON
ejpam-1372	188	1	1−	TIME
ejpam-1372	191	1	10	CARDINAL
ejpam-1372	191	2	1	CARDINAL
ejpam-1372	191	3	first	ORDINAL
ejpam-1372	192	1	10	CARDINAL
ejpam-1372	192	2	1/(1−	CARDINAL
ejpam-1372	194	1	18	CARDINAL
ejpam-1372	195	1	33	CARDINAL
ejpam-1372	195	2	ℜ z	WORK_OF_ART
ejpam-1372	195	3	1	CARDINAL
ejpam-1372	197	1	1	CARDINAL
ejpam-1372	197	2	first	ORDINAL
ejpam-1372	198	1	10	CARDINAL
ejpam-1372	199	1	first	ORDINAL
ejpam-1372	200	1	10	CARDINAL
ejpam-1372	201	1	1/(1−	CARDINAL
ejpam-1372	203	1	1(1−	DATE
ejpam-1372	203	2	1	CARDINAL
ejpam-1372	203	3	1/(1−	CARDINAL
ejpam-1372	203	4	1	CARDINAL
ejpam-1372	204	1	11	CARDINAL
ejpam-1372	206	1	j. pure	PERSON
ejpam-1372	206	2	4 (2011	DATE
ejpam-1372	206	3	370	CARDINAL
ejpam-1372	207	1	∞ ∑ k=n zk	PERSON
ejpam-1372	208	1	∑ k=0	PERSON
ejpam-1372	208	2	≡	GPE
ejpam-1372	208	3	1− z	WORK_OF_ART
ejpam-1372	209	1	12	CARDINAL
ejpam-1372	209	2	lhs	PERSON
ejpam-1372	209	3	1	CARDINAL
ejpam-1372	209	4	z.	PERSON
ejpam-1372	211	1	4	CARDINAL
ejpam-1372	212	1	17	CARDINAL
ejpam-1372	213	1	one	CARDINAL
ejpam-1372	214	1	euler	PERSON
ejpam-1372	217	1	10	CARDINAL
ejpam-1372	218	1	1	CARDINAL
ejpam-1372	219	1	10	CARDINAL
ejpam-1372	220	1	first	ORDINAL
ejpam-1372	221	1	10	CARDINAL
ejpam-1372	221	2	1/(1−	CARDINAL
ejpam-1372	222	1	11	CARDINAL
ejpam-1372	222	2	∞ ∑ k=0 zk	PERSON
ejpam-1372	222	3	1/(1−	CARDINAL
ejpam-1372	222	4	1	CARDINAL
ejpam-1372	222	5	1/(1−	CARDINAL
ejpam-1372	223	1	13	CARDINAL
ejpam-1372	224	1	12	CARDINAL
ejpam-1372	224	2	z.	PERSON
ejpam-1372	227	1	j+ 1	DATE
ejpam-1372	228	1	1	CARDINAL
ejpam-1372	228	2	−1	DATE
ejpam-1372	228	3	1	CARDINAL
ejpam-1372	228	4	14	CARDINAL
ejpam-1372	229	1	j. pure	PERSON
ejpam-1372	229	2	4 (2011	DATE
ejpam-1372	229	3	370	CARDINAL
ejpam-1372	229	4	423 378	CARDINAL
ejpam-1372	229	5	0	CARDINAL
ejpam-1372	229	6	∞ ∑ k=0	PERSON
ejpam-1372	229	7	1	CARDINAL
ejpam-1372	232	1	15	CARDINAL
ejpam-1372	232	2	18	CARDINAL
ejpam-1372	233	1	33	CARDINAL
ejpam-1372	234	1	one	CARDINAL
ejpam-1372	234	2	one	CARDINAL
ejpam-1372	234	3	1− 1/2+ 1/3−	CARDINAL
ejpam-1372	234	4	1/4	CARDINAL
ejpam-1372	235	1	2	CARDINAL
ejpam-1372	236	1	16	CARDINAL
ejpam-1372	236	2	15	CARDINAL
ejpam-1372	236	3	1+ 1/2+ 1/3+ 1/4+	DATE
ejpam-1372	238	1	sec	ORG
ejpam-1372	238	2	7	CARDINAL
ejpam-1372	238	3	euler	PERSON
ejpam-1372	239	1	13	CARDINAL
ejpam-1372	241	1	lim k→∞	PERSON
ejpam-1372	243	1	17	CARDINAL
ejpam-1372	243	2	first	ORDINAL
ejpam-1372	244	1	4	CARDINAL
ejpam-1372	245	1	14	CARDINAL
ejpam-1372	245	2	17	CARDINAL
ejpam-1372	245	3	10	CARDINAL
ejpam-1372	245	4	23	CARDINAL
ejpam-1372	247	1	9	CARDINAL
ejpam-1372	253	1	18	CARDINAL
ejpam-1372	255	1	0	CARDINAL
ejpam-1372	255	2	ℜ(k+α)>0	ORG
ejpam-1372	256	1	γ(k	PERSON
ejpam-1372	257	1	−εα+1	NORP
ejpam-1372	258	1	ℜα	PERSON
ejpam-1372	258	2	0	CARDINAL
ejpam-1372	259	1	32	CARDINAL
ejpam-1372	260	1	23	CARDINAL
ejpam-1372	266	1	eap	ORG
ejpam-1372	267	1	19	CARDINAL
ejpam-1372	268	1	j. pure	PERSON
ejpam-1372	268	2	4 (2011	DATE
ejpam-1372	268	3	370	CARDINAL
ejpam-1372	269	1	19	CARDINAL
ejpam-1372	269	2	−1/a.	ORG
ejpam-1372	269	3	0	CARDINAL
ejpam-1372	269	4	first	ORDINAL
ejpam-1372	269	5	−1/a.	ORG
ejpam-1372	277	1	20	CARDINAL
ejpam-1372	277	2	113	CARDINAL
ejpam-1372	278	1	8	CARDINAL
ejpam-1372	282	1	b)k k	PERSON
ejpam-1372	285	1	1	CARDINAL
ejpam-1372	285	2	∞ ∑ k=1	PERSON
ejpam-1372	286	1	21	CARDINAL
ejpam-1372	289	1	19	CARDINAL
ejpam-1372	291	1	21	CARDINAL
ejpam-1372	291	2	first	ORDINAL
ejpam-1372	292	1	19	CARDINAL
ejpam-1372	295	1	9	CARDINAL
ejpam-1372	302	1	laplace	ORG
ejpam-1372	303	1	2	CARDINAL
ejpam-1372	304	1	17	CARDINAL
ejpam-1372	306	1	j. pure	PERSON
ejpam-1372	306	2	4 (2011	DATE
ejpam-1372	306	3	370	CARDINAL
ejpam-1372	306	4	423 380	CARDINAL
ejpam-1372	309	1	first	ORDINAL
ejpam-1372	310	1	today	DATE
ejpam-1372	312	1	5	CARDINAL
ejpam-1372	312	2	grandi	PERSON
ejpam-1372	313	1	copson	PERSON
ejpam-1372	314	1	1/2	CARDINAL
ejpam-1372	314	2	leibniz	PERSON
ejpam-1372	315	1	zeros	CARDINAL
ejpam-1372	315	2	bernoulli	PERSON
ejpam-1372	316	1	zeros	CARDINAL
ejpam-1372	317	1	s(z	PERSON
ejpam-1372	318	1	1+ 0+ z	DATE
ejpam-1372	319	1	22	CARDINAL
ejpam-1372	319	2	second	ORDINAL
ejpam-1372	319	3	zero	CARDINAL
ejpam-1372	319	4	s(z	PERSON
ejpam-1372	319	5	s(z	PERSON
ejpam-1372	320	1	∑ k=1 �	PERSON
ejpam-1372	320	2	1−	TIME
ejpam-1372	320	3	1+	DATE
ejpam-1372	320	4	2	CARDINAL
ejpam-1372	320	5	0k	CARDINAL
ejpam-1372	321	1	23	CARDINAL
ejpam-1372	321	2	four	CARDINAL
ejpam-1372	322	1	s(z	PERSON
ejpam-1372	322	2	1 2	CARDINAL
ejpam-1372	322	3	1 2	CARDINAL
ejpam-1372	322	4	0k	CARDINAL
ejpam-1372	322	5	1 2 ∞ ∑ k=2	TIME
ejpam-1372	323	1	24	CARDINAL
ejpam-1372	323	2	two	CARDINAL
ejpam-1372	324	1	24	CARDINAL
ejpam-1372	324	2	13	CARDINAL
ejpam-1372	324	3	z= 0	DATE
ejpam-1372	326	1	first	ORDINAL
ejpam-1372	326	2	two	CARDINAL
ejpam-1372	326	3	13	CARDINAL
ejpam-1372	327	1	s(z	PERSON
ejpam-1372	327	2	1 2	CARDINAL
ejpam-1372	327	3	1−pz	CARDINAL
ejpam-1372	327	4	1 1− z	TIME
ejpam-1372	328	1	25	CARDINAL
ejpam-1372	329	1	j. pure	PERSON
ejpam-1372	329	2	4 (2011	DATE
ejpam-1372	329	3	370	CARDINAL
ejpam-1372	329	4	423 381	CARDINAL
ejpam-1372	329	5	zeros	CARDINAL
ejpam-1372	330	1	zeros	CARDINAL
ejpam-1372	330	2	bernoulli	PERSON
ejpam-1372	332	1	1+ 0− 1	CARDINAL
ejpam-1372	334	1	1+ 0	DATE
ejpam-1372	337	1	26	CARDINAL
ejpam-1372	337	2	two	CARDINAL
ejpam-1372	338	1	first	ORDINAL
ejpam-1372	339	1	26	CARDINAL
ejpam-1372	340	1	1 3 ∞ ∑ k=0 �	TIME
ejpam-1372	340	2	1k	CARDINAL
ejpam-1372	340	3	27	CARDINAL
ejpam-1372	340	4	3 ∞ ∑ k=0	QUANTITY
ejpam-1372	341	1	28	CARDINAL
ejpam-1372	341	2	three	CARDINAL
ejpam-1372	342	1	first	ORDINAL
ejpam-1372	343	1	eqs	CARDINAL
ejpam-1372	344	1	27	CARDINAL
ejpam-1372	344	2	28	CARDINAL
ejpam-1372	344	3	13	CARDINAL
ejpam-1372	347	1	1 3 �1−	TIME
ejpam-1372	347	2	1− e2πi/3	MONEY
ejpam-1372	348	1	2 3	DATE
ejpam-1372	348	2	29	CARDINAL
ejpam-1372	348	3	bernoulli	PERSON
ejpam-1372	349	1	1− 1+	DATE
ejpam-1372	352	1	3 ∞ ∑ k=0	QUANTITY
ejpam-1372	352	2	1k	CARDINAL
ejpam-1372	353	1	30	CARDINAL
ejpam-1372	354	1	1 3 �1− e−2πi/3	TIME
ejpam-1372	356	1	31	CARDINAL
ejpam-1372	356	2	1/3	CARDINAL
ejpam-1372	356	3	zeros	CARDINAL
ejpam-1372	357	1	v. kowalenko	PERSON
ejpam-1372	358	1	j. pure	PERSON
ejpam-1372	358	2	4 (2011	DATE
ejpam-1372	358	3	370	CARDINAL
ejpam-1372	358	4	a2	ORG
ejpam-1372	365	1	32	CARDINAL
ejpam-1372	365	2	a2	ORG
ejpam-1372	367	1	zeros	CARDINAL
ejpam-1372	368	1	a2	ORG
ejpam-1372	373	1	0	CARDINAL
ejpam-1372	376	1	1	CARDINAL
ejpam-1372	377	1	33	CARDINAL
ejpam-1372	378	1	33	CARDINAL
ejpam-1372	378	2	eqs	ORG
ejpam-1372	379	1	27	CARDINAL
ejpam-1372	379	2	28	CARDINAL
ejpam-1372	384	1	a2	ORG
ejpam-1372	389	1	0	DATE
ejpam-1372	389	2	zeros	CARDINAL
ejpam-1372	389	3	s3(0,12	ORG
ejpam-1372	389	4	0	DATE
ejpam-1372	389	5	second	ORDINAL
ejpam-1372	389	6	a2	ORG
ejpam-1372	392	1	jsk(0,0	GPE
ejpam-1372	394	1	1	CARDINAL
ejpam-1372	397	1	1 k k ∑	QUANTITY
ejpam-1372	397	2	j k−1 ∑	PERSON
ejpam-1372	398	1	34	CARDINAL
ejpam-1372	398	2	13	CARDINAL
ejpam-1372	400	1	34	CARDINAL
ejpam-1372	400	2	a2	ORG
ejpam-1372	403	1	2k	CARDINAL
ejpam-1372	403	2	k−1	ORG
ejpam-1372	403	3	∑ l=1 1 sin(lπ/k	DATE
ejpam-1372	405	1	j e−(2	PERSON
ejpam-1372	406	1	35	CARDINAL
ejpam-1372	406	2	35	CARDINAL
ejpam-1372	409	1	32	CARDINAL
ejpam-1372	412	1	35	CARDINAL
ejpam-1372	412	2	a2	ORG
ejpam-1372	414	1	2	CARDINAL
ejpam-1372	416	1	2k	CARDINAL
ejpam-1372	416	2	k−1	ORG
ejpam-1372	416	3	∑ l=1 1 sin(lπ/k	DATE
ejpam-1372	418	1	j. pure	PERSON
ejpam-1372	418	2	4 (2011	DATE
ejpam-1372	418	3	370	CARDINAL
ejpam-1372	419	1	36	CARDINAL
ejpam-1372	419	2	k=3	PERSON
ejpam-1372	419	3	a1=1	ORG
ejpam-1372	419	4	k=3	PERSON
ejpam-1372	420	1	9/4	CARDINAL
ejpam-1372	421	1	lagrange	GPE
ejpam-1372	423	1	first	ORDINAL
ejpam-1372	424	1	lim z→1 s(z	PERSON
ejpam-1372	425	1	lim z→1	PERSON
ejpam-1372	425	2	1− zp	QUANTITY
ejpam-1372	427	1	= lim z→1	PERSON
ejpam-1372	427	2	1− zp	QUANTITY
ejpam-1372	427	3	37	CARDINAL
ejpam-1372	427	4	ℜq	PERSON
ejpam-1372	430	1	13	CARDINAL
ejpam-1372	430	2	lim z→1 s(z	PERSON
ejpam-1372	431	1	lim z→1 �	PERSON
ejpam-1372	431	2	1− zp 1− zq	QUANTITY
ejpam-1372	433	1	38	CARDINAL
ejpam-1372	434	1	38	CARDINAL
ejpam-1372	434	2	30	CARDINAL
ejpam-1372	436	1	38	CARDINAL
ejpam-1372	436	2	1− zp	QUANTITY
ejpam-1372	437	1	q=2	ORG
ejpam-1372	437	2	s(z	PERSON
ejpam-1372	438	1	1−	TIME
ejpam-1372	439	1	39	CARDINAL
ejpam-1372	439	2	q=3	PERSON
ejpam-1372	439	3	s(z	PERSON
ejpam-1372	440	1	1− 0	TIME
ejpam-1372	441	1	z4 − z5 + z6 + .	PERSON
ejpam-1372	442	1	40	CARDINAL
ejpam-1372	442	2	first	ORDINAL
ejpam-1372	442	3	second	ORDINAL
ejpam-1372	442	4	lagrange	GPE
ejpam-1372	443	1	s(z	PERSON
ejpam-1372	443	2	1− z4 + z5	TIME
ejpam-1372	447	1	41	CARDINAL
ejpam-1372	447	2	three	CARDINAL
ejpam-1372	447	3	1	CARDINAL
ejpam-1372	449	1	38	CARDINAL
ejpam-1372	451	1	s(z	PERSON
ejpam-1372	452	1	lagrange	GPE
ejpam-1372	452	2	s(z	PERSON
ejpam-1372	453	1	s(z	PERSON
ejpam-1372	454	1	s(z	PERSON
ejpam-1372	455	1	1 and q= 2	QUANTITY
ejpam-1372	456	1	j. pure	PERSON
ejpam-1372	456	2	4 (2011	DATE
ejpam-1372	456	3	370	CARDINAL
ejpam-1372	456	4	423 384	CARDINAL
ejpam-1372	456	5	euler	PERSON
ejpam-1372	456	6	leibniz	PERSON
ejpam-1372	456	7	lagrange	GPE
ejpam-1372	459	1	one	CARDINAL
ejpam-1372	462	1	7	CARDINAL
ejpam-1372	463	1	15	CARDINAL
ejpam-1372	463	2	∞ ∑ k=0	PERSON
ejpam-1372	463	3	1	CARDINAL
ejpam-1372	463	4	1	CARDINAL
ejpam-1372	463	5	0	CARDINAL
ejpam-1372	464	1	42	CARDINAL
ejpam-1372	465	1	15	CARDINAL
ejpam-1372	468	1	euler	PERSON
ejpam-1372	470	1	today	DATE
ejpam-1372	470	2	euler	PERSON
ejpam-1372	470	3	13	CARDINAL
ejpam-1372	471	1	euler	PERSON
ejpam-1372	471	2	32	CARDINAL
ejpam-1372	473	1	euler	PERSON
ejpam-1372	473	2	∞ ∑ k=0	PERSON
ejpam-1372	473	3	1	CARDINAL
ejpam-1372	473	4	1 − log(∞	PERCENT
ejpam-1372	473	5	0.577 215	CARDINAL
ejpam-1372	473	6	664 901	CARDINAL
ejpam-1372	474	1	43	CARDINAL
ejpam-1372	474	2	42	CARDINAL
ejpam-1372	476	1	1/(k+1	CARDINAL
ejpam-1372	479	1	j. pure	PERSON
ejpam-1372	479	2	4 (2011	DATE
ejpam-1372	479	3	370	CARDINAL
ejpam-1372	479	4	∞ ∑ k=1 1	PERSON
ejpam-1372	485	1	1−	TIME
ejpam-1372	486	1	44	DATE
ejpam-1372	487	1	1	CARDINAL
ejpam-1372	487	2	1	CARDINAL
ejpam-1372	489	1	1	CARDINAL
ejpam-1372	490	1	45	CARDINAL
ejpam-1372	492	1	11	CARDINAL
ejpam-1372	492	2	euler	PERSON
ejpam-1372	493	1	zero	CARDINAL
ejpam-1372	493	2	42	CARDINAL
ejpam-1372	494	1	euler	PERSON
ejpam-1372	495	1	euler	PERSON
ejpam-1372	497	1	1	CARDINAL
ejpam-1372	498	1	46	CARDINAL
ejpam-1372	498	2	euler	PERSON
ejpam-1372	498	3	s(z	PERSON
ejpam-1372	498	4	1/(k + 1	DATE
ejpam-1372	498	5	+ γ	GPE
ejpam-1372	499	1	-1	ORG
ejpam-1372	500	1	11	CARDINAL
ejpam-1372	502	1	γ	GPE
ejpam-1372	504	1	43	CARDINAL
ejpam-1372	504	2	n ∑ k=0	PERSON
ejpam-1372	504	3	1	CARDINAL
ejpam-1372	504	4	1	CARDINAL
ejpam-1372	504	5	n ≈ γ	FAC
ejpam-1372	505	1	47	CARDINAL
ejpam-1372	505	2	lhs	PERSON
ejpam-1372	505	3	euler	PERSON
ejpam-1372	506	1	1/(1−	CARDINAL
ejpam-1372	507	1	euler	PERSON
ejpam-1372	507	2	first	ORDINAL
ejpam-1372	509	1	j. pure	PERSON
ejpam-1372	509	2	4 (2011	DATE
ejpam-1372	509	3	370	CARDINAL
ejpam-1372	510	1	18	CARDINAL
ejpam-1372	511	1	137	CARDINAL
ejpam-1372	512	1	2	CARDINAL
ejpam-1372	512	2	first	ORDINAL
ejpam-1372	513	1	18	CARDINAL
ejpam-1372	514	1	hurst	ORG
ejpam-1372	514	2	k ak	ORG
ejpam-1372	514	3	48	CARDINAL
ejpam-1372	515	1	−1)k k	PERSON
ejpam-1372	516	1	1	CARDINAL
ejpam-1372	516	2	1	CARDINAL
ejpam-1372	517	1	49	CARDINAL
ejpam-1372	517	2	156	CARDINAL
ejpam-1372	518	1	2	CARDINAL
ejpam-1372	518	2	−1)k	PERSON
ejpam-1372	520	1	50	CARDINAL
ejpam-1372	520	2	hurst	ORG
ejpam-1372	520	3	15	CARDINAL
ejpam-1372	520	4	euler	PERSON
ejpam-1372	522	1	51	CARDINAL
ejpam-1372	522	2	8	CARDINAL
ejpam-1372	523	1	euler	PERSON
ejpam-1372	524	1	ω	GPE
ejpam-1372	524	2	22	CARDINAL
ejpam-1372	526	1	qed	ORG
ejpam-1372	527	1	ω	ORG
ejpam-1372	528	1	ω	ORG
ejpam-1372	529	1	52	CARDINAL
ejpam-1372	529	2	ℜεv	PERSON
ejpam-1372	529	3	4π2	CARDINAL
ejpam-1372	530	1	53	CARDINAL
ejpam-1372	531	1	j. pure	PERSON
ejpam-1372	531	2	4 (2011	DATE
ejpam-1372	531	3	370	CARDINAL
ejpam-1372	531	4	two	CARDINAL
ejpam-1372	532	1	52	CARDINAL
ejpam-1372	532	2	−ℜεv	PERSON
ejpam-1372	532	3	0,0	CARDINAL
ejpam-1372	532	4	second	ORDINAL
ejpam-1372	532	5	+ℜεv	GPE
ejpam-1372	532	6	0,0	CARDINAL
ejpam-1372	533	1	ℜεv	PERSON
ejpam-1372	533	2	0,0	CARDINAL
ejpam-1372	533	3	4π ∞ ∑ n=0	QUANTITY
ejpam-1372	533	4	− e2 4π2 ∫ d3p � m2 + 2p2/3	ORG
ejpam-1372	534	1	54	CARDINAL
ejpam-1372	535	1	54	CARDINAL
ejpam-1372	535	2	n=0	PERSON
ejpam-1372	536	1	landau	PERSON
ejpam-1372	540	1	first	ORDINAL
ejpam-1372	540	2	54	CARDINAL
ejpam-1372	541	1	2.271(6	CARDINAL
ejpam-1372	542	1	11	CARDINAL
ejpam-1372	542	2	4π ∞ ∑ n=0	QUANTITY
ejpam-1372	542	3	3π	CARDINAL
ejpam-1372	542	4	1 n+m2/2eb	TIME
ejpam-1372	543	1	55	CARDINAL
ejpam-1372	544	1	55	CARDINAL
ejpam-1372	544	2	euler	PERSON
ejpam-1372	546	1	1	CARDINAL
ejpam-1372	546	2	1	CARDINAL
ejpam-1372	547	1	56	CARDINAL
ejpam-1372	548	1	11	CARDINAL
ejpam-1372	548	2	1	CARDINAL
ejpam-1372	548	3	1	CARDINAL
ejpam-1372	549	1	57	CARDINAL
ejpam-1372	551	1	58	CARDINAL
ejpam-1372	552	1	53	CARDINAL
ejpam-1372	552	2	4π ∞ ∑ n=0	QUANTITY
ejpam-1372	553	1	3π	CARDINAL
ejpam-1372	554	1	59	CARDINAL
ejpam-1372	555	1	j. pure	PERSON
ejpam-1372	555	2	4 (2011	DATE
ejpam-1372	555	3	370	CARDINAL
ejpam-1372	556	1	first	ORDINAL
ejpam-1372	556	2	second	ORDINAL
ejpam-1372	557	1	54	CARDINAL
ejpam-1372	557	2	0	CARDINAL
ejpam-1372	558	1	second	ORDINAL
ejpam-1372	558	2	0	CARDINAL
ejpam-1372	558	3	first	ORDINAL
ejpam-1372	560	1	55	CARDINAL
ejpam-1372	560	2	3π ∞ ∑ n=0	QUANTITY
ejpam-1372	560	3	6π	CARDINAL
ejpam-1372	560	4	3π ∞ ∑ n=0	QUANTITY
ejpam-1372	561	1	60	CARDINAL
ejpam-1372	561	2	first	ORDINAL
ejpam-1372	562	1	1	CARDINAL
ejpam-1372	562	2	first	ORDINAL
ejpam-1372	562	3	1/(1+ nb	QUANTITY
ejpam-1372	565	1	2	CARDINAL
ejpam-1372	565	2	3	CARDINAL
ejpam-1372	565	3	0	CARDINAL
ejpam-1372	566	1	3π	CARDINAL
ejpam-1372	568	1	2	CARDINAL
ejpam-1372	569	1	61	CARDINAL
ejpam-1372	570	1	8.361	CARDINAL
ejpam-1372	570	2	8.367	CARDINAL
ejpam-1372	571	1	11	CARDINAL
ejpam-1372	571	2	one	CARDINAL
ejpam-1372	572	1	62	CARDINAL
ejpam-1372	572	2	first	ORDINAL
ejpam-1372	572	3	bakshi	ORG
ejpam-1372	573	1	3	CARDINAL
ejpam-1372	574	1	62	CARDINAL
ejpam-1372	575	1	59	CARDINAL
ejpam-1372	580	1	9	CARDINAL
ejpam-1372	581	1	j. pure	PERSON
ejpam-1372	581	2	4 (2011	DATE
ejpam-1372	581	3	370	CARDINAL
ejpam-1372	581	4	423 389	CARDINAL
ejpam-1372	582	1	euler	PERSON
ejpam-1372	585	1	today	DATE
ejpam-1372	586	1	8	CARDINAL
ejpam-1372	587	1	two	CARDINAL
ejpam-1372	587	2	first	ORDINAL
ejpam-1372	588	1	63	CARDINAL
ejpam-1372	588	2	second	ORDINAL
ejpam-1372	588	3	ti i(n	PERSON
ejpam-1372	590	1	64	CARDINAL
ejpam-1372	591	1	zero	CARDINAL
ejpam-1372	592	1	1/z	CARDINAL
ejpam-1372	593	1	8	CARDINAL
ejpam-1372	594	1	151	CARDINAL
ejpam-1372	595	1	33	CARDINAL
ejpam-1372	596	1	1	CARDINAL
ejpam-1372	597	1	0	CARDINAL
ejpam-1372	598	1	sec	ORG
ejpam-1372	598	2	4.6	CARDINAL
ejpam-1372	599	1	24	CARDINAL
ejpam-1372	602	1	0.1	CARDINAL
ejpam-1372	602	2	2	CARDINAL
ejpam-1372	602	3	greater than	CARDINAL
ejpam-1372	602	4	2	CARDINAL
ejpam-1372	604	1	zero	CARDINAL
ejpam-1372	607	1	j. pure	PERSON
ejpam-1372	607	2	4 (2011	DATE
ejpam-1372	607	3	370	CARDINAL
ejpam-1372	607	4	423 390	CARDINAL
ejpam-1372	608	1	borel	PERSON
ejpam-1372	609	1	first	ORDINAL
ejpam-1372	614	1	65	CARDINAL
ejpam-1372	614	2	first	ORDINAL
ejpam-1372	615	1	first	ORDINAL
ejpam-1372	617	1	1	CARDINAL
ejpam-1372	617	2	0	CARDINAL
ejpam-1372	617	3	0	CARDINAL
ejpam-1372	617	4	z.	PERSON
ejpam-1372	620	1	65	CARDINAL
ejpam-1372	621	1	1+ zt	QUANTITY
ejpam-1372	622	1	66	CARDINAL
ejpam-1372	622	2	|arg z|<π	PERSON
ejpam-1372	622	3	first	ORDINAL
ejpam-1372	623	1	euler	PERSON
ejpam-1372	624	1	66	CARDINAL
ejpam-1372	624	2	1+	QUANTITY
ejpam-1372	625	1	67	CARDINAL
ejpam-1372	626	1	67	CARDINAL
ejpam-1372	626	2	−1)nzn−1	CARDINAL
ejpam-1372	626	3	e−s	PERSON
ejpam-1372	626	4	z−1	PERSON
ejpam-1372	626	5	68	CARDINAL
ejpam-1372	626	6	2l + 1)π	DATE
ejpam-1372	627	1	68	CARDINAL
ejpam-1372	628	1	1	CARDINAL
ejpam-1372	629	1	v. kowalenko	PERSON
ejpam-1372	630	1	j. pure	PERSON
ejpam-1372	630	2	4 (2011	DATE
ejpam-1372	630	3	370	CARDINAL
ejpam-1372	630	4	423 391	CARDINAL
ejpam-1372	632	1	1	CARDINAL
ejpam-1372	632	2	∞ ∑ k=0	PERSON
ejpam-1372	632	3	1/2	CARDINAL
ejpam-1372	633	1	69	CARDINAL
ejpam-1372	634	1	68	CARDINAL
ejpam-1372	635	1	0.663 282	CARDINAL
ejpam-1372	637	1	7.117 400	CARDINAL
ejpam-1372	638	1	10−24	CARDINAL
ejpam-1372	639	1	68	CARDINAL
ejpam-1372	639	2	one	CARDINAL
ejpam-1372	639	3	2lπ	ORDINAL
ejpam-1372	639	4	2l + 2)π	MONEY
ejpam-1372	640	1	π/2	PERSON
ejpam-1372	640	2	z<3π/2	GPE
ejpam-1372	641	1	66	CARDINAL
ejpam-1372	641	2	67	CARDINAL
ejpam-1372	642	1	66	CARDINAL
ejpam-1372	642	2	1	CARDINAL
ejpam-1372	644	1	1857	DATE
ejpam-1372	644	2	31	CARDINAL
ejpam-1372	644	3	today	DATE
ejpam-1372	647	1	65	CARDINAL
ejpam-1372	648	1	1	CARDINAL
ejpam-1372	649	1	8	CARDINAL
ejpam-1372	650	1	first	ORDINAL
ejpam-1372	650	2	2k + 1)π	DATE
ejpam-1372	651	1	67	CARDINAL
ejpam-1372	656	1	67	CARDINAL
ejpam-1372	660	1	j. pure	PERSON
ejpam-1372	660	2	4 (2011	DATE
ejpam-1372	660	3	370	CARDINAL
ejpam-1372	660	4	423 392	CARDINAL
ejpam-1372	664	1	67	CARDINAL
ejpam-1372	664	2	|arg z|<π	PERSON
ejpam-1372	665	1	66	CARDINAL
ejpam-1372	666	1	1+ zt	QUANTITY
ejpam-1372	667	1	70	CARDINAL
ejpam-1372	667	2	second	ORDINAL
ejpam-1372	668	1	64	CARDINAL
ejpam-1372	669	1	borel	PERSON
ejpam-1372	669	2	ti i(n	PERSON
ejpam-1372	673	1	1− zt	PRODUCT
ejpam-1372	674	1	71	CARDINAL
ejpam-1372	674	2	71	CARDINAL
ejpam-1372	674	3	ti i(n	PERSON
ejpam-1372	676	1	1− z exp(−2ilπ)t	TIME
ejpam-1372	677	1	72	DATE
ejpam-1372	677	2	z.	PERSON
ejpam-1372	677	3	2kπ	ORDINAL
ejpam-1372	679	1	0	CARDINAL
ejpam-1372	680	1	1	CARDINAL
ejpam-1372	681	1	8	CARDINAL
ejpam-1372	682	1	two	CARDINAL
ejpam-1372	682	2	1	CARDINAL
ejpam-1372	682	3	72	CARDINAL
ejpam-1372	683	1	2	CARDINAL
ejpam-1372	683	2	6=	DATE
ejpam-1372	684	1	first	ORDINAL
ejpam-1372	687	1	8	CARDINAL
ejpam-1372	688	1	first	ORDINAL
ejpam-1372	689	1	j. pure	PERSON
ejpam-1372	689	2	4 (2011	DATE
ejpam-1372	689	3	370	CARDINAL
ejpam-1372	689	4	423 393	CARDINAL
ejpam-1372	689	5	0	CARDINAL
ejpam-1372	690	1	35	CARDINAL
ejpam-1372	691	1	17	CARDINAL
ejpam-1372	694	1	66	CARDINAL
ejpam-1372	695	1	second	ORDINAL
ejpam-1372	695	2	ti i(n	PERSON
ejpam-1372	695	3	≡ zn	ORG
ejpam-1372	697	1	1− zt	PRODUCT
ejpam-1372	697	2	0	CARDINAL
ejpam-1372	698	1	73	CARDINAL
ejpam-1372	698	2	second	ORDINAL
ejpam-1372	698	3	411	CARDINAL
ejpam-1372	699	1	8	CARDINAL
ejpam-1372	699	2	72	CARDINAL
ejpam-1372	701	1	∫ γ 0 dθ	ORG
ejpam-1372	702	1	74	CARDINAL
ejpam-1372	702	2	72	CARDINAL
ejpam-1372	703	1	74	CARDINAL
ejpam-1372	703	2	0	CARDINAL
ejpam-1372	707	1	γ=π.	ORG
ejpam-1372	708	1	73	CARDINAL
ejpam-1372	708	2	72	CARDINAL
ejpam-1372	709	1	second	ORDINAL
ejpam-1372	710	1	1−zt	DATE
ejpam-1372	711	1	1−zt	DATE
ejpam-1372	711	2	0	CARDINAL
ejpam-1372	712	1	1−zt	DATE
ejpam-1372	713	1	75	CARDINAL
ejpam-1372	714	1	first	ORDINAL
ejpam-1372	715	1	kowalenko	PERSON
ejpam-1372	716	1	j. pure	PERSON
ejpam-1372	716	2	4 (2011	DATE
ejpam-1372	716	3	370	CARDINAL
ejpam-1372	716	4	423 394	CARDINAL
ejpam-1372	716	5	68	CARDINAL
ejpam-1372	719	1	17	CARDINAL
ejpam-1372	719	2	γ(k	PERSON
ejpam-1372	719	3	2π	CARDINAL
ejpam-1372	720	1	68	CARDINAL
ejpam-1372	721	1	sec	ORG
ejpam-1372	721	2	10.1	CARDINAL
ejpam-1372	722	1	17	CARDINAL
ejpam-1372	722	2	first	ORDINAL
ejpam-1372	722	3	25	CARDINAL
ejpam-1372	722	4	2πi	ORDINAL
ejpam-1372	722	5	76	CARDINAL
ejpam-1372	722	6	68	CARDINAL
ejpam-1372	725	1	77	CARDINAL
ejpam-1372	725	2	70	CARDINAL
ejpam-1372	725	3	second	ORDINAL
ejpam-1372	725	4	76	CARDINAL
ejpam-1372	726	1	77	CARDINAL
ejpam-1372	726	2	one	CARDINAL
ejpam-1372	726	3	first	ORDINAL
ejpam-1372	726	4	lhs	PERSON
ejpam-1372	727	1	−1)nzn−1 −1 ∫	ORG
ejpam-1372	727	2	e−s	PERSON
ejpam-1372	727	3	2πi	ORDINAL
ejpam-1372	728	1	z<3π	GPE
ejpam-1372	728	2	z−1	PERSON
ejpam-1372	730	1	67	CARDINAL
ejpam-1372	730	2	75	CARDINAL
ejpam-1372	731	1	first	ORDINAL
ejpam-1372	733	1	1− |z|t −πi	TIME
ejpam-1372	734	1	79	CARDINAL
ejpam-1372	734	2	2π	CARDINAL
ejpam-1372	735	1	76	CARDINAL
ejpam-1372	736	1	2πi	ORDINAL
ejpam-1372	736	2	1)iπ),α	ORDINAL
ejpam-1372	737	1	80	CARDINAL
ejpam-1372	737	2	l > 1	DATE
ejpam-1372	737	3	second	ORDINAL
ejpam-1372	737	4	80	CARDINAL
ejpam-1372	739	1	j. pure	PERSON
ejpam-1372	739	2	4 (2011	DATE
ejpam-1372	739	3	370	CARDINAL
ejpam-1372	739	4	73	CARDINAL
ejpam-1372	740	1	76	CARDINAL
ejpam-1372	740	2	second	ORDINAL
ejpam-1372	740	3	2πi	ORDINAL
ejpam-1372	742	1	81	CARDINAL
ejpam-1372	742	2	where(2l − 1)π	ORG
ejpam-1372	742	3	2l + 1)π	DATE
ejpam-1372	742	4	first	ORDINAL
ejpam-1372	744	1	1+ z−l	DATE
ejpam-1372	744	2	2πi	ORDINAL
ejpam-1372	744	3	iπαe1/z−l	ORG
ejpam-1372	744	4	82	CARDINAL
ejpam-1372	745	1	first	ORDINAL
ejpam-1372	748	1	− |z| −πi |z|−αe−1/|z| × � 2e−(l+1)iπα sin(lπα	ORG
ejpam-1372	750	1	83	CARDINAL
ejpam-1372	750	2	less than zero	CARDINAL
ejpam-1372	750	3	2π	CARDINAL
ejpam-1372	751	1	76	CARDINAL
ejpam-1372	751	2	84	CARDINAL
ejpam-1372	751	3	76	CARDINAL
ejpam-1372	752	1	first	ORDINAL
ejpam-1372	752	2	z. hence	PERSON
ejpam-1372	752	3	first	ORDINAL
ejpam-1372	752	4	−(2l + 1)π	ORG
ejpam-1372	752	5	− 1)π	ORG
ejpam-1372	754	1	1+ zl	QUANTITY
ejpam-1372	754	2	85	CARDINAL
ejpam-1372	755	1	z=−(2l + 1)π	ORG
ejpam-1372	758	1	2e(l+1)iπα	CARDINAL
ejpam-1372	760	1	86	CARDINAL
ejpam-1372	761	1	j. pure	PERSON
ejpam-1372	761	2	4 (2011	DATE
ejpam-1372	761	3	370	CARDINAL
ejpam-1372	761	4	423 396	CARDINAL
ejpam-1372	761	5	second	ORDINAL
ejpam-1372	762	1	25	CARDINAL
ejpam-1372	762	2	ti i(n	PERSON
ejpam-1372	763	1	ti i(n	PERSON
ejpam-1372	763	2	1)iπ	CARDINAL
ejpam-1372	764	1	2πi	CARDINAL
ejpam-1372	764	2	iπα	CARDINAL
ejpam-1372	765	1	87	CARDINAL
ejpam-1372	765	2	second	ORDINAL
ejpam-1372	765	3	lhs	PERSON
ejpam-1372	765	4	ti i(n	PERSON
ejpam-1372	765	5	− 2)iπ	PERSON
ejpam-1372	767	1	1	CARDINAL
ejpam-1372	767	2	72	CARDINAL
ejpam-1372	767	3	second	ORDINAL
ejpam-1372	768	1	ti i(n	PERSON
ejpam-1372	768	2	1− zs	ORG
ejpam-1372	769	1	2e−(l+1)iπα	CARDINAL
ejpam-1372	771	1	88	CARDINAL
ejpam-1372	771	2	88	CARDINAL
ejpam-1372	772	1	2lπ	ORDINAL
ejpam-1372	772	2	+ 1)π	ORG
ejpam-1372	773	1	z=−2lπ	PERSON
ejpam-1372	774	1	ti i(n	PERSON
ejpam-1372	776	1	1/|z|	CARDINAL
ejpam-1372	776	2	2πi	ORDINAL
ejpam-1372	777	1	× el iπα	GPE
ejpam-1372	778	1	89	CARDINAL
ejpam-1372	778	2	z=2lπ	NORP
ejpam-1372	778	3	ti i(n	PERSON
ejpam-1372	780	1	17	CARDINAL
ejpam-1372	782	1	borel	PERSON
ejpam-1372	783	1	borel	PERSON
ejpam-1372	784	1	1	CARDINAL
ejpam-1372	787	1	sec	ORG
ejpam-1372	787	2	11	CARDINAL
ejpam-1372	788	1	kowalenko	PERSON
ejpam-1372	789	1	j. pure	PERSON
ejpam-1372	789	2	4 (2011	DATE
ejpam-1372	789	3	370	CARDINAL
ejpam-1372	790	1	mellin-barnes regularisation	ORG
ejpam-1372	790	2	sec	ORG
ejpam-1372	790	3	3	CARDINAL
ejpam-1372	791	1	21	CARDINAL
ejpam-1372	791	2	euler-jacobi	PERSON
ejpam-1372	792	1	exp(−ak3	PERSON
ejpam-1372	794	1	first	ORDINAL
ejpam-1372	795	1	second	ORDINAL
ejpam-1372	796	1	the end of the previous	DATE
ejpam-1372	796	2	borel	PERSON
ejpam-1372	798	1	15	CARDINAL
ejpam-1372	799	1	mb	ORG
ejpam-1372	801	1	two	CARDINAL
ejpam-1372	803	1	borel	PERSON
ejpam-1372	804	1	7	CARDINAL
ejpam-1372	805	1	17	CARDINAL
ejpam-1372	806	1	first	ORDINAL
ejpam-1372	807	1	1	CARDINAL
ejpam-1372	807	2	second	ORDINAL
ejpam-1372	809	1	3	CARDINAL
ejpam-1372	809	2	first	ORDINAL
ejpam-1372	810	1	k)(−z)k ≡ ∫	ORG
ejpam-1372	812	1	90	CARDINAL
ejpam-1372	812	2	1	CARDINAL
ejpam-1372	812	3	l→∞	ORG
ejpam-1372	815	1	2	CARDINAL
ejpam-1372	816	1	3	CARDINAL
ejpam-1372	817	1	zs	ORG
ejpam-1372	818	1	kowalenko	PERSON
ejpam-1372	819	1	j. pure	PERSON
ejpam-1372	819	2	4 (2011	DATE
ejpam-1372	819	3	370	CARDINAL
ejpam-1372	819	4	423 398	CARDINAL
ejpam-1372	819	5	mb	ORG
ejpam-1372	819	6	z.	PERSON
ejpam-1372	820	1	90	CARDINAL
ejpam-1372	821	1	91	CARDINAL
ejpam-1372	822	1	first	ORDINAL
ejpam-1372	822	2	two	CARDINAL
ejpam-1372	823	1	91	CARDINAL
ejpam-1372	825	1	7	CARDINAL
ejpam-1372	825	2	30	DATE
ejpam-1372	825	3	33	CARDINAL
ejpam-1372	826	1	third	ORDINAL
ejpam-1372	826	2	87	CARDINAL
ejpam-1372	828	1	90	CARDINAL
ejpam-1372	832	1	85	CARDINAL
ejpam-1372	833	1	17	CARDINAL
ejpam-1372	834	1	15	CARDINAL
ejpam-1372	835	1	1k	CARDINAL
ejpam-1372	835	2	k ≡ il(z	ORG
ejpam-1372	836	1	92	CARDINAL
ejpam-1372	837	1	90	CARDINAL
ejpam-1372	837	2	2l	CARDINAL
ejpam-1372	837	3	1)π−	CARDINAL
ejpam-1372	837	4	2l + 1)π+	QUANTITY
ejpam-1372	838	1	93	CARDINAL
ejpam-1372	839	1	90	CARDINAL
ejpam-1372	839	2	il+1(z	ORG
ejpam-1372	839	3	2l + 1)π−	CARDINAL
ejpam-1372	840	1	2l+1)π−ε1	CARDINAL
ejpam-1372	840	2	il+1(z	PERSON
ejpam-1372	841	1	first	ORDINAL
ejpam-1372	842	1	j. pure	PERSON
ejpam-1372	842	2	4 (2011	DATE
ejpam-1372	842	3	370	CARDINAL
ejpam-1372	842	4	423 399	CARDINAL
ejpam-1372	846	1	94	CARDINAL
ejpam-1372	846	2	25	CARDINAL
ejpam-1372	847	1	euler	PERSON
ejpam-1372	848	1	2πi	ORDINAL
ejpam-1372	848	2	z−α	DATE
ejpam-1372	848	3	e(2l+1)iπα	PERSON
ejpam-1372	849	1	95	CARDINAL
ejpam-1372	849	2	s1(n	ORG
ejpam-1372	850	1	94	CARDINAL
ejpam-1372	853	1	95	CARDINAL
ejpam-1372	854	1	94	CARDINAL
ejpam-1372	854	2	3π−	CARDINAL
ejpam-1372	855	1	3π	CARDINAL
ejpam-1372	855	2	5π	CARDINAL
ejpam-1372	856	1	∆i2,1(z	PERSON
ejpam-1372	856	2	3π−	CARDINAL
ejpam-1372	858	1	4	CARDINAL
ejpam-1372	859	1	17	CARDINAL
ejpam-1372	861	1	96	CARDINAL
ejpam-1372	864	1	s=−α	ORG
ejpam-1372	864	2	zero	CARDINAL
ejpam-1372	864	3	n=0	PERSON
ejpam-1372	865	1	second	ORDINAL
ejpam-1372	866	1	1	CARDINAL
ejpam-1372	868	1	0	CARDINAL
ejpam-1372	870	1	second	ORDINAL
ejpam-1372	871	1	j. pure	PERSON
ejpam-1372	871	2	4 (2011	DATE
ejpam-1372	871	3	370	CARDINAL
ejpam-1372	871	4	423 400	CARDINAL
ejpam-1372	875	1	k=0	PERSON
ejpam-1372	875	2	z=0	CARDINAL
ejpam-1372	877	1	second	ORDINAL
ejpam-1372	877	2	90	CARDINAL
ejpam-1372	878	1	si i(n	PERSON
ejpam-1372	879	1	k)zk ≡ ∫	ORG
ejpam-1372	879	2	97	CARDINAL
ejpam-1372	879	3	n−1	ORG
ejpam-1372	880	1	90	CARDINAL
ejpam-1372	881	1	+ 1)iπs	DATE
ejpam-1372	883	1	94	CARDINAL
ejpam-1372	885	1	98	CARDINAL
ejpam-1372	885	2	second	ORDINAL
ejpam-1372	885	3	mb	ORG
ejpam-1372	886	1	first	ORDINAL
ejpam-1372	886	2	mb	ORG
ejpam-1372	886	3	97	CARDINAL
ejpam-1372	889	1	second	ORDINAL
ejpam-1372	889	2	75	CARDINAL
ejpam-1372	891	1	103	CARDINAL
ejpam-1372	892	1	17	CARDINAL
ejpam-1372	892	2	si i(n	PERSON
ejpam-1372	893	1	−2π−	GPE
ejpam-1372	894	1	99	CARDINAL
ejpam-1372	894	2	two	CARDINAL
ejpam-1372	894	3	first	ORDINAL
ejpam-1372	896	1	j. pure	PERSON
ejpam-1372	896	2	4 (2011	DATE
ejpam-1372	896	3	370	CARDINAL
ejpam-1372	897	1	mb	ORG
ejpam-1372	897	2	0	CARDINAL
ejpam-1372	897	3	zs	ORG
ejpam-1372	897	4	0	CARDINAL
ejpam-1372	897	5	zs	ORG
ejpam-1372	898	1	100	CARDINAL
ejpam-1372	898	2	12	CARDINAL
ejpam-1372	899	1	8	CARDINAL
ejpam-1372	900	1	c(z	PERSON
ejpam-1372	902	1	99	CARDINAL
ejpam-1372	903	1	99	CARDINAL
ejpam-1372	903	2	c(z	PERSON
ejpam-1372	904	1	2	CARDINAL
ejpam-1372	904	2	1 2	CARDINAL
ejpam-1372	905	1	101	CARDINAL
ejpam-1372	905	2	99	CARDINAL
ejpam-1372	905	3	si i(n	PERSON
ejpam-1372	905	4	1 2	CARDINAL
ejpam-1372	906	1	1 2	CARDINAL
ejpam-1372	906	2	−2π−	GPE
ejpam-1372	907	1	102	CARDINAL
ejpam-1372	907	2	argz	PERSON
ejpam-1372	909	1	first	ORDINAL
ejpam-1372	909	2	second	ORDINAL
ejpam-1372	909	3	half	CARDINAL
ejpam-1372	910	1	first	ORDINAL
ejpam-1372	911	1	c(z	GPE
ejpam-1372	911	2	zero	CARDINAL
ejpam-1372	912	1	riemann	PERSON
ejpam-1372	912	2	first	ORDINAL
ejpam-1372	913	1	first	ORDINAL
ejpam-1372	913	2	third	ORDINAL
ejpam-1372	913	3	102	CARDINAL
ejpam-1372	913	4	mb	ORG
ejpam-1372	915	1	mb	ORG
ejpam-1372	917	1	j. pure	PERSON
ejpam-1372	917	2	4 (2011	DATE
ejpam-1372	917	3	370	CARDINAL
ejpam-1372	917	4	423 402	CARDINAL
ejpam-1372	919	1	103	CARDINAL
ejpam-1372	920	1	25	CARDINAL
ejpam-1372	920	2	2πi	ORG
ejpam-1372	920	3	e−1/z	ORG
ejpam-1372	920	4	104	CARDINAL
ejpam-1372	920	5	riemann	PERSON
ejpam-1372	921	1	riemann	PERSON
ejpam-1372	923	1	17	CARDINAL
ejpam-1372	923	2	5	CARDINAL
ejpam-1372	924	1	ti i(n	PERSON
ejpam-1372	924	2	2πiz−αe−1	CARDINAL
ejpam-1372	926	1	105	CARDINAL
ejpam-1372	926	2	2	CARDINAL
ejpam-1372	926	3	2	CARDINAL
ejpam-1372	926	4	+ 5/2)π	DATE
ejpam-1372	926	5	+ 5/2)π	MONEY
ejpam-1372	926	6	argz	PERSON
ejpam-1372	926	7	96	CARDINAL
ejpam-1372	929	1	second	ORDINAL
ejpam-1372	930	1	31	CARDINAL
ejpam-1372	931	1	16	CARDINAL
ejpam-1372	931	2	18	CARDINAL
ejpam-1372	932	1	1	CARDINAL
ejpam-1372	933	1	106	CARDINAL
ejpam-1372	935	1	the riemann zeta function	ORG
ejpam-1372	935	2	2	CARDINAL
ejpam-1372	936	1	107	CARDINAL
ejpam-1372	936	2	106	CARDINAL
ejpam-1372	936	3	|z|<π	ORG
ejpam-1372	941	1	1	CARDINAL
ejpam-1372	943	1	2k	CARDINAL
ejpam-1372	944	1	108	CARDINAL
ejpam-1372	945	1	j. pure	PERSON
ejpam-1372	945	2	4 (2011	DATE
ejpam-1372	945	3	370	CARDINAL
ejpam-1372	946	1	107	CARDINAL
ejpam-1372	946	2	dirichlet	PERSON
ejpam-1372	946	3	ζ(2k)=	ORG
ejpam-1372	946	4	1/	CARDINAL
ejpam-1372	946	5	1	CARDINAL
ejpam-1372	946	6	ap	ORG
ejpam-1372	947	1	∞ ∑ k=1	PERSON
ejpam-1372	947	2	2k	CARDINAL
ejpam-1372	947	3	2	CARDINAL
ejpam-1372	947	4	2k	CARDINAL
ejpam-1372	948	1	109	CARDINAL
ejpam-1372	949	1	108	CARDINAL
ejpam-1372	949	2	109	CARDINAL
ejpam-1372	950	1	106	CARDINAL
ejpam-1372	951	1	108	CARDINAL
ejpam-1372	953	1	108	CARDINAL
ejpam-1372	953	2	1)π	ORG
ejpam-1372	954	1	108	CARDINAL
ejpam-1372	957	1	108	CARDINAL
ejpam-1372	957	2	109	CARDINAL
ejpam-1372	957	3	borel	PERSON
ejpam-1372	958	1	19	CARDINAL
ejpam-1372	959	1	1	CARDINAL
ejpam-1372	959	2	1+	CARDINAL
ejpam-1372	960	1	110	CARDINAL
ejpam-1372	960	2	0	CARDINAL
ejpam-1372	960	3	1	CARDINAL
ejpam-1372	960	4	1+	CARDINAL
ejpam-1372	961	1	111	CARDINAL
ejpam-1372	962	1	mb	ORG
ejpam-1372	963	1	112	CARDINAL
ejpam-1372	963	2	110	CARDINAL
ejpam-1372	963	3	111	CARDINAL
ejpam-1372	965	1	112	CARDINAL
ejpam-1372	966	1	j. pure	PERSON
ejpam-1372	966	2	4 (2011	DATE
ejpam-1372	966	3	370	CARDINAL
ejpam-1372	966	4	imb(−1	PERSON
ejpam-1372	967	1	mb	ORG
ejpam-1372	967	2	25	CARDINAL
ejpam-1372	967	3	−1.0	NORP
ejpam-1372	968	1	imb(−1)−	ORG
ejpam-1372	969	1	2πi	ORDINAL
ejpam-1372	970	1	113	CARDINAL
ejpam-1372	970	2	1	CARDINAL
ejpam-1372	970	3	1+	CARDINAL
ejpam-1372	970	4	1)e−iπs/2	CARDINAL
ejpam-1372	970	5	e−i	ORG
ejpam-1372	971	1	2πi	ORDINAL
ejpam-1372	971	2	114	CARDINAL
ejpam-1372	971	3	arg(a/p)<π/2	ORG
ejpam-1372	971	4	1	CARDINAL
ejpam-1372	971	5	1+	CARDINAL
ejpam-1372	972	1	2πi	ORDINAL
ejpam-1372	973	1	115	CARDINAL
ejpam-1372	973	2	115	CARDINAL
ejpam-1372	973	3	110	CARDINAL
ejpam-1372	973	4	114	CARDINAL
ejpam-1372	973	5	111	CARDINAL
ejpam-1372	973	6	102	CARDINAL
ejpam-1372	973	7	arg(a	ORG
ejpam-1372	974	1	half	CARDINAL
ejpam-1372	974	2	mb	ORG
ejpam-1372	975	1	half	CARDINAL
ejpam-1372	976	1	half	CARDINAL
ejpam-1372	978	1	110	CARDINAL
ejpam-1372	978	2	111	CARDINAL
ejpam-1372	978	3	114	CARDINAL
ejpam-1372	978	4	115	CARDINAL
ejpam-1372	978	5	only half	CARDINAL
ejpam-1372	978	6	second	ORDINAL
ejpam-1372	980	1	19	CARDINAL
ejpam-1372	981	1	11	CARDINAL
ejpam-1372	981	2	i and ii series	EVENT
ejpam-1372	983	1	j. pure	PERSON
ejpam-1372	983	2	4 (2011	DATE
ejpam-1372	983	3	370	CARDINAL
ejpam-1372	983	4	423 405	CARDINAL
ejpam-1372	983	5	euler	PERSON
ejpam-1372	985	1	≈	CARDINAL
ejpam-1372	992	1	paris	GPE
ejpam-1372	992	2	26	CARDINAL
ejpam-1372	993	1	15	CARDINAL
ejpam-1372	993	2	5/48)(z3/3)4/5	TIME
ejpam-1372	994	1	15	CARDINAL
ejpam-1372	998	1	26	CARDINAL
ejpam-1372	1000	1	9	CARDINAL
ejpam-1372	1000	2	10	CARDINAL
ejpam-1372	1001	1	17	CARDINAL
ejpam-1372	1002	1	borel	PERSON
ejpam-1372	1003	1	numerics	ORG
ejpam-1372	1004	1	borel	PERSON
ejpam-1372	1005	1	17	CARDINAL
ejpam-1372	1006	1	first	ORDINAL
ejpam-1372	1007	1	z.	PERSON
ejpam-1372	1007	2	3/7	CARDINAL
ejpam-1372	1010	1	eqs	ORG
ejpam-1372	1010	2	63	CARDINAL
ejpam-1372	1010	3	64	CARDINAL
ejpam-1372	1011	1	j. pure	PERSON
ejpam-1372	1011	2	4 (2011	DATE
ejpam-1372	1011	3	370	CARDINAL
ejpam-1372	1012	1	first	ORDINAL
ejpam-1372	1012	2	0.1	CARDINAL
ejpam-1372	1012	3	second	ORDINAL
ejpam-1372	1012	4	2	CARDINAL
ejpam-1372	1015	1	82	CARDINAL
ejpam-1372	1015	2	85	CARDINAL
ejpam-1372	1016	1	3/7	CARDINAL
ejpam-1372	1016	2	z3)≡	GPE
ejpam-1372	1017	1	1+	DATE
ejpam-1372	1017	2	2πi	ORDINAL
ejpam-1372	1018	1	116	CARDINAL
ejpam-1372	1018	2	2l	CARDINAL
ejpam-1372	1018	3	2l + 1)π/3	DATE
ejpam-1372	1018	4	1)π/3	ORDINAL
ejpam-1372	1020	1	z=±(2l + 1)π/3	LOC
ejpam-1372	1020	2	83	CARDINAL
ejpam-1372	1020	3	86	CARDINAL
ejpam-1372	1020	4	3/7	CARDINAL
ejpam-1372	1025	1	117	CARDINAL
ejpam-1372	1025	2	96	CARDINAL
ejpam-1372	1026	1	3/7	CARDINAL
ejpam-1372	1026	2	z3)≡	GPE
ejpam-1372	1026	3	3/7	CARDINAL
ejpam-1372	1026	4	2πiz−9/7e1	CARDINAL
ejpam-1372	1026	5	118	CARDINAL
ejpam-1372	1026	6	±2l	ORG
ejpam-1372	1026	7	3/2)π/3	MONEY
ejpam-1372	1026	8	+ 3/2)π/3	DATE
ejpam-1372	1027	1	three	CARDINAL
ejpam-1372	1028	1	π/6	ORG
ejpam-1372	1028	2	−7π/6	ORG
ejpam-1372	1029	1	1	CARDINAL
ejpam-1372	1029	2	π/6	ORG
ejpam-1372	1032	1	kowalenko	PERSON
ejpam-1372	1033	1	j. pure	PERSON
ejpam-1372	1033	2	4 (2011	DATE
ejpam-1372	1033	3	370	CARDINAL
ejpam-1372	1033	4	423 407	CARDINAL
ejpam-1372	1033	5	1	CARDINAL
ejpam-1372	1033	6	appendix	NORP
ejpam-1372	1033	7	118	CARDINAL
ejpam-1372	1033	8	mathematica	PERSON
ejpam-1372	1033	9	34	CARDINAL
ejpam-1372	1035	1	20	CARDINAL
ejpam-1372	1036	1	118	CARDINAL
ejpam-1372	1036	2	∑ k=0	PERSON
ejpam-1372	1037	1	119	CARDINAL
ejpam-1372	1037	2	118	CARDINAL
ejpam-1372	1039	1	119	CARDINAL
ejpam-1372	1039	2	mb	ORG
ejpam-1372	1040	1	first	ORDINAL
ejpam-1372	1040	2	1	CARDINAL
ejpam-1372	1041	1	1	CARDINAL
ejpam-1372	1041	2	118	CARDINAL
ejpam-1372	1042	1	second	ORDINAL
ejpam-1372	1043	1	119	CARDINAL
ejpam-1372	1044	1	first	ORDINAL
ejpam-1372	1045	1	119	CARDINAL
ejpam-1372	1045	2	4/5)exp(iπ/4	CARDINAL
ejpam-1372	1046	1	fourth	ORDINAL
ejpam-1372	1046	2	mb	ORG
ejpam-1372	1046	3	118	CARDINAL
ejpam-1372	1046	4	fifth	ORDINAL
ejpam-1372	1046	5	second	ORDINAL
ejpam-1372	1048	1	third	ORDINAL
ejpam-1372	1048	2	fourth	ORDINAL
ejpam-1372	1048	3	fifth	ORDINAL
ejpam-1372	1049	1	1	CARDINAL
ejpam-1372	1049	2	mathematica 4.1	PERSON
ejpam-1372	1050	1	mb	ORG
ejpam-1372	1050	2	118	CARDINAL
ejpam-1372	1051	1	two	CARDINAL
ejpam-1372	1051	2	zero	CARDINAL
ejpam-1372	1053	1	accuracygoal	ORG
ejpam-1372	1053	2	precisiongoal	ORG
ejpam-1372	1054	1	mathematica 4.1	PERSON
ejpam-1372	1054	2	16	CARDINAL
ejpam-1372	1054	3	16	CARDINAL
ejpam-1372	1054	4	14	CARDINAL
ejpam-1372	1055	1	6.0 to	CARDINAL
ejpam-1372	1055	2	8.0	CARDINAL
ejpam-1372	1057	1	mb	ORG
ejpam-1372	1057	2	3	CARDINAL
ejpam-1372	1059	1	v. kowalenko	PERSON
ejpam-1372	1060	1	j. pure	PERSON
ejpam-1372	1060	2	4 (2011	DATE
ejpam-1372	1060	3	370-423 408	QUANTITY
ejpam-1372	1060	4	mb	ORG
ejpam-1372	1060	5	118	CARDINAL
ejpam-1372	1060	6	14	CARDINAL
ejpam-1372	1060	7	about 14	CARDINAL
ejpam-1372	1062	1	2	CARDINAL
ejpam-1372	1062	2	third	ORDINAL
ejpam-1372	1063	1	4/5	CARDINAL
ejpam-1372	1064	1	z	ORG
ejpam-1372	1065	1	n≤5	PERSON
ejpam-1372	1067	1	mb	ORG
ejpam-1372	1068	1	20	CARDINAL
ejpam-1372	1068	2	1010	CARDINAL
ejpam-1372	1068	3	first	ORDINAL
ejpam-1372	1068	4	10	CARDINAL
ejpam-1372	1069	1	119	CARDINAL
ejpam-1372	1070	1	0	CARDINAL
ejpam-1372	1070	2	5	CARDINAL
ejpam-1372	1073	1	n ≥ 5	DATE
ejpam-1372	1074	1	n=20	ORG
ejpam-1372	1076	1	integrand	ORG
ejpam-1372	1076	2	mathematica	PERSON
ejpam-1372	1076	3	intgrd[z−	NORP
ejpam-1372	1079	1	3/7]/	CARDINAL
ejpam-1372	1080	1	z(= |z|exp(iarg z	PERSON
ejpam-1372	1082	1	mathematica	PERSON
ejpam-1372	1083	1	1	CARDINAL
ejpam-1372	1084	1	n=20	ORG
ejpam-1372	1085	1	7.0	CARDINAL
ejpam-1372	1085	2	1.25	CARDINAL
ejpam-1372	1086	1	4/5	CARDINAL
ejpam-1372	1086	2	2	CARDINAL
ejpam-1372	1086	3	two	CARDINAL
ejpam-1372	1087	1	j. pure	PERSON
ejpam-1372	1087	2	4 (2011	DATE
ejpam-1372	1087	3	370	CARDINAL
ejpam-1372	1087	4	409 appendix	QUANTITY
ejpam-1372	1087	5	first	ORDINAL
ejpam-1372	1087	6	the upper half	DATE
ejpam-1372	1087	7	argz	PERSON
ejpam-1372	1087	8	second	ORDINAL
ejpam-1372	1087	9	|z|=2	ORG
ejpam-1372	1088	1	second	ORDINAL
ejpam-1372	1089	1	7.0	CARDINAL
ejpam-1372	1089	2	argz−	ORG
ejpam-1372	1089	3	3s)exp[(3	CARDINAL
ejpam-1372	1089	4	argz−	ORG
ejpam-1372	1089	5	2	CARDINAL
ejpam-1372	1089	6	3/7]/(exp[−i	CARDINAL
ejpam-1372	1090	1	1	CARDINAL
ejpam-1372	1090	2	1	CARDINAL
ejpam-1372	1090	3	two	CARDINAL
ejpam-1372	1091	1	second	ORDINAL
ejpam-1372	1091	2	mathematica 4.1	PERSON
ejpam-1372	1092	1	less than 30 seconds	TIME
ejpam-1372	1092	2	several minutes	TIME
ejpam-1372	1092	3	first	ORDINAL
ejpam-1372	1094	1	|z|=2	ORG
ejpam-1372	1095	1	2	CARDINAL
ejpam-1372	1095	2	mathematica	PERSON
ejpam-1372	1095	3	mathematica 7.0	PERSON
ejpam-1372	1097	1	less than 25	CARDINAL
ejpam-1372	1097	2	at least 30	CARDINAL
ejpam-1372	1099	1	118	CARDINAL
ejpam-1372	1100	1	two	CARDINAL
ejpam-1372	1100	2	euler	PERSON
ejpam-1372	1102	1	euler	PERSON
ejpam-1372	1102	2	second	ORDINAL
ejpam-1372	1103	1	3	CARDINAL
ejpam-1372	1103	2	mathematica	PERSON
ejpam-1372	1103	3	2	CARDINAL
ejpam-1372	1103	4	mathematica 7.0	PERSON
ejpam-1372	1103	5	2	CARDINAL
ejpam-1372	1103	6	less than zero	CARDINAL
ejpam-1372	1104	1	118	CARDINAL
ejpam-1372	1106	1	j. pure	PERSON
ejpam-1372	1106	2	4 (2011	DATE
ejpam-1372	1106	3	370	CARDINAL
ejpam-1372	1108	1	105	CARDINAL
ejpam-1372	1110	1	2	CARDINAL
ejpam-1372	1110	2	3	CARDINAL
ejpam-1372	1112	1	118	CARDINAL
ejpam-1372	1116	1	4	CARDINAL
ejpam-1372	1116	2	appendix	NORP
ejpam-1372	1116	3	borel	PERSON
ejpam-1372	1116	4	116	CARDINAL
ejpam-1372	1117	1	mathematica	PERSON
ejpam-1372	1118	1	mathematica 7.0	ORG
ejpam-1372	1119	1	2	CARDINAL
ejpam-1372	1120	1	4	CARDINAL
ejpam-1372	1120	2	2	CARDINAL
ejpam-1372	1120	3	two	CARDINAL
ejpam-1372	1121	1	one	CARDINAL
ejpam-1372	1122	1	only a few cpu seconds	TIME
ejpam-1372	1122	2	between 20 and 90 seconds	CARDINAL
ejpam-1372	1122	3	mathematica 4.1	ORG
ejpam-1372	1123	1	borel	PERSON
ejpam-1372	1123	2	euler-jacobi	PERSON
ejpam-1372	1123	3	p/q=3	ORG
ejpam-1372	1124	1	21	CARDINAL
ejpam-1372	1125	1	first	ORDINAL
ejpam-1372	1125	2	4	CARDINAL
ejpam-1372	1125	3	116	CARDINAL
ejpam-1372	1127	1	third	ORDINAL
ejpam-1372	1129	1	second	ORDINAL
ejpam-1372	1130	1	119	CARDINAL
ejpam-1372	1130	2	fifth	ORDINAL
ejpam-1372	1130	3	sixth	ORDINAL
ejpam-1372	1130	4	116	CARDINAL
ejpam-1372	1131	1	116	CARDINAL
ejpam-1372	1132	1	borel	PERSON
ejpam-1372	1132	2	three	CARDINAL
ejpam-1372	1133	1	4	CARDINAL
ejpam-1372	1133	2	kowalenko	PERSON
ejpam-1372	1134	1	j. pure	PERSON
ejpam-1372	1134	2	4 (2011	DATE
ejpam-1372	1134	3	370	CARDINAL
ejpam-1372	1134	4	arg z.	PERSON
ejpam-1372	1139	1	less than 0.01	CARDINAL
ejpam-1372	1140	1	4	CARDINAL
ejpam-1372	1140	2	2	CARDINAL
ejpam-1372	1143	1	119	CARDINAL
ejpam-1372	1143	2	borel	PERSON
ejpam-1372	1143	3	116	CARDINAL
ejpam-1372	1143	4	118	CARDINAL
ejpam-1372	1144	1	two	CARDINAL
ejpam-1372	1144	2	euler	PERSON
ejpam-1372	1144	3	second	ORDINAL
ejpam-1372	1145	1	5	CARDINAL
ejpam-1372	1145	2	appendix	NORP
ejpam-1372	1145	3	second	ORDINAL
ejpam-1372	1145	4	mathematica 7.0	PERSON
ejpam-1372	1145	5	half	CARDINAL
ejpam-1372	1147	1	4	CARDINAL
ejpam-1372	1148	1	3	CARDINAL
ejpam-1372	1152	1	4/5	CARDINAL
ejpam-1372	1153	1	5	CARDINAL
ejpam-1372	1153	2	3	CARDINAL
ejpam-1372	1155	1	116	CARDINAL
ejpam-1372	1156	1	second	ORDINAL
ejpam-1372	1156	2	116	CARDINAL
ejpam-1372	1156	3	118	CARDINAL
ejpam-1372	1156	4	z.	PERSON
ejpam-1372	1156	5	π/6	ORG
ejpam-1372	1156	6	0	CARDINAL
ejpam-1372	1157	1	118	CARDINAL
ejpam-1372	1158	1	j. pure	PERSON
ejpam-1372	1158	2	4 (2011	DATE
ejpam-1372	1158	3	370	CARDINAL
ejpam-1372	1158	4	1	CARDINAL
ejpam-1372	1158	5	118	CARDINAL
ejpam-1372	1159	1	zero	CARDINAL
ejpam-1372	1159	2	borel	PERSON
ejpam-1372	1159	3	π/3	NORP
ejpam-1372	1160	1	0	CARDINAL
ejpam-1372	1160	2	116	CARDINAL
ejpam-1372	1160	3	π/3	PERSON
ejpam-1372	1160	4	1	CARDINAL
ejpam-1372	1160	5	1	CARDINAL
ejpam-1372	1162	1	mathematica	PERSON
ejpam-1372	1162	2	117	CARDINAL
ejpam-1372	1163	1	mathematica 7.0	PERSON
ejpam-1372	1164	1	sec	ORG
ejpam-1372	1165	1	11.3	CARDINAL
ejpam-1372	1166	1	17	CARDINAL
ejpam-1372	1167	1	mathematica 4.1	PERSON
ejpam-1372	1168	1	second	ORDINAL
ejpam-1372	1170	1	1/8	CARDINAL
ejpam-1372	1171	1	accuracygoal	GPE
ejpam-1372	1171	2	precisiongoal	ORG
ejpam-1372	1171	3	2 to 5	CARDINAL
ejpam-1372	1171	4	6	CARDINAL
ejpam-1372	1171	5	appendix	NORP
ejpam-1372	1172	1	only a few cpu seconds	TIME
ejpam-1372	1175	1	1	CARDINAL
ejpam-1372	1176	1	8	CARDINAL
ejpam-1372	1177	1	π/2	PERSON
ejpam-1372	1178	1	fourth	ORDINAL
ejpam-1372	1178	2	6	CARDINAL
ejpam-1372	1180	1	3	CARDINAL
ejpam-1372	1181	1	mathematica	PERSON
ejpam-1372	1182	1	56	CARDINAL
ejpam-1372	1184	1	euler	PERSON
ejpam-1372	1186	1	17	CARDINAL
ejpam-1372	1188	1	j. pure	PERSON
ejpam-1372	1188	2	4 (2011	DATE
ejpam-1372	1188	3	370	CARDINAL
ejpam-1372	1188	4	423 413	CARDINAL
ejpam-1372	1189	1	borel	PERSON
ejpam-1372	1190	1	euler	PERSON
ejpam-1372	1192	1	17	CARDINAL
ejpam-1372	1194	1	1	CARDINAL
ejpam-1372	1195	1	120	CARDINAL
ejpam-1372	1196	1	sec	ORG
ejpam-1372	1196	2	9	CARDINAL
ejpam-1372	1196	3	borel	PERSON
ejpam-1372	1198	1	120	CARDINAL
ejpam-1372	1199	1	28	CARDINAL
ejpam-1372	1201	1	pk+q−1 jν(ax)kν(ax	PERSON
ejpam-1372	1202	1	2pk+q−3	CARDINAL
ejpam-1372	1203	1	121	CARDINAL
ejpam-1372	1204	1	120	CARDINAL
ejpam-1372	1206	1	120	CARDINAL
ejpam-1372	1206	2	k.	PERSON
ejpam-1372	1207	1	0	CARDINAL
ejpam-1372	1207	2	argz	PERSON
ejpam-1372	1211	1	2πi	ORDINAL
ejpam-1372	1212	1	122	CARDINAL
ejpam-1372	1212	2	sec	ORG
ejpam-1372	1212	3	9	CARDINAL
ejpam-1372	1213	1	borel	PERSON
ejpam-1372	1214	1	122	CARDINAL
ejpam-1372	1214	2	11	CARDINAL
ejpam-1372	1215	1	17	CARDINAL
ejpam-1372	1217	1	two	CARDINAL
ejpam-1372	1218	1	j. pure	PERSON
ejpam-1372	1218	2	4 (2011	DATE
ejpam-1372	1218	3	370	CARDINAL
ejpam-1372	1218	4	423 414	CARDINAL
ejpam-1372	1219	1	borel	PERSON
ejpam-1372	1220	1	euler	PERSON
ejpam-1372	1222	1	12	CARDINAL
ejpam-1372	1223	1	euler	PERSON
ejpam-1372	1224	1	euler	PERSON
ejpam-1372	1225	1	today	DATE
ejpam-1372	1226	1	32	CARDINAL
ejpam-1372	1226	2	euler	PERSON
ejpam-1372	1226	3	2007	DATE
ejpam-1372	1226	4	euler	PERSON
ejpam-1372	1227	1	euler	PERSON
ejpam-1372	1228	1	euler	PERSON
ejpam-1372	1229	1	first	ORDINAL
ejpam-1372	1229	2	13	CARDINAL
ejpam-1372	1234	1	euler	PERSON
ejpam-1372	1236	1	about a century	DATE
ejpam-1372	1237	1	today	DATE
ejpam-1372	1238	1	the nineteenth century	DATE
ejpam-1372	1239	1	the past two decades	DATE
ejpam-1372	1239	2	4	CARDINAL
ejpam-1372	1239	3	5	DATE
ejpam-1372	1239	4	21	DATE
ejpam-1372	1239	5	27	DATE
ejpam-1372	1239	6	29	CARDINAL
ejpam-1372	1239	7	415	CARDINAL
ejpam-1372	1241	1	7	CARDINAL
ejpam-1372	1244	1	borel	PERSON
ejpam-1372	1246	1	7	CARDINAL
ejpam-1372	1248	1	21	CARDINAL
ejpam-1372	1248	2	borel	PERSON
ejpam-1372	1250	1	15	CARDINAL
ejpam-1372	1251	1	euler	PERSON
ejpam-1372	1253	1	1	CARDINAL
ejpam-1372	1255	1	dover	GPE
ejpam-1372	1255	2	new york	GPE
ejpam-1372	1255	3	1970	DATE
ejpam-1372	1256	1	2	CARDINAL
ejpam-1372	1258	1	nova science publishers	ORG
ejpam-1372	1258	2	new york	GPE
ejpam-1372	1258	3	2008	DATE
ejpam-1372	1259	1	3	CARDINAL
ejpam-1372	1259	2	g kalman	PERSON
ejpam-1372	1261	1	n. y. acad	PERSON
ejpam-1372	1262	1	sci.	ORG
ejpam-1372	1262	2	257:95–107	CARDINAL
ejpam-1372	1262	3	1975	DATE
ejpam-1372	1263	1	4	CARDINAL
ejpam-1372	1263	2	j boyd	PERSON
ejpam-1372	1265	1	kluwer	ORG
ejpam-1372	1265	2	amsterdam	GPE
ejpam-1372	1265	3	1998	DATE
ejpam-1372	1266	1	5	CARDINAL
ejpam-1372	1266	2	j boyd	PERSON
ejpam-1372	1269	1	acta	PERSON
ejpam-1372	1270	1	56:1–98, 1999	DATE
ejpam-1372	1271	1	6	CARDINAL
ejpam-1372	1272	1	second	ORDINAL
ejpam-1372	1273	1	macmillan	ORG
ejpam-1372	1273	2	london	GPE
ejpam-1372	1273	3	1965	DATE
ejpam-1372	1274	1	416	CARDINAL
ejpam-1372	1275	1	7	CARDINAL
ejpam-1372	1277	1	clarendon	GPE
ejpam-1372	1277	2	oxford	NORP
ejpam-1372	1277	3	1976	DATE
ejpam-1372	1278	1	8	CARDINAL
ejpam-1372	1280	1	london	GPE
ejpam-1372	1280	2	1973	DATE
ejpam-1372	1281	1	9	CARDINAL
ejpam-1372	1283	1	nasa technical paper	ORG
ejpam-1372	1283	2	3428	DATE
ejpam-1372	1283	3	langley research center	ORG
ejpam-1372	1283	4	virginia, usa, 1994	GPE
ejpam-1372	1284	1	10	CARDINAL
ejpam-1372	1286	1	new york	GPE
ejpam-1372	1286	2	1964	DATE
ejpam-1372	1287	1	11	CARDINAL
ejpam-1372	1288	1	5-th edition	QUANTITY
ejpam-1372	1289	1	london	GPE
ejpam-1372	1289	2	1994	DATE
ejpam-1372	1290	1	12	CARDINAL
ejpam-1372	1292	1	clarendon	GPE
ejpam-1372	1292	2	oxford	NORP
ejpam-1372	1292	3	1963	DATE
ejpam-1372	1293	1	13	CARDINAL
ejpam-1372	1293	2	j havil	PERSON
ejpam-1372	1294	1	euler	PERSON
ejpam-1372	1295	1	princeton university press	ORG
ejpam-1372	1295	2	princeton	ORG
ejpam-1372	1295	3	1976	DATE
ejpam-1372	1296	1	14	CARDINAL
ejpam-1372	1298	1	2	CARDINAL
ejpam-1372	1299	1	transworld	ORG
ejpam-1372	1299	2	trivandrum	GPE
ejpam-1372	1299	3	india	GPE
ejpam-1372	1299	4	2001	DATE
ejpam-1372	1300	1	15	CARDINAL
ejpam-1372	1301	1	exactification	PERSON
ejpam-1372	1303	1	comput	PERSON
ejpam-1372	1303	2	133:487–518, 2002	DATE
ejpam-1372	1304	1	16	CARDINAL
ejpam-1372	1306	1	acta	PERSON
ejpam-1372	1307	1	106:369–420, 2009	DATE
ejpam-1372	1308	1	17	CARDINAL
ejpam-1372	1309	1	borel	PERSON
ejpam-1372	1309	2	mellin-barnes regularisation	ORG
ejpam-1372	1310	1	bentham science publishers	ORG
ejpam-1372	1310	2	2009	DATE
ejpam-1372	1311	1	18	CARDINAL
ejpam-1372	1314	1	109:413–437, 2010	DATE
ejpam-1372	1315	1	19	CARDINAL
ejpam-1372	1317	1	114:15–134, 2011	DATE
ejpam-1372	1318	1	20	CARDINAL
ejpam-1372	1319	1	euler	PERSON
ejpam-1372	1321	1	euler	PERSON
ejpam-1372	1321	2	s, 2011	DATE
ejpam-1372	1322	1	21	CARDINAL
ejpam-1372	1322	2	v kowalenko	PERSON
ejpam-1372	1322	3	n frankel	PERSON
ejpam-1372	1323	1	euler-jacobi	PERSON
ejpam-1372	1324	1	london	GPE
ejpam-1372	1324	2	214	CARDINAL
ejpam-1372	1325	1	cambridge university press	ORG
ejpam-1372	1325	2	cambridge	GPE
ejpam-1372	1325	3	1995	DATE
ejpam-1372	1326	1	22	CARDINAL
ejpam-1372	1326	2	v kowalenko	PERSON
ejpam-1372	1326	3	n frankel	PERSON
ejpam-1372	1328	1	126(3):109–187	CARDINAL
ejpam-1372	1328	2	1985	DATE
ejpam-1372	1329	1	417	CARDINAL
ejpam-1372	1330	1	23	CARDINAL
ejpam-1372	1333	1	cambridge university press	ORG
ejpam-1372	1333	2	cambridge	GPE
ejpam-1372	1333	3	1975	DATE
ejpam-1372	1334	1	24	CARDINAL
ejpam-1372	1335	1	i. mcgraw-hill	PERSON
ejpam-1372	1335	2	new york	GPE
ejpam-1372	1335	3	1953	DATE
ejpam-1372	1336	1	25	CARDINAL
ejpam-1372	1338	1	berlin	GPE
ejpam-1372	1338	2	1974	DATE
ejpam-1372	1339	1	26	CARDINAL
ejpam-1372	1339	2	paris	GPE
ejpam-1372	1342	1	j. pure	PERSON
ejpam-1372	1344	1	3(6):1006–1031	DATE
ejpam-1372	1344	2	2010	DATE
ejpam-1372	1345	1	27	CARDINAL
ejpam-1372	1345	2	paris	GPE
ejpam-1372	1345	3	kaminski	PERSON
ejpam-1372	1346	1	asymptotics	ORG
ejpam-1372	1346	2	mellin-barnes integrals	ORG
ejpam-1372	1347	1	cambridge university press	ORG
ejpam-1372	1347	2	cambridge	GPE
ejpam-1372	1347	3	2001	DATE
ejpam-1372	1348	1	28	CARDINAL
ejpam-1372	1348	2	yu brychkov	PERSON
ejpam-1372	1349	1	2	CARDINAL
ejpam-1372	1350	1	gordon	PERSON
ejpam-1372	1350	2	new york	GPE
ejpam-1372	1350	3	1986	DATE
ejpam-1372	1351	1	29	CARDINAL
ejpam-1372	1351	2	s tanveer	ORG
ejpam-1372	1353	1	plenum press	ORG
ejpam-1372	1353	2	new york	GPE
ejpam-1372	1353	3	1991	DATE
ejpam-1372	1354	1	30	CARDINAL
ejpam-1372	1355	1	schaum	ORG
ejpam-1372	1356	1	mcgraw-hill	ORG
ejpam-1372	1356	2	new york	GPE
ejpam-1372	1356	3	1974	DATE
ejpam-1372	1357	1	31	CARDINAL
ejpam-1372	1359	1	4	CARDINAL
ejpam-1372	1359	2	77–109	ORG
ejpam-1372	1360	1	cambridge university press	ORG
ejpam-1372	1360	2	cambridge	GPE
ejpam-1372	1360	3	1904	DATE
ejpam-1372	1361	1	32	CARDINAL
ejpam-1372	1361	2	euler	PERSON
ejpam-1372	1362	1	bulletin	PERSON
ejpam-1372	1362	2	american	NORP
ejpam-1372	1362	3	44(4):515–539	CARDINAL
ejpam-1372	1362	4	2007	DATE
ejpam-1372	1363	1	33	CARDINAL
ejpam-1372	1363	2	g watson	PERSON
ejpam-1372	1365	1	cambridge university press	ORG
ejpam-1372	1365	2	cambridge	GPE
ejpam-1372	1365	3	1973	DATE
ejpam-1372	1366	1	34	CARDINAL
ejpam-1372	1368	1	addison-wesley	ORG
ejpam-1372	1368	2	massachusetts	GPE
ejpam-1372	1368	3	1992	DATE
ejpam-1372	1369	1	35	CARDINAL
ejpam-1372	1370	1	des sciences	GPE
ejpam-1372	1370	2	12:1–76, 1929	DATE
ejpam-1372	1371	1	418	CARDINAL
ejpam-1372	1371	2	1	CARDINAL
ejpam-1372	1371	3	3/7	CARDINAL
ejpam-1372	1371	4	4/5)exp(iπ/4	CARDINAL
ejpam-1372	1372	1	0	CARDINAL
ejpam-1372	1375	1	2.116366897116477	CARDINAL
ejpam-1372	1378	1	1	CARDINAL
ejpam-1372	1382	1	1 1	CARDINAL
ejpam-1372	1382	2	2.11636689711647	ORG
ejpam-1372	1384	1	2	CARDINAL
ejpam-1372	1384	2	2.38830566931499	MONEY
ejpam-1372	1384	3	0	CARDINAL
ejpam-1372	1385	1	2	CARDINAL
ejpam-1372	1385	2	2.11636689711647 −0.32079394275467	PRODUCT
ejpam-1372	1388	1	5	CARDINAL
ejpam-1372	1388	2	2.11636689711647 −0.94437739311064	MONEY
ejpam-1372	1388	3	5	CARDINAL
ejpam-1372	1388	4	2.11636689711647 −0.94437739311064	MONEY
ejpam-1372	1391	1	10	CARDINAL
ejpam-1372	1391	2	242.349288466045	CARDINAL
ejpam-1372	1391	3	2.11636689711576	MONEY
ejpam-1372	1391	4	10 1 242.349288466045	DATE
ejpam-1372	1391	5	2.11636689712853	CARDINAL
ejpam-1372	1393	1	15	CARDINAL
ejpam-1372	1394	1	208802.36328065	DATE
ejpam-1372	1394	2	2.11636690574232	CARDINAL
ejpam-1372	1396	1	15 1 −208800.24691375	TIME
ejpam-1372	1396	2	2.11636608755697	CARDINAL
ejpam-1372	1400	1	20	CARDINAL
ejpam-1372	1400	2	1010	CARDINAL
ejpam-1372	1400	3	1010	CARDINAL
ejpam-1372	1400	4	2.11630249023437	MONEY
ejpam-1372	1401	1	20 1	CARDINAL
ejpam-1372	1401	2	1010	CARDINAL
ejpam-1372	1401	3	1010	CARDINAL
ejpam-1372	1401	4	3.23580268885024	CARDINAL
ejpam-1372	1401	5	1010	CARDINAL
ejpam-1372	1405	1	419	CARDINAL
ejpam-1372	1405	2	2	CARDINAL
ejpam-1372	1405	3	3/7	CARDINAL
ejpam-1372	1405	4	4/5	CARDINAL
ejpam-1372	1405	5	0	CARDINAL
ejpam-1372	1406	1	0	CARDINAL
ejpam-1372	1407	1	1.971898996789572	MONEY
ejpam-1372	1411	1	6.405352445877721	MONEY
ejpam-1372	1411	2	1.971898996789572	MONEY
ejpam-1372	1413	1	5	CARDINAL
ejpam-1372	1413	2	1.8292655633621052	CARDINAL
ejpam-1372	1416	1	5 1	CARDINAL
ejpam-1372	1416	2	1.8292655633621052	CARDINAL
ejpam-1372	1417	1	1.971898996789572	CARDINAL
ejpam-1372	1420	1	1	CARDINAL
ejpam-1372	1420	2	3π/7	CARDINAL
ejpam-1372	1422	1	1 1 3π/7	QUANTITY
ejpam-1372	1422	2	4.32892624192865	MONEY
ejpam-1372	1423	1	4	CARDINAL
ejpam-1372	1423	2	3π/7	CARDINAL
ejpam-1372	1426	1	2 1 2π/3	QUANTITY
ejpam-1372	1427	1	−55.76285931708239 −13.1335079271702 i −13.1335079271702	ORG
ejpam-1372	1427	2	8 1 2π/3	QUANTITY
ejpam-1372	1428	1	−55.76285931708239 −13.1335079271702	ORG
ejpam-1372	1428	2	2	CARDINAL
ejpam-1372	1428	3	2.2943472988456945	CARDINAL
ejpam-1372	1428	4	4.276241548706656	MONEY
ejpam-1372	1432	1	6	CARDINAL
ejpam-1372	1434	1	420table 3	CARDINAL
ejpam-1372	1434	2	3/7	CARDINAL
ejpam-1372	1434	3	2	CARDINAL
ejpam-1372	1435	1	1	CARDINAL
ejpam-1372	1435	2	2.067751172656022	MONEY
ejpam-1372	1436	1	6	CARDINAL
ejpam-1372	1436	2	784807.1337191856	CARDINAL
ejpam-1372	1438	1	2	CARDINAL
ejpam-1372	1439	1	5	CARDINAL
ejpam-1372	1440	1	2	CARDINAL
ejpam-1372	1440	2	7.07991708210346	CARDINAL
ejpam-1372	1441	1	2	CARDINAL
ejpam-1372	1441	2	7.07991708210346	CARDINAL
ejpam-1372	1443	1	5	CARDINAL
ejpam-1372	1444	1	5	CARDINAL
ejpam-1372	1447	1	5	CARDINAL
ejpam-1372	1447	2	−44834.957245040938	GPE
ejpam-1372	1448	1	5	CARDINAL
ejpam-1372	1448	2	−44834.957245040938	GPE
ejpam-1372	1448	3	0.0	CARDINAL
ejpam-1372	1450	1	4	CARDINAL
ejpam-1372	1450	2	668.2300900870667	CARDINAL
ejpam-1372	1450	3	0	CARDINAL
ejpam-1372	1453	1	668.2300900870667	CARDINAL
ejpam-1372	1456	1	9	CARDINAL
ejpam-1372	1456	2	0 −3π/8 −2.06217683 × 1011	ORG
ejpam-1372	1456	3	2.0621768337	CARDINAL
ejpam-1372	1456	4	1011	CARDINAL
ejpam-1372	1458	1	9	CARDINAL
ejpam-1372	1458	2	2.0621768337	CARDINAL
ejpam-1372	1459	1	3 −1 −π/2 −78.9451926611059	MONEY
ejpam-1372	1462	1	7 −1 −π/2	PERCENT
ejpam-1372	1465	1	2	CARDINAL
ejpam-1372	1465	2	3.9418113902568939	PRODUCT
ejpam-1372	1467	1	9	CARDINAL
ejpam-1372	1467	2	× 109	ORG
ejpam-1372	1468	1	−1	DATE
ejpam-1372	1468	2	−7π/9 0	GPE
ejpam-1372	1468	3	0.9878856428484654	CARDINAL
ejpam-1372	1469	1	2	CARDINAL
ejpam-1372	1469	2	−7π/9 −20053.774450535	GPE
ejpam-1372	1469	3	20054.762336178323	CARDINAL
ejpam-1372	1473	1	421	CARDINAL
ejpam-1372	1473	2	4	CARDINAL
ejpam-1372	1473	3	3/7	CARDINAL
ejpam-1372	1473	4	4/5	CARDINAL
ejpam-1372	1473	5	0	CARDINAL
ejpam-1372	1474	1	3	CARDINAL
ejpam-1372	1474	2	1.9456686191611794	MONEY
ejpam-1372	1475	1	0	CARDINAL
ejpam-1372	1476	1	5.1797052832766771	MONEY
ejpam-1372	1478	1	1.971898996789572	MONEY
ejpam-1372	1478	2	1.9718989967895723	ORG
ejpam-1372	1480	1	9	CARDINAL
ejpam-1372	1480	2	55.4745677273911721	CARDINAL
ejpam-1372	1484	1	15	CARDINAL
ejpam-1372	1484	2	284459.67049219113	CARDINAL
ejpam-1372	1484	3	1.971898996789572	MONEY
ejpam-1372	1485	1	1	CARDINAL
ejpam-1372	1485	2	2.116366897116478	ORG
ejpam-1372	1487	1	10	CARDINAL
ejpam-1372	1487	2	242.34928846604510	CARDINAL
ejpam-1372	1487	3	2.116366897116478	MONEY
ejpam-1372	1487	4	4 1 3π/7	QUANTITY
ejpam-1372	1488	1	8 1 3π/7 18.756954328980284	QUANTITY
ejpam-1372	1488	2	4.32892624192865	MONEY
ejpam-1372	1490	1	2 1 2π/3	QUANTITY
ejpam-1372	1491	1	−13.13350792717	PERSON
ejpam-1372	1491	2	17	CARDINAL
ejpam-1372	1491	3	8.436158292140	CARDINAL
ejpam-1372	1491	4	107	CARDINAL
ejpam-1372	1494	1	6 1	QUANTITY
ejpam-1372	1497	1	15	CARDINAL
ejpam-1372	1497	2	−655770.33200706	GPE
ejpam-1372	1499	1	422	CARDINAL
ejpam-1372	1499	2	5	CARDINAL
ejpam-1372	1499	3	3/7	CARDINAL
ejpam-1372	1499	4	2	CARDINAL
ejpam-1372	1500	1	1	CARDINAL
ejpam-1372	1500	2	2.06775117265602	MONEY
ejpam-1372	1502	1	6	CARDINAL
ejpam-1372	1502	2	−π/9	ORG
ejpam-1372	1502	3	0.9878856428484	MONEY
ejpam-1372	1504	1	2	CARDINAL
ejpam-1372	1507	1	5	CARDINAL
ejpam-1372	1510	1	0	CARDINAL
ejpam-1372	1513	1	5	CARDINAL
ejpam-1372	1518	1	4	CARDINAL
ejpam-1372	1518	2	668.230090087066	CARDINAL
ejpam-1372	1520	1	9 −1 −3π/8	QUANTITY
ejpam-1372	1520	2	2.0621768337	CARDINAL
ejpam-1372	1520	3	0.5152413446808	CARDINAL
ejpam-1372	1524	1	3 −1 −π/2 −78.9451926611059	MONEY
ejpam-1372	1525	1	−0.3846168094594 −7.0886116339207	PERSON
ejpam-1372	1528	1	7 −1 −π/2	PERCENT
ejpam-1372	1528	2	6.6381114370	CARDINAL
ejpam-1372	1528	3	107	CARDINAL
ejpam-1372	1532	1	2	CARDINAL
ejpam-1372	1532	2	3.941811390256893	CARDINAL
ejpam-1372	1534	1	9	CARDINAL
ejpam-1372	1534	2	1011	CARDINAL
ejpam-1372	1534	3	× 1011 −2.758872324138	ORG
ejpam-1372	1536	1	−1	DATE
ejpam-1372	1538	1	42.971031927081694	CARDINAL
ejpam-1372	1538	2	−2.592978854410	ORG
ejpam-1372	1543	1	423	CARDINAL
ejpam-1372	1543	2	6	CARDINAL
ejpam-1372	1543	3	3/7	CARDINAL
ejpam-1372	1543	4	2 exp(iπ/3	DATE
ejpam-1372	1544	1	0	CARDINAL
ejpam-1372	1545	1	1	CARDINAL
ejpam-1372	1547	1	2 9.15612336048101570	CARDINAL
ejpam-1372	1548	1	5 44835.6347777031703	CARDINAL
ejpam-1372	1549	1	10 1.38954464105	CARDINAL
ejpam-1372	1550	1	15	CARDINAL
ejpam-1372	1551	1	20	CARDINAL
ejpam-1372	1553	1	30	CARDINAL
ejpam-1372	1553	2	1.997889102631	CARDINAL
ejpam-1372	1553	3	1056	CARDINAL
ejpam-1372	1553	4	1056	CARDINAL