id	sid	eid	entity	type
ejpam-816	1	1	6_816_paris.dvi	CARDINAL
ejpam-816	1	2	european	NORP
ejpam-816	2	1	3	CARDINAL
ejpam-816	2	2	6, 2010	DATE
ejpam-816	2	3	1006-1031	DATE
ejpam-816	2	4	1307-5543	CARDINAL
ejpam-816	2	5	hari m. srivastava	PERSON
ejpam-816	2	6	70th	ORDINAL
ejpam-816	3	1	richard b.	PERSON
ejpam-816	3	2	dundee dd1 1hg	ORG
ejpam-816	3	3	uk	GPE
ejpam-816	5	1	wright	PERSON
ejpam-816	7	1	2000	CARDINAL
ejpam-816	7	2	30e15	CARDINAL
ejpam-816	7	3	33c70	PRODUCT
ejpam-816	7	4	41a60	DATE
ejpam-816	7	5	41a63	CARDINAL
ejpam-816	7	6	wright function	PERSON
ejpam-816	7	7	1	CARDINAL
ejpam-816	12	1	1	CARDINAL
ejpam-816	13	1	xνn−1 n	PERSON
ejpam-816	15	1	1	CARDINAL
ejpam-816	19	1	2	CARDINAL
ejpam-816	20	1	ν	NORP
ejpam-816	21	1	j ≤ n	LAW
ejpam-816	21	2	r.paris	PERSON
ejpam-816	23	1	2010	DATE
ejpam-816	24	1	r. paris	PERSON
ejpam-816	25	1	j. pure	PERSON
ejpam-816	25	2	3	CARDINAL
ejpam-816	25	3	2010	DATE
ejpam-816	25	4	1006-1031	DATE
ejpam-816	25	5	1007	DATE
ejpam-816	26	1	κ= 1−	TIME
ejpam-816	27	1	j µ j	PERSON
ejpam-816	27	2	3	CARDINAL
ejpam-816	27	3	1	CARDINAL
ejpam-816	28	1	newton	ORG
ejpam-816	29	1	two	CARDINAL
ejpam-816	29	2	2	CARDINAL
ejpam-816	29	3	newton	ORG
ejpam-816	29	4	m1, m2	PRODUCT
ejpam-816	29	5	0	DATE
ejpam-816	29	6	0,µ2	CARDINAL
ejpam-816	29	7	two	CARDINAL
ejpam-816	30	1	3	CARDINAL
ejpam-816	30	2	1 ≤ j ≤ n	QUANTITY
ejpam-816	33	1	mn	GPE
ejpam-816	33	2	newton	ORG
ejpam-816	34	1	n= 1	LAW
ejpam-816	34	2	1	CARDINAL
ejpam-816	36	1	κ= 1−(m/µ	DATE
ejpam-816	36	2	1	CARDINAL
ejpam-816	38	1	9	CARDINAL
ejpam-816	38	2	332	CARDINAL
ejpam-816	40	1	0≤	CARDINAL
ejpam-816	40	2	1	CARDINAL
ejpam-816	40	3	0	CARDINAL
ejpam-816	41	1	1	CARDINAL
ejpam-816	42	1	one	CARDINAL
ejpam-816	42	2	more than one	CARDINAL
ejpam-816	43	1	1	CARDINAL
ejpam-816	47	1	1	CARDINAL
ejpam-816	48	1	xνn−1 n	PERSON
ejpam-816	50	1	4	CARDINAL
ejpam-816	52	1	4	CARDINAL
ejpam-816	53	1	1	CARDINAL
ejpam-816	53	2	first	ORDINAL
ejpam-816	53	3	4	CARDINAL
ejpam-816	53	4	1	CARDINAL
ejpam-816	54	1	13	CARDINAL
ejpam-816	54	2	wright	PERSON
ejpam-816	54	3	function pψq(z	ORG
ejpam-816	54	4	5	CARDINAL
ejpam-816	55	1	1 2 πκ	QUANTITY
ejpam-816	56	1	n= 2	LAW
ejpam-816	56	2	8	CARDINAL
ejpam-816	56	3	r. paris	LOC
ejpam-816	57	1	j. pure	PERSON
ejpam-816	57	2	3	CARDINAL
ejpam-816	57	3	2010	DATE
ejpam-816	57	4	1006-1031 1008	DATE
ejpam-816	57	5	two	CARDINAL
ejpam-816	59	1	3	CARDINAL
ejpam-816	60	1	one	CARDINAL
ejpam-816	61	1	0	CARDINAL
ejpam-816	62	1	y(z	DATE
ejpam-816	67	1	1	CARDINAL
ejpam-816	68	1	νp−1	ORG
ejpam-816	72	1	sn	ORG
ejpam-816	73	1	1	CARDINAL
ejpam-816	73	2	j = n	PERSON
ejpam-816	73	3	j ≤ p	LAW
ejpam-816	74	1	two	CARDINAL
ejpam-816	74	2	2	CARDINAL
ejpam-816	74	3	first	ORDINAL
ejpam-816	74	4	18	CARDINAL
ejpam-816	74	5	16	CARDINAL
ejpam-816	75	1	14	CARDINAL
ejpam-816	76	1	130–133	CARDINAL
ejpam-816	77	1	3	CARDINAL
ejpam-816	77	2	y(z	DATE
ejpam-816	77	3	13	CARDINAL
ejpam-816	78	1	1	CARDINAL
ejpam-816	78	2	wright	PERSON
ejpam-816	79	1	11	CARDINAL
ejpam-816	79	2	6	CARDINAL
ejpam-816	80	1	4	CARDINAL
ejpam-816	81	1	2	CARDINAL
ejpam-816	81	2	function pψq(z	ORG
ejpam-816	81	3	wright	PERSON
ejpam-816	82	1	function pψq(z	ORG
ejpam-816	82	2	pψq(z) ≡	ORG
ejpam-816	86	1	g(k	PERSON
ejpam-816	88	1	5	CARDINAL
ejpam-816	89	1	6=	CARDINAL
ejpam-816	90	1	0,1,2	DATE
ejpam-816	91	1	1≤	CARDINAL
ejpam-816	91	2	6	CARDINAL
ejpam-816	91	3	5	CARDINAL
ejpam-816	92	1	1	CARDINAL
ejpam-816	92	2	bq	ORG
ejpam-816	93	1	17	CARDINAL
ejpam-816	93	2	40	CARDINAL
ejpam-816	94	1	r. paris	PERSON
ejpam-816	95	1	j. pure	PERSON
ejpam-816	95	2	3	CARDINAL
ejpam-816	95	3	2010	DATE
ejpam-816	95	4	1006-1031	DATE
ejpam-816	95	5	function pψq(z	ORG
ejpam-816	95	6	wright	PERSON
ejpam-816	96	1	20	CARDINAL
ejpam-816	98	1	2	CARDINAL
ejpam-816	98	2	12	CARDINAL
ejpam-816	98	3	2.3	CARDINAL
ejpam-816	99	1	11	CARDINAL
ejpam-816	100	1	first	ORDINAL
ejpam-816	100	2	∑ r=1 ar −	PERSON
ejpam-816	100	3	q−	DATE
ejpam-816	100	4	1−	TIME
ejpam-816	100	5	7	CARDINAL
ejpam-816	101	1	0	CARDINAL
ejpam-816	101	2	z.	PERSON
ejpam-816	103	1	0	CARDINAL
ejpam-816	103	2	1	CARDINAL
ejpam-816	103	3	h−1	ORG
ejpam-816	105	1	algebraic	PERSON
ejpam-816	105	2	q(z	PERSON
ejpam-816	105	3	q(z	PERSON
ejpam-816	105	4	zϑez ∞ ∑	PERSON
ejpam-816	106	1	g(s	EVENT
ejpam-816	106	2	9	CARDINAL
ejpam-816	107	1	2π	CARDINAL
ejpam-816	107	2	1 2	CARDINAL
ejpam-816	107	3	1 2 −ϑ	QUANTITY
ejpam-816	107	4	1 2	CARDINAL
ejpam-816	108	1	10	CARDINAL
ejpam-816	109	1	0	CARDINAL
ejpam-816	109	2	appendix a.	PERSON
ejpam-816	109	3	algebraic expansion hp,	ORG
ejpam-816	109	4	q(z	ORG
ejpam-816	110	1	12	CARDINAL
ejpam-816	110	2	2.3	CARDINAL
ejpam-816	110	3	1 2πi	CARDINAL
ejpam-816	111	1	11	CARDINAL
ejpam-816	111	2	0	CARDINAL
ejpam-816	112	1	11	CARDINAL
ejpam-816	112	2	γ(s	PRODUCT
ejpam-816	112	3	∗this	ORG
ejpam-816	112	4	6	CARDINAL
ejpam-816	113	1	r. paris	PERSON
ejpam-816	114	1	j. pure	PERSON
ejpam-816	114	2	3	CARDINAL
ejpam-816	114	3	2010	DATE
ejpam-816	114	4	1006-1031	DATE
ejpam-816	115	1	0,1,2	DATE
ejpam-816	117	1	12	CARDINAL
ejpam-816	118	1	11	CARDINAL
ejpam-816	118	2	11	CARDINAL
ejpam-816	119	1	12	CARDINAL
ejpam-816	120	1	j z−a j	PERSON
ejpam-816	120	2	q(z	ORG
ejpam-816	120	3	13	CARDINAL
ejpam-816	120	4	q(z	ORG
ejpam-816	120	5	q(z	ORG
ejpam-816	123	1	γ(ar	GPE
ejpam-816	124	1	γ(br	GPE
ejpam-816	125	1	14	CARDINAL
ejpam-816	126	1	1≤	ORDINAL
ejpam-816	126	2	j ≤ p	LAW
ejpam-816	127	1	13	CARDINAL
ejpam-816	128	1	1	CARDINAL
ejpam-816	128	2	4	CARDINAL
ejpam-816	128	3	1	CARDINAL
ejpam-816	129	1	2	CARDINAL
ejpam-816	129	2	20	DATE
ejpam-816	129	3	11	CARDINAL
ejpam-816	131	1	1	CARDINAL
ejpam-816	132	1	2	CARDINAL
ejpam-816	132	2	q(z	PERSON
ejpam-816	132	3	15	CARDINAL
ejpam-816	132	4	half	CARDINAL
ejpam-816	133	1	two	CARDINAL
ejpam-816	135	1	1 2 πκ	QUANTITY
ejpam-816	136	1	0	CARDINAL
ejpam-816	136	2	the algebraic r. paris / eur	ORG
ejpam-816	137	1	j. pure	PERSON
ejpam-816	137	2	3	CARDINAL
ejpam-816	137	3	2010	DATE
ejpam-816	137	4	1006-1031	DATE
ejpam-816	137	5	1011	CARDINAL
ejpam-816	139	1	2π	CARDINAL
ejpam-816	139	2	q(ze−2πi eπi	PERSON
ejpam-816	140	1	z ≤	MONEY
ejpam-816	142	1	16	CARDINAL
ejpam-816	143	1	2	CARDINAL
ejpam-816	143	2	331	CARDINAL
ejpam-816	143	3	20	CARDINAL
ejpam-816	144	1	2	CARDINAL
ejpam-816	145	1	2 3 ≤ κ≤ 2	QUANTITY
ejpam-816	145	2	pψq(z)∼ ep,q(z	PERSON
ejpam-816	146	1	17	CARDINAL
ejpam-816	146	2	→∞.	ORG
ejpam-816	146	3	2 3	CARDINAL
ejpam-816	146	4	q(z	PERSON
ejpam-816	147	1	3 2	CARDINAL
ejpam-816	147	2	πκ− ε hp,q(ze∓πi	ORG
ejpam-816	147	3	3 2	DATE
ejpam-816	147	4	z| ≤ π	ORG
ejpam-816	147	5	18	CARDINAL
ejpam-816	147	6	0	CARDINAL
ejpam-816	148	1	2 3 ≤	QUANTITY
ejpam-816	148	2	q(z	PERSON
ejpam-816	148	3	1 2 πκ	QUANTITY
ejpam-816	148	4	q(z	PERSON
ejpam-816	149	1	q(z	PERSON
ejpam-816	149	2	0 ≤	MONEY
ejpam-816	149	3	17	CARDINAL
ejpam-816	149	4	second	ORDINAL
ejpam-816	149	5	15	CARDINAL
ejpam-816	150	1	q(z	PERSON
ejpam-816	153	1	2 3	DATE
ejpam-816	153	2	q(z	PERSON
ejpam-816	153	3	1 2 πκ	QUANTITY
ejpam-816	153	4	3 2 πκ	QUANTITY
ejpam-816	153	5	3 2 πκ	QUANTITY
ejpam-816	154	1	q(z	PERSON
ejpam-816	155	1	q(z	PERSON
ejpam-816	156	1	1	CARDINAL
ejpam-816	156	2	17	CARDINAL
ejpam-816	156	3	18	CARDINAL
ejpam-816	156	4	q(z	PERSON
ejpam-816	157	1	19	CARDINAL
ejpam-816	157	2	appendix	NORP
ejpam-816	157	3	2ψ0(z	DATE
ejpam-816	157	4	10	CARDINAL
ejpam-816	158	1	15	CARDINAL
ejpam-816	158	2	18	CARDINAL
ejpam-816	158	3	19	CARDINAL
ejpam-816	158	4	19	CARDINAL
ejpam-816	160	1	r. paris	PERSON
ejpam-816	161	1	j. pure	PERSON
ejpam-816	161	2	3	CARDINAL
ejpam-816	161	3	2010	DATE
ejpam-816	161	4	1006-1031	DATE
ejpam-816	161	5	1012 3	DATE
ejpam-816	163	1	1	CARDINAL
ejpam-816	164	1	1	CARDINAL
ejpam-816	165	1	∞ ∑ k=0 zk	PERSON
ejpam-816	167	1	k−1	GPE
ejpam-816	169	1	20	CARDINAL
ejpam-816	169	2	5	CARDINAL
ejpam-816	169	3	wright	PERSON
ejpam-816	170	1	21	CARDINAL
ejpam-816	171	1	22	CARDINAL
ejpam-816	172	1	19	CARDINAL
ejpam-816	173	1	3	CARDINAL
ejpam-816	173	2	7	CARDINAL
ejpam-816	173	3	in(z)∼	PERSON
ejpam-816	174	1	πκ− ε hn,0(ze∓πi	ORG
ejpam-816	174	2	z| ≤ π	ORG
ejpam-816	174	3	23	CARDINAL
ejpam-816	174	4	en,0(z	DATE
ejpam-816	174	5	the algebraic expansion hn,0(ze∓πi	ORG
ejpam-816	174	6	13	CARDINAL
ejpam-816	174	7	14	CARDINAL
ejpam-816	174	8	0	CARDINAL
ejpam-816	174	9	0	CARDINAL
ejpam-816	175	1	en,0(z	DATE
ejpam-816	175	2	10	CARDINAL
ejpam-816	175	3	2π	CARDINAL
ejpam-816	175	4	1 2 −ϑ	QUANTITY
ejpam-816	175	5	1 2	DATE
ejpam-816	176	1	24	CARDINAL
ejpam-816	176	2	1 2 πκ	QUANTITY
ejpam-816	176	3	1 2 πκ	QUANTITY
ejpam-816	177	1	n= 3	LAW
ejpam-816	177	2	13	CARDINAL
ejpam-816	178	1	three	CARDINAL
ejpam-816	179	1	36	CARDINAL
ejpam-816	181	1	1 2	CARDINAL
ejpam-816	182	1	3	CARDINAL
ejpam-816	182	2	− z(x1 x2	PERSON
ejpam-816	182	3	1 2 x3	QUANTITY
ejpam-816	183	1	x3	GPE
ejpam-816	184	1	j. pure	PERSON
ejpam-816	184	2	3	CARDINAL
ejpam-816	184	3	2010	DATE
ejpam-816	184	4	1006-1031 1013	DATE
ejpam-816	184	5	3	CARDINAL
ejpam-816	184	6	4	CARDINAL
ejpam-816	184	7	1 2	CARDINAL
ejpam-816	184	8	m3	CARDINAL
ejpam-816	184	9	1	CARDINAL
ejpam-816	184	10	1	CARDINAL
ejpam-816	184	11	1 2	DATE
ejpam-816	184	12	3 2	DATE
ejpam-816	185	1	21	CARDINAL
ejpam-816	185	2	3ψ0	CARDINAL
ejpam-816	185	3	1 6	DATE
ejpam-816	185	4	1 4	DATE
ejpam-816	185	5	3ψ0(z	CARDINAL
ejpam-816	186	1	25	CARDINAL
ejpam-816	186	2	3	CARDINAL
ejpam-816	186	3	7	CARDINAL
ejpam-816	186	4	24	CARDINAL
ejpam-816	186	5	5 12	DATE
ejpam-816	187	1	4π3/235/851/8	CARDINAL
ejpam-816	189	1	5 48	DATE
ejpam-816	189	2	1 3 z3)4/5	QUANTITY
ejpam-816	189	3	26	CARDINAL
ejpam-816	189	4	first	ORDINAL
ejpam-816	189	5	67 144	DATE
ejpam-816	189	6	23785 41472	DATE
ejpam-816	189	7	106119923 89579520	DATE
ejpam-816	189	8	181613304677 51597803520	DATE
ejpam-816	189	9	c5	ORG
ejpam-816	189	10	102937183723339 7430083706880	DATE
ejpam-816	190	1	12	CARDINAL
ejpam-816	190	2	2+ 6k	DATE
ejpam-816	190	3	1+ 6k	CARDINAL
ejpam-816	190	4	3 2 + 4k	CARDINAL
ejpam-816	190	5	0,1,2	DATE
ejpam-816	192	1	13	CARDINAL
ejpam-816	192	2	14	CARDINAL
ejpam-816	193	1	3	CARDINAL
ejpam-816	193	2	j z−ν j	PERSON
ejpam-816	193	3	27	CARDINAL
ejpam-816	195	1	3 ∏ r=1	QUANTITY
ejpam-816	196	1	28	CARDINAL
ejpam-816	196	2	23	CARDINAL
ejpam-816	197	1	5 12	QUANTITY
ejpam-816	197	2	z| ≤ π	ORG
ejpam-816	197	3	29	CARDINAL
ejpam-816	197	4	5 24	CARDINAL
ejpam-816	198	1	5 12	CARDINAL
ejpam-816	198	2	5 24	CARDINAL
ejpam-816	198	3	|arg	NORP
ejpam-816	198	4	± 5 12	PERCENT
ejpam-816	199	1	1	CARDINAL
ejpam-816	199	2	15	CARDINAL
ejpam-816	199	3	29	CARDINAL
ejpam-816	200	1	r. paris	PERSON
ejpam-816	201	1	j. pure	PERSON
ejpam-816	201	2	3	CARDINAL
ejpam-816	201	3	2010	DATE
ejpam-816	201	4	1006-1031 1014	DATE
ejpam-816	201	5	1	CARDINAL
ejpam-816	201	6	25	CARDINAL
ejpam-816	201	7	15	CARDINAL
ejpam-816	201	8	29	CARDINAL
ejpam-816	202	1	θ/π |rel	ORG
ejpam-816	204	1	5.816× 10−13	DATE
ejpam-816	204	2	0.625	CARDINAL
ejpam-816	205	1	0.750	CARDINAL
ejpam-816	205	2	0.250	CARDINAL
ejpam-816	205	3	0.875	CARDINAL
ejpam-816	206	1	0.375	CARDINAL
ejpam-816	206	2	1.000	CARDINAL
ejpam-816	206	3	0.500	CARDINAL
ejpam-816	206	4	10−13 4	DATE
ejpam-816	211	1	1	CARDINAL
ejpam-816	212	1	xνn−1 n	PERSON
ejpam-816	215	1	∞ ∑ k=0 zk	PERSON
ejpam-816	216	1	k−1	GPE
ejpam-816	216	2	2	CARDINAL
ejpam-816	216	3	1 ≤ j ≤ n	QUANTITY
ejpam-816	218	1	e(x	ORG
ejpam-816	219	1	eπi x	PERSON
ejpam-816	219	2	1−	ORDINAL
ejpam-816	220	1	30	CARDINAL
ejpam-816	221	1	k−1	GPE
ejpam-816	223	1	k−1	GPE
ejpam-816	226	1	∑ k=0 zk k	PERSON
ejpam-816	229	1	31	CARDINAL
ejpam-816	229	2	4.1	CARDINAL
ejpam-816	230	1	∏n	CARDINAL
ejpam-816	230	2	31	CARDINAL
ejpam-816	230	3	1− z1)(1− z2	QUANTITY
ejpam-816	232	1	1− zn	LAW
ejpam-816	233	1	1− n ∑	TIME
ejpam-816	233	2	i=1 n ∑ j=i+1 ziz j r. paris	PERSON
ejpam-816	234	1	j. pure	PERSON
ejpam-816	234	2	3	CARDINAL
ejpam-816	234	3	2010	DATE
ejpam-816	234	4	1006-1031	DATE
ejpam-816	236	1	ziz jzk	PERSON
ejpam-816	238	1	−)nz1z2	ORG
ejpam-816	239	1	31	CARDINAL
ejpam-816	239	2	nψ0(ze(mi	GPE
ejpam-816	241	1	i=1 n ∑ j=i+1 e(νi	PERSON
ejpam-816	245	1	e(νi + ν	MONEY
ejpam-816	245	2	nψ0(ze(mi	GPE
ejpam-816	250	1	−)ne(n	NORP
ejpam-816	250	2	32	CARDINAL
ejpam-816	253	1	33	CARDINAL
ejpam-816	253	2	22	CARDINAL
ejpam-816	254	1	19	CARDINAL
ejpam-816	254	2	23	CARDINAL
ejpam-816	254	3	ω	ORG
ejpam-816	255	1	2π	CARDINAL
ejpam-816	256	1	section 5	LAW
ejpam-816	256	2	4.2	CARDINAL
ejpam-816	257	1	32	CARDINAL
ejpam-816	258	1	z ≤	MONEY
ejpam-816	258	2	2−m)π−	CARDINAL
ejpam-816	258	3	34	CARDINAL
ejpam-816	258	4	33	CARDINAL
ejpam-816	259	1	12	CARDINAL
ejpam-816	259	2	appendix c.	PERSON
ejpam-816	259	3	22	CARDINAL
ejpam-816	259	4	13	CARDINAL
ejpam-816	259	5	14	CARDINAL
ejpam-816	259	6	16	CARDINAL
ejpam-816	260	1	j m j h j(z	PERSON
ejpam-816	260	2	j(z	GPE
ejpam-816	260	3	1≤	ORDINAL
ejpam-816	260	4	j ≤ n	LAW
ejpam-816	260	5	35	CARDINAL
ejpam-816	261	1	j. pure	PERSON
ejpam-816	261	2	3	CARDINAL
ejpam-816	261	3	2010	DATE
ejpam-816	261	4	1006-1031	DATE
ejpam-816	261	5	1016	CARDINAL
ejpam-816	263	1	j k/m	PERSON
ejpam-816	264	1	32	CARDINAL
ejpam-816	264	2	34	CARDINAL
ejpam-816	264	3	j m	PERSON
ejpam-816	264	4	j n ∑ k=0	PERSON
ejpam-816	264	5	j(z	GPE
ejpam-816	264	6	36	CARDINAL
ejpam-816	264	7	j(z	GPE
ejpam-816	265	1	j(z	GPE
ejpam-816	265	2	j(z	GPE
ejpam-816	266	1	j1=1	GPE
ejpam-816	267	1	j(z	GPE
ejpam-816	268	1	+1 e(ν	DATE
ejpam-816	269	1	j(ze(m	GPE
ejpam-816	269	2	j2	ORG
ejpam-816	269	3	t3	ORG
ejpam-816	269	4	j(z	GPE
ejpam-816	270	1	∑ j1=1	PERSON
ejpam-816	270	2	+1 n ∑ j3= j2	WORK_OF_ART
ejpam-816	270	3	+1 e(ν	DATE
ejpam-816	271	1	j(ze(m	GPE
ejpam-816	271	2	j2 +m	ORG
ejpam-816	271	3	j3	DATE
ejpam-816	273	1	1≤ k ≤ n−	ORG
ejpam-816	273	2	1	CARDINAL
ejpam-816	273	3	j(z	PERSON
ejpam-816	273	4	∑ j1=1 n−k+2	PERSON
ejpam-816	273	5	∑ j2= j1	PERSON
ejpam-816	273	6	+1	DATE
ejpam-816	274	1	+1 e(ν	DATE
ejpam-816	275	1	ν	NORP
ejpam-816	276	1	.+m	PERSON
ejpam-816	277	1	j(z	GPE
ejpam-816	278	1	37	CARDINAL
ejpam-816	278	2	one	CARDINAL
ejpam-816	278	3	j = 1	PERSON
ejpam-816	279	1	the µ j (1≤	GPE
ejpam-816	279	2	j ≤ n	LAW
ejpam-816	279	3	35	CARDINAL
ejpam-816	282	1	j(z	GPE
ejpam-816	283	1	38	CARDINAL
ejpam-816	283	2	1	CARDINAL
ejpam-816	283	3	j(z	GPE
ejpam-816	283	4	38	CARDINAL
ejpam-816	284	1	j1=2 e(ν j1	PERSON
ejpam-816	285	1	+1 e(ν	DATE
ejpam-816	286	1	j2	ORG
ejpam-816	287	1	∑ j2=2 n ∑ j3= j2	WORK_OF_ART
ejpam-816	287	2	+1 e(ν	DATE
ejpam-816	287	3	j3	DATE
ejpam-816	288	1	r. paris	PERSON
ejpam-816	289	1	j. pure	PERSON
ejpam-816	289	2	3	CARDINAL
ejpam-816	289	3	2010	DATE
ejpam-816	289	4	1006-1031	DATE
ejpam-816	289	5	+1 n ∑ j3= j2	WORK_OF_ART
ejpam-816	289	6	+1 e(ν	DATE
ejpam-816	291	1	j2 +m	ORG
ejpam-816	291	2	j3	DATE
ejpam-816	293	1	36	CARDINAL
ejpam-816	293	2	1	CARDINAL
ejpam-816	293	3	∑ k=0	PERSON
ejpam-816	293	4	2	CARDINAL
ejpam-816	293	5	+1	DATE
ejpam-816	294	1	jn−1	ORG
ejpam-816	294	2	+1 e(ν	DATE
ejpam-816	296	1	ν jn	PERSON
ejpam-816	298	1	−)n−1e(ν2 +	DATE
ejpam-816	302	1	38	CARDINAL
ejpam-816	303	1	∑n k=1(−	ORG
ejpam-816	304	1	j ≤ n	FAC
ejpam-816	305	1	0	CARDINAL
ejpam-816	306	1	1≤	ORDINAL
ejpam-816	306	2	j ≤ n	LAW
ejpam-816	306	3	39	CARDINAL
ejpam-816	306	4	34	CARDINAL
ejpam-816	308	1	4.3	CARDINAL
ejpam-816	309	1	kn	PERSON
ejpam-816	310	1	kn	PERSON
ejpam-816	316	1	1	CARDINAL
ejpam-816	317	1	xνn−1 n	PERSON
ejpam-816	320	1	40	CARDINAL
ejpam-816	320	2	1 ≤	QUANTITY
ejpam-816	320	3	0	CARDINAL
ejpam-816	321	1	section 4	LAW
ejpam-816	321	2	kn	PERSON
ejpam-816	322	1	∑ k=0 zk	PERSON
ejpam-816	325	1	41	CARDINAL
ejpam-816	327	1	∏p r=1	ORG
ejpam-816	327	2	kn	PERSON
ejpam-816	327	3	22	CARDINAL
ejpam-816	327	4	32	CARDINAL
ejpam-816	328	1	19	CARDINAL
ejpam-816	328	2	kn	PERSON
ejpam-816	328	3	kn	PERSON
ejpam-816	328	4	section 5	DATE
ejpam-816	328	5	r. paris	PERSON
ejpam-816	329	1	j. pure	PERSON
ejpam-816	329	2	3	CARDINAL
ejpam-816	329	3	2010	DATE
ejpam-816	329	4	1006-1031	DATE
ejpam-816	329	5	1018 5	DATE
ejpam-816	329	6	19	CARDINAL
ejpam-816	329	7	kn	PERSON
ejpam-816	329	8	4	CARDINAL
ejpam-816	329	9	40	CARDINAL
ejpam-816	330	1	5.1	CARDINAL
ejpam-816	330	2	1	CARDINAL
ejpam-816	330	3	two	CARDINAL
ejpam-816	331	1	∫ ∞ −∞	ORG
ejpam-816	332	1	1	CARDINAL
ejpam-816	332	2	2 exp{−x	CARDINAL
ejpam-816	332	3	1	CARDINAL
ejpam-816	334	1	1 x m2	QUANTITY
ejpam-816	334	2	42	CARDINAL
ejpam-816	335	1	32	CARDINAL
ejpam-816	335	2	21	CARDINAL
ejpam-816	335	3	2ψ0(z	DATE
ejpam-816	335	4	2ψ0(z)≡	CARDINAL
ejpam-816	336	1	32	CARDINAL
ejpam-816	336	2	2ψ0(z)−	CARDINAL
ejpam-816	336	3	2ψ0(zeπim	CARDINAL
ejpam-816	336	4	2ψ0(ze2πim	CARDINAL
ejpam-816	336	5	43	CARDINAL
ejpam-816	337	1	44	CARDINAL
ejpam-816	337	2	half	CARDINAL
ejpam-816	337	3	ω−π	DATE
ejpam-816	337	4	ω	CARDINAL
ejpam-816	338	1	2π	CARDINAL
ejpam-816	338	2	ω	ORDINAL
ejpam-816	339	1	2ψ0(zeiω+πim	CARDINAL
ejpam-816	340	1	2ψ0(zeiω	CARDINAL
ejpam-816	341	1	2ψ0(ze−iω)−	TIME
ejpam-816	341	2	2ψ0(ze−πi	CARDINAL
ejpam-816	342	1	2ψ0(zeiω−2πi	ORG
ejpam-816	343	1	45	CARDINAL
ejpam-816	346	1	1	CARDINAL
ejpam-816	347	1	4	CARDINAL
ejpam-816	347	2	0	CARDINAL
ejpam-816	349	1	1(a	CARDINAL
ejpam-816	349	2	1 4	DATE
ejpam-816	349	3	7 8	DATE
ejpam-816	349	4	3 4	DATE
ejpam-816	349	5	34	CARDINAL
ejpam-816	350	1	45	CARDINAL
ejpam-816	350	2	ω	CARDINAL
ejpam-816	351	1	1 2	CARDINAL
ejpam-816	352	1	r. paris	PERSON
ejpam-816	353	1	j. pure	PERSON
ejpam-816	353	2	3	CARDINAL
ejpam-816	353	3	2010	DATE
ejpam-816	353	4	1006-1031	DATE
ejpam-816	353	5	1019	CARDINAL
ejpam-816	353	6	0	CARDINAL
ejpam-816	353	7	3 2	CARDINAL
ejpam-816	354	1	three	CARDINAL
ejpam-816	354	2	7 16	CARDINAL
ejpam-816	354	3	0,1,2	CARDINAL
ejpam-816	354	4	7 16	DATE
ejpam-816	354	5	17 16	CARDINAL
ejpam-816	355	1	one	CARDINAL
ejpam-816	355	2	two	CARDINAL
ejpam-816	355	3	three	CARDINAL
ejpam-816	358	1	1(b	CARDINAL
ejpam-816	358	2	1 2	CARDINAL
ejpam-816	358	3	3 4	DATE
ejpam-816	358	4	half	CARDINAL
ejpam-816	359	1	three	CARDINAL
ejpam-816	359	2	3 8	CARDINAL
ejpam-816	359	3	0,1,2	CARDINAL
ejpam-816	359	4	one	CARDINAL
ejpam-816	359	5	two	CARDINAL
ejpam-816	359	6	3 8	DATE
ejpam-816	359	7	5 8	CARDINAL
ejpam-816	360	1	fig	GPE
ejpam-816	361	1	1(c	CARDINAL
ejpam-816	361	2	3 4	DATE
ejpam-816	361	3	5 8	DATE
ejpam-816	361	4	1 4	DATE
ejpam-816	361	5	4	CARDINAL
ejpam-816	361	6	0	CARDINAL
ejpam-816	361	7	1 2	CARDINAL
ejpam-816	362	1	5 16	CARDINAL
ejpam-816	362	2	3 16	CARDINAL
ejpam-816	362	3	5 16	CARDINAL
ejpam-816	362	4	13 16	CARDINAL
ejpam-816	362	5	15 16	CARDINAL
ejpam-816	362	6	7 16	DATE
ejpam-816	362	7	5 16	CARDINAL
ejpam-816	362	8	algebraic	PERSON
ejpam-816	364	1	1	CARDINAL
ejpam-816	364	2	1 2	CARDINAL
ejpam-816	364	3	34	CARDINAL
ejpam-816	365	1	two	CARDINAL
ejpam-816	365	2	|arg(zeπir	PERSON
ejpam-816	366	1	1 4	DATE
ejpam-816	366	2	3 4	CARDINAL
ejpam-816	366	3	4	CARDINAL
ejpam-816	366	4	4	CARDINAL
ejpam-816	366	5	algebraic	PERSON
ejpam-816	367	1	one	CARDINAL
ejpam-816	368	1	42	CARDINAL
ejpam-816	368	2	4	CARDINAL
ejpam-816	369	1	first	ORDINAL
ejpam-816	369	2	3 4	DATE
ejpam-816	369	3	2ψ0(z)−	CARDINAL
ejpam-816	369	4	2ψ0(ze	CARDINAL
ejpam-816	369	5	2ψ0(ze∓πi	CARDINAL
ejpam-816	369	6	46	CARDINAL
ejpam-816	369	7	0	CARDINAL
ejpam-816	370	1	19	CARDINAL
ejpam-816	370	2	q(z	PERSON
ejpam-816	370	3	e2,0(ze 1 2	DATE
ejpam-816	370	4	0,1,2	CARDINAL
ejpam-816	370	5	4	CARDINAL
ejpam-816	370	6	4 π	DATE
ejpam-816	371	1	1(b	CARDINAL
ejpam-816	372	1	half	CARDINAL
ejpam-816	372	2	34	CARDINAL
ejpam-816	372	3	46	DATE
ejpam-816	373	1	1 4	DATE
ejpam-816	373	2	1 2	CARDINAL
ejpam-816	373	3	e2,0(ze 1 2	DATE
ejpam-816	373	4	1 4	CARDINAL
ejpam-816	373	5	e2,0(ze 1 2	DATE
ejpam-816	373	6	2	CARDINAL
ejpam-816	373	7	4	CARDINAL
ejpam-816	374	1	3 8	DATE
ejpam-816	374	2	1 4	DATE
ejpam-816	374	3	1	CARDINAL
ejpam-816	375	1	24	CARDINAL
ejpam-816	375	2	appendix a.	PERSON
ejpam-816	375	3	3 8	DATE
ejpam-816	375	4	5 8	CARDINAL
ejpam-816	376	1	half	CARDINAL
ejpam-816	377	1	45	CARDINAL
ejpam-816	378	1	second	ORDINAL
ejpam-816	378	2	3 4	DATE
ejpam-816	378	3	5 8	DATE
ejpam-816	378	4	1 2	DATE
ejpam-816	378	5	3 2	DATE
ejpam-816	378	6	44	DATE
ejpam-816	378	7	r. paris	ORG
ejpam-816	379	1	j. pure	PERSON
ejpam-816	379	2	3	CARDINAL
ejpam-816	379	3	2010	DATE
ejpam-816	379	4	1006-1031	DATE
ejpam-816	381	1	5π/16	DATE
ejpam-816	381	2	1	CARDINAL
ejpam-816	381	3	1 4	DATE
ejpam-816	381	4	1 2	CARDINAL
ejpam-816	381	5	3 4	DATE
ejpam-816	381	6	1	CARDINAL
ejpam-816	385	1	0	CARDINAL
ejpam-816	385	2	1	CARDINAL
ejpam-816	387	1	2ψ0(z	CARDINAL
ejpam-816	389	1	47	CARDINAL
ejpam-816	389	2	0	CARDINAL
ejpam-816	389	3	1 2	CARDINAL
ejpam-816	391	1	2(a	CARDINAL
ejpam-816	391	2	5 16	DATE
ejpam-816	391	3	13 16	CARDINAL
ejpam-816	391	4	5 64	DATE
ejpam-816	391	5	63/5z8/5	CARDINAL
ejpam-816	391	6	2	MONEY
ejpam-816	392	1	13 16	DATE
ejpam-816	392	2	9 8	CARDINAL
ejpam-816	392	3	8	MONEY
ejpam-816	392	4	5 16	CARDINAL
ejpam-816	393	1	8	CARDINAL
ejpam-816	393	2	9 8	DATE
ejpam-816	393	3	1 8	CARDINAL
ejpam-816	394	1	r. paris	PERSON
ejpam-816	395	1	j. pure	PERSON
ejpam-816	395	2	3	CARDINAL
ejpam-816	395	3	2010	DATE
ejpam-816	395	4	1006-1031	DATE
ejpam-816	395	5	1021	CARDINAL
ejpam-816	395	6	12	CARDINAL
ejpam-816	395	7	13	CARDINAL
ejpam-816	395	8	2 3 + 16 3	DATE
ejpam-816	395	9	2+ 16 3	DATE
ejpam-816	395	10	0,1,2	DATE
ejpam-816	398	1	16	CARDINAL
ejpam-816	398	2	∞ ∑ k=0	PERSON
ejpam-816	399	1	3 8	DATE
ejpam-816	399	2	1 8	DATE
ejpam-816	400	1	1 2	CARDINAL
ejpam-816	400	2	2ψ0(z	CARDINAL
ejpam-816	400	3	2ψ0(ze−πi/2	DATE
ejpam-816	400	4	15	CARDINAL
ejpam-816	400	5	16	CARDINAL
ejpam-816	401	1	0	CARDINAL
ejpam-816	401	2	0	CARDINAL
ejpam-816	401	3	1 2	CARDINAL
ejpam-816	401	4	3 2	CARDINAL
ejpam-816	401	5	1 2	CARDINAL
ejpam-816	401	6	2π	CARDINAL
ejpam-816	401	7	0	CARDINAL
ejpam-816	401	8	1 2	CARDINAL
ejpam-816	401	9	34	CARDINAL
ejpam-816	402	1	47	CARDINAL
ejpam-816	403	1	1 2	CARDINAL
ejpam-816	403	2	0	CARDINAL
ejpam-816	403	3	1 2	CARDINAL
ejpam-816	404	1	1 2	CARDINAL
ejpam-816	404	2	1 2	CARDINAL
ejpam-816	404	3	5 8	CARDINAL
ejpam-816	404	4	1 2	CARDINAL
ejpam-816	404	5	5 8	DATE
ejpam-816	404	6	9 8	CARDINAL
ejpam-816	404	7	9 8	DATE
ejpam-816	404	8	5 4	CARDINAL
ejpam-816	404	9	45	CARDINAL
ejpam-816	405	1	5π/16	CARDINAL
ejpam-816	406	1	−5π/24	ORG
ejpam-816	406	2	19π/24	DATE
ejpam-816	406	3	2	CARDINAL
ejpam-816	406	4	3 4	DATE
ejpam-816	407	1	3	CARDINAL
ejpam-816	407	2	1 2	CARDINAL
ejpam-816	407	3	m3	CARDINAL
ejpam-816	407	4	1	CARDINAL
ejpam-816	411	1	r. paris	ORG
ejpam-816	412	1	j. pure	PERSON
ejpam-816	412	2	3	CARDINAL
ejpam-816	412	3	2010	DATE
ejpam-816	412	4	1006-1031 1022	DATE
ejpam-816	412	5	1	CARDINAL
ejpam-816	412	6	1 2	CARDINAL
ejpam-816	412	7	1 4	DATE
ejpam-816	412	8	2eπi/4	CARDINAL
ejpam-816	412	9	2ψ0(z)−	CARDINAL
ejpam-816	412	10	2e	CARDINAL
ejpam-816	412	11	2ψ0(ze−πi	CARDINAL
ejpam-816	412	12	48	CARDINAL
ejpam-816	412	13	second	ORDINAL
ejpam-816	412	14	ze−πi	ORG
ejpam-816	414	1	1 8	DATE
ejpam-816	414	2	8	MONEY
ejpam-816	415	1	12	CARDINAL
ejpam-816	415	2	4k+ 1 4	DATE
ejpam-816	415	3	0,1,2	DATE
ejpam-816	416	1	60	CARDINAL
ejpam-816	417	1	∞ ∑ k=0	PERSON
ejpam-816	417	2	1 4	CARDINAL
ejpam-816	417	3	1 2	CARDINAL
ejpam-816	417	4	z}z−4k− 1 4	ORG
ejpam-816	418	1	34	CARDINAL
ejpam-816	418	2	1	CARDINAL
ejpam-816	418	3	48	DATE
ejpam-816	418	4	j2(z	PERSON
ejpam-816	418	5	1+	DATE
ejpam-816	419	1	2e 1 4	DATE
ejpam-816	419	2	0	CARDINAL
ejpam-816	419	3	1 2	CARDINAL
ejpam-816	419	4	1+	CARDINAL
ejpam-816	419	5	2e 1 4	DATE
ejpam-816	420	1	1 2	CARDINAL
ejpam-816	420	2	half	CARDINAL
ejpam-816	420	3	45	CARDINAL
ejpam-816	421	1	0	CARDINAL
ejpam-816	421	2	2	CARDINAL
ejpam-816	422	1	1	CARDINAL
ejpam-816	422	2	46	DATE
ejpam-816	422	3	47	CARDINAL
ejpam-816	422	4	48	CARDINAL
ejpam-816	422	5	z.	PERSON
ejpam-816	422	6	wright	PERSON
ejpam-816	422	7	42	CARDINAL
ejpam-816	423	1	three	CARDINAL
ejpam-816	424	1	5.2	CARDINAL
ejpam-816	424	2	2	CARDINAL
ejpam-816	424	3	kn	PERSON
ejpam-816	424	4	40	CARDINAL
ejpam-816	424	5	n= 3	ORG
ejpam-816	424	6	1	CARDINAL
ejpam-816	424	7	36	CARDINAL
ejpam-816	425	1	1 2	CARDINAL
ejpam-816	426	1	3	CARDINAL
ejpam-816	426	2	− z(x1 x2	PERSON
ejpam-816	426	3	1 2 x3	QUANTITY
ejpam-816	427	1	3	CARDINAL
ejpam-816	427	2	4	CARDINAL
ejpam-816	427	3	1 2	CARDINAL
ejpam-816	427	4	m3	CARDINAL
ejpam-816	427	5	1	CARDINAL
ejpam-816	427	6	1	CARDINAL
ejpam-816	427	7	1 2	DATE
ejpam-816	427	8	3 2	DATE
ejpam-816	428	1	41	CARDINAL
ejpam-816	429	1	∑ k=0 zk	PERSON
ejpam-816	430	1	3 ∏ r=1	QUANTITY
ejpam-816	432	1	r. paris	PERSON
ejpam-816	433	1	j. pure	PERSON
ejpam-816	433	2	3	CARDINAL
ejpam-816	433	3	2010	DATE
ejpam-816	433	4	1006-1031	DATE
ejpam-816	433	5	1023	CARDINAL
ejpam-816	433	6	2	CARDINAL
ejpam-816	434	1	1 2	CARDINAL
ejpam-816	434	2	1 2	DATE
ejpam-816	434	3	1 2	DATE
ejpam-816	434	4	3 2	CARDINAL
ejpam-816	434	5	1	CARDINAL
ejpam-816	434	6	1 4	DATE
ejpam-816	434	7	20	CARDINAL
ejpam-816	434	8	20	CARDINAL
ejpam-816	434	9	15	CARDINAL
ejpam-816	434	10	θ/π |rel	ORG
ejpam-816	434	11	0	CARDINAL
ejpam-816	437	1	4.869×	CARDINAL
ejpam-816	437	2	0.375	CARDINAL
ejpam-816	437	3	2.528×	ORG
ejpam-816	438	1	10−13 0.125 9.220× 10−12	DATE
ejpam-816	438	2	0.250	CARDINAL
ejpam-816	438	3	0.250	CARDINAL
ejpam-816	439	1	0.375 3.939×	DATE
ejpam-816	439	2	0.625	CARDINAL
ejpam-816	439	3	2.528×	ORG
ejpam-816	440	1	0.375	CARDINAL
ejpam-816	440	2	0.500	CARDINAL
ejpam-816	440	3	1.756×	CARDINAL
ejpam-816	440	4	0.500 5.061×	PERCENT
ejpam-816	441	1	3.326×	CARDINAL
ejpam-816	441	2	0.875 7.550×	CARDINAL
ejpam-816	441	3	0.625	CARDINAL
ejpam-816	441	4	3.684×	CARDINAL
ejpam-816	441	5	0.750	CARDINAL
ejpam-816	441	6	3.326× 10−10	DATE
ejpam-816	441	7	1.125	CARDINAL
ejpam-816	441	8	9.220× 10−12	DATE
ejpam-816	441	9	2.172×	CARDINAL
ejpam-816	441	10	10−10	CARDINAL
ejpam-816	441	11	1.250	CARDINAL
ejpam-816	441	12	1.000 4.869×	CARDINAL
ejpam-816	441	13	3ψ0(z	CARDINAL
ejpam-816	442	1	3ψ0(ze∓πi	DATE
ejpam-816	442	2	3ψ0(z	CARDINAL
ejpam-816	442	3	25	CARDINAL
ejpam-816	445	1	5 12	DATE
ejpam-816	446	1	two	CARDINAL
ejpam-816	446	2	four	CARDINAL
ejpam-816	446	3	two	CARDINAL
ejpam-816	446	4	1 6	CARDINAL
ejpam-816	447	1	3ψ0(z	CARDINAL
ejpam-816	447	2	29	CARDINAL
ejpam-816	448	1	0	CARDINAL
ejpam-816	448	2	5 12	CARDINAL
ejpam-816	448	3	5 12	CARDINAL
ejpam-816	448	4	1 2	CARDINAL
ejpam-816	448	5	0	DATE
ejpam-816	448	6	2	MONEY
ejpam-816	448	7	5 12	CARDINAL
ejpam-816	448	8	26	CARDINAL
ejpam-816	448	9	27	CARDINAL
ejpam-816	448	10	28	CARDINAL
ejpam-816	450	1	6	CARDINAL
ejpam-816	450	2	1	CARDINAL
ejpam-816	450	3	4	CARDINAL
ejpam-816	450	4	40	CARDINAL
ejpam-816	450	5	wright	PERSON
ejpam-816	453	1	en,0(z	WORK_OF_ART
ejpam-816	453	2	1024	CARDINAL
ejpam-816	455	1	hn,0(z	PERSON
ejpam-816	456	1	2	CARDINAL
ejpam-816	456	2	newton	ORG
ejpam-816	457	1	2	CARDINAL
ejpam-816	459	1	lond	PERSON
ejpam-816	462	1	35:83–100, 1935	DATE
ejpam-816	463	1	2	CARDINAL
ejpam-816	463	2	j braaksma	PERSON
ejpam-816	465	1	15:239–341, 1963	DATE
ejpam-816	465	2	3	CARDINAL
ejpam-816	465	3	j. comp	PERSON
ejpam-816	467	1	171:103–112, 2004	DATE
ejpam-816	468	1	4	CARDINAL
ejpam-816	468	2	sur une méthode de calcul	ORG
ejpam-816	468	3	de certaines intégrales	ORG
ejpam-816	468	4	dite méthode de col	PERSON
ejpam-816	468	5	ann	PERSON
ejpam-816	468	6	sci	ORG
ejpam-816	470	1	33:17–69, 1916	DATE
ejpam-816	471	1	5	CARDINAL
ejpam-816	471	2	burwell	ORG
ejpam-816	472	1	lond	PERSON
ejpam-816	475	1	53:599–611, 1924	DATE
ejpam-816	476	1	6	CARDINAL
ejpam-816	476	2	y luchko	PERSON
ejpam-816	476	3	wright	PERSON
ejpam-816	476	4	frac	PERSON
ejpam-816	480	1	2:383–414, 1998	DATE
ejpam-816	481	1	7	CARDINAL
ejpam-816	481	2	paris	GPE
ejpam-816	481	3	mellin-barnes integrals: application	ORG
ejpam-816	483	1	4:311–325, 1997	DATE
ejpam-816	484	1	8	CARDINAL
ejpam-816	484	2	paris	GPE
ejpam-816	484	3	j. comp	PERSON
ejpam-816	486	1	132:409–429, 2001	DATE
ejpam-816	487	1	9	CARDINAL
ejpam-816	487	2	new york	GPE
ejpam-816	487	3	1974	DATE
ejpam-816	488	1	1997	DATE
ejpam-816	489	1	10	CARDINAL
ejpam-816	489	2	paris	GPE
ejpam-816	490	1	roy	PERSON
ejpam-816	491	1	london	GPE
ejpam-816	491	2	436:165–186, 1992	DATE
ejpam-816	492	1	11	CARDINAL
ejpam-816	492	2	paris	GPE
ejpam-816	492	3	j. comp	PERSON
ejpam-816	494	1	2010	DATE
ejpam-816	495	1	12	CARDINAL
ejpam-816	495	2	paris	GPE
ejpam-816	495	3	kaminski	PERSON
ejpam-816	495	4	mellin-barnes integrals	ORG
ejpam-816	495	5	cambridge university press	ORG
ejpam-816	495	6	cambridge	GPE
ejpam-816	495	7	2001	DATE
ejpam-816	496	1	13	CARDINAL
ejpam-816	496	2	paris	GPE
ejpam-816	496	3	frac	PERSON
ejpam-816	499	1	3:63–73, 2000	DATE
ejpam-816	500	1	1025	CARDINAL
ejpam-816	500	2	14	CARDINAL
ejpam-816	500	3	paris	GPE
ejpam-816	500	4	129	CARDINAL
ejpam-816	500	5	longman	ORG
ejpam-816	500	6	1986	DATE
ejpam-816	501	1	15	CARDINAL
ejpam-816	502	1	amer	PERSON
ejpam-816	504	1	7:245–249, 1956	DATE
ejpam-816	505	1	16	CARDINAL
ejpam-816	505	2	r saxton	PERSON
ejpam-816	505	3	msc dissertation	PERSON
ejpam-816	505	4	cranfield institute of technology	ORG
ejpam-816	505	5	1978	DATE
ejpam-816	506	1	17	CARDINAL
ejpam-816	506	2	cambridge university press	ORG
ejpam-816	506	3	cambridge	GPE
ejpam-816	506	4	1966	DATE
ejpam-816	507	1	18	CARDINAL
ejpam-816	507	2	der linearen differentialgleichung y(n	PERSON
ejpam-816	508	1	ax2 y ′′	PERSON
ejpam-816	510	1	n eine ganze	ORG
ejpam-816	510	2	zahl und	PERSON
ejpam-816	510	3	bezeichnen	ORG
ejpam-816	510	4	mittelst bestimmter integrale	ORG
ejpam-816	511	1	ann	PERSON
ejpam-816	512	1	3:453–455, 1871	DATE
ejpam-816	513	1	19	CARDINAL
ejpam-816	513	2	wiley	ORG
ejpam-816	513	3	new york	GPE
ejpam-816	513	4	1996	DATE
ejpam-816	514	1	20	CARDINAL
ejpam-816	514	2	wright	PERSON
ejpam-816	515	1	lond	PERSON
ejpam-816	518	1	2	CARDINAL
ejpam-816	518	2	10:286–293, 1935	DATE
ejpam-816	519	1	21	CARDINAL
ejpam-816	519	2	wright	PERSON
ejpam-816	520	1	lond	PERSON
ejpam-816	523	1	2	CARDINAL
ejpam-816	523	2	46:389–408, 1940	DATE
ejpam-816	524	1	22	CARDINAL
ejpam-816	524	2	wright	PERSON
ejpam-816	525	1	glasgow	PERSON
ejpam-816	526	1	assoc	ORG
ejpam-816	527	1	4:38–41, 1958	DATE
ejpam-816	528	1	appendix a.	PERSON
ejpam-816	529	1	q(z	PERSON
ejpam-816	529	2	1	CARDINAL
ejpam-816	529	3	15	CARDINAL
ejpam-816	530	1	22	CARDINAL
ejpam-816	532	1	0	CARDINAL
ejpam-816	532	2	12	CARDINAL
ejpam-816	534	1	9	CARDINAL
ejpam-816	534	2	κ)s �	TIME
ejpam-816	535	1	m−1 ∑	PERSON
ejpam-816	535	2	κs+	NORP
ejpam-816	535	3	49	CARDINAL
ejpam-816	535	4	g(s	ORG
ejpam-816	535	5	5	CARDINAL
ejpam-816	537	1	γ∗(z	GPE
ejpam-816	537	2	γ∗(z	GPE
ejpam-816	537	3	γ(z)(2π)− 1 2	DATE
ejpam-816	537	4	1 2	CARDINAL
ejpam-816	537	5	1026	CARDINAL
ejpam-816	537	6	1 2	CARDINAL
ejpam-816	537	7	e(αs	ORG
ejpam-816	537	8	1 2	CARDINAL
ejpam-816	538	1	49	CARDINAL
ejpam-816	538	2	1	CARDINAL
ejpam-816	538	3	50	CARDINAL
ejpam-816	538	4	γ ∗(αrs+ ar	ORG
ejpam-816	539	1	1	CARDINAL
ejpam-816	539	2	∏p r=1 e(αrs	PERSON
ejpam-816	540	1	1	CARDINAL
ejpam-816	541	1	50	CARDINAL
ejpam-816	541	2	49	CARDINAL
ejpam-816	542	1	m−1 ∑	PERSON
ejpam-816	542	2	κs+	NORP
ejpam-816	542	3	51	CARDINAL
ejpam-816	542	4	κs)−1	ORG
ejpam-816	542	5	0	CARDINAL
ejpam-816	543	1	19	CARDINAL
ejpam-816	543	2	71	CARDINAL
ejpam-816	543	3	12	CARDINAL
ejpam-816	543	4	32	CARDINAL
ejpam-816	543	5	stirling	GPE
ejpam-816	544	1	first	ORDINAL
ejpam-816	544	2	1	CARDINAL
ejpam-816	544	3	1 12	DATE
ejpam-816	544	4	1 288	CARDINAL
ejpam-816	544	5	139 51840	DATE
ejpam-816	545	1	1−	TIME
ejpam-816	545	2	e(αs	ORG
ejpam-816	546	1	1+ κχ 2α	DATE
ejpam-816	546	2	1	CARDINAL
ejpam-816	547	1	1+ κχ 2	DATE
ejpam-816	547	2	∑ r=1 ar(ar	PERSON
ejpam-816	547	3	1	CARDINAL
ejpam-816	547	4	1−	TIME
ejpam-816	549	1	1+ κχ 12	DATE
ejpam-816	549	2	1	CARDINAL
ejpam-816	549	3	+ 1	DATE
ejpam-816	549	4	1	CARDINAL
ejpam-816	550	1	1027	CARDINAL
ejpam-816	550	2	51	CARDINAL
ejpam-816	550	3	1 2	DATE
ejpam-816	550	4	52	CARDINAL
ejpam-816	550	5	∑ r=1 ar(ar	PERSON
ejpam-816	550	6	1	CARDINAL
ejpam-816	550	7	1−	TIME
ejpam-816	550	8	1	CARDINAL
ejpam-816	550	9	+ 1	DATE
ejpam-816	550	10	1	CARDINAL
ejpam-816	551	1	51	CARDINAL
ejpam-816	551	2	mathematica	PERSON
ejpam-816	553	1	40	CARDINAL
ejpam-816	554	1	appendix b.	PERSON
ejpam-816	555	1	2ψ0(z	CARDINAL
ejpam-816	555	2	19	CARDINAL
ejpam-816	555	3	function pψq(z	ORG
ejpam-816	556	1	2	CARDINAL
ejpam-816	557	1	1 4	DATE
ejpam-816	557	2	1 8	DATE
ejpam-816	557	3	2ψ0(z	CARDINAL
ejpam-816	557	4	2ψ0	CARDINAL
ejpam-816	557	5	1 4	DATE
ejpam-816	558	1	∑ k=0 zk k	PERSON
ejpam-816	558	2	4	CARDINAL
ejpam-816	558	3	1 8	DATE
ejpam-816	559	1	53	CARDINAL
ejpam-816	559	2	7	CARDINAL
ejpam-816	559	3	1 2	DATE
ejpam-816	559	4	1 2	CARDINAL
ejpam-816	559	5	4	CARDINAL
ejpam-816	560	1	10	CARDINAL
ejpam-816	561	1	1 8	DATE
ejpam-816	561	2	54	CARDINAL
ejpam-816	561	3	29/4π	CARDINAL
ejpam-816	561	4	j ≤ 28	LAW
ejpam-816	562	1	first	ORDINAL
ejpam-816	562	2	ten	CARDINAL
ejpam-816	562	3	2ψ0(z	DATE
ejpam-816	562	4	53	CARDINAL
ejpam-816	562	5	3	CARDINAL
ejpam-816	562	6	3	CARDINAL
ejpam-816	562	7	j for 1≤	WORK_OF_ART
ejpam-816	563	1	j ≤ 10	LAW
ejpam-816	563	2	53	CARDINAL
ejpam-816	564	1	j c j j c j	PERSON
ejpam-816	564	2	729	CARDINAL
ejpam-816	564	3	4	TIME
ejpam-816	564	4	9 1437596137005803775 8796093022208	DATE
ejpam-816	564	5	10 443063017349580803175 281474976710656	DATE
ejpam-816	564	6	1028	CARDINAL
ejpam-816	564	7	11	CARDINAL
ejpam-816	564	8	2ψ0(z	DATE
ejpam-816	564	9	53	CARDINAL
ejpam-816	564	10	2ψ0(z	CARDINAL
ejpam-816	564	11	1 2πi	CARDINAL
ejpam-816	565	1	γ(s)γ2(1 8	DATE
ejpam-816	565	2	3 4	CARDINAL
ejpam-816	565	3	0	CARDINAL
ejpam-816	565	4	γ(s	PRODUCT
ejpam-816	565	5	8	CARDINAL
ejpam-816	565	6	4k+ 1 2	DATE
ejpam-816	565	7	0,1,2	DATE
ejpam-816	566	1	the algebraic expansion h2,0(ze∓πi	ORG
ejpam-816	567	1	= −16 ∞ ∑ k=0	PERSON
ejpam-816	567	2	1 2	CARDINAL
ejpam-816	567	3	1 2	CARDINAL
ejpam-816	567	4	log(ze∓πi	ORG
ejpam-816	567	5	55	CARDINAL
ejpam-816	567	6	60	CARDINAL
ejpam-816	568	1	1	CARDINAL
ejpam-816	568	2	2	CARDINAL
ejpam-816	568	3	2ψ0(z	CARDINAL
ejpam-816	568	4	54	CARDINAL
ejpam-816	568	5	1 4	CARDINAL
ejpam-816	568	6	55	CARDINAL
ejpam-816	569	1	1 4	CARDINAL
ejpam-816	569	2	3 4	CARDINAL
ejpam-816	569	3	2	CARDINAL
ejpam-816	570	1	|arg	NORP
ejpam-816	570	2	2	CARDINAL
ejpam-816	570	3	the algebraic expansion h2,0(ze∓πi	ORG
ejpam-816	570	4	1 2	CARDINAL
ejpam-816	570	5	19	CARDINAL
ejpam-816	570	6	2ψ0(z	CARDINAL
ejpam-816	571	1	ε h2,0(ze∓πi	ORG
ejpam-816	571	2	1 2	QUANTITY
ejpam-816	571	3	z| ≤ π	ORG
ejpam-816	571	4	56	CARDINAL
ejpam-816	572	1	1 2	CARDINAL
ejpam-816	572	2	2ψ0(z	CARDINAL
ejpam-816	573	1	2,0	CARDINAL
ejpam-816	573	2	54	CARDINAL
ejpam-816	574	1	the first half	DATE
ejpam-816	574	2	4	CARDINAL
ejpam-816	574	3	1 2	CARDINAL
ejpam-816	574	4	15	CARDINAL
ejpam-816	574	5	2ψ0(z	CARDINAL
ejpam-816	574	6	53	CARDINAL
ejpam-816	575	1	the second half	DATE
ejpam-816	575	2	4	CARDINAL
ejpam-816	575	3	2ψ0(z	CARDINAL
ejpam-816	575	4	56	CARDINAL
ejpam-816	575	5	1 2	CARDINAL
ejpam-816	575	6	3 4	CARDINAL
ejpam-816	576	1	first	ORDINAL
ejpam-816	576	2	56	CARDINAL
ejpam-816	576	3	1 2	CARDINAL
ejpam-816	576	4	3 4	DATE
ejpam-816	576	5	second	ORDINAL
ejpam-816	576	6	56	CARDINAL
ejpam-816	578	1	the first half	DATE
ejpam-816	578	2	4	CARDINAL
ejpam-816	578	3	1 2	CARDINAL
ejpam-816	579	1	1029	CARDINAL
ejpam-816	579	2	4	CARDINAL
ejpam-816	579	3	2ψ0(z	CARDINAL
ejpam-816	579	4	1 2	CARDINAL
ejpam-816	579	5	3 4	DATE
ejpam-816	579	6	15	CARDINAL
ejpam-816	580	1	θ/π re(s	ORG
ejpam-816	580	2	θ/π re(s	ORG
ejpam-816	580	3	0.40	CARDINAL
ejpam-816	580	4	0.50	MONEY
ejpam-816	581	1	0.45 0.94397 0.52	QUANTITY
ejpam-816	581	2	2.819× 10−12	DATE
ejpam-816	581	3	0.60	CARDINAL
ejpam-816	581	4	1.571× 10−10	DATE
ejpam-816	581	5	4.808×	CARDINAL
ejpam-816	582	1	0.49 0.60226	CARDINAL
ejpam-816	582	2	0.50	CARDINAL
ejpam-816	582	3	0.75 1.222× 10−0 2.854× 10−14	DATE
ejpam-816	582	4	half	CARDINAL
ejpam-816	583	1	the second half	DATE
ejpam-816	583	2	1 2	CARDINAL
ejpam-816	583	3	3 4	CARDINAL
ejpam-816	583	4	second	ORDINAL
ejpam-816	583	5	56	CARDINAL
ejpam-816	584	1	10	CARDINAL
ejpam-816	584	2	pψ0(z	DATE
ejpam-816	584	3	1 ≤	QUANTITY
ejpam-816	585	1	s(θ	ORG
ejpam-816	586	1	1−	TIME
ejpam-816	587	1	2	CARDINAL
ejpam-816	587	2	4	CARDINAL
ejpam-816	587	3	53	CARDINAL
ejpam-816	587	4	s(θ	LOC
ejpam-816	587	5	2 π	DATE
ejpam-816	588	1	appendix c.	PERSON
ejpam-816	588	2	12	CARDINAL
ejpam-816	588	3	section 4.2	LAW
ejpam-816	590	1	2	CARDINAL
ejpam-816	590	2	34	CARDINAL
ejpam-816	592	1	2ψ0(z	DATE
ejpam-816	592	2	1,2	CARDINAL
ejpam-816	592	3	16	CARDINAL
ejpam-816	592	4	2	CARDINAL
ejpam-816	592	5	0	CARDINAL
ejpam-816	593	1	13	CARDINAL
ejpam-816	593	2	14	CARDINAL
ejpam-816	594	1	11	CARDINAL
ejpam-816	594	2	2ψ0(z	CARDINAL
ejpam-816	595	1	1 2πi	CARDINAL
ejpam-816	595	2	∞i −∞i	ORG
ejpam-816	597	1	57	CARDINAL
ejpam-816	597	2	¶it	ORG
ejpam-816	597	3	11	CARDINAL
ejpam-816	598	1	1030	CARDINAL
ejpam-816	598	2	0	CARDINAL
ejpam-816	599	1	two	CARDINAL
ejpam-816	599	2	12	CARDINAL
ejpam-816	599	3	1,2	CARDINAL
ejpam-816	599	4	0,1,2	CARDINAL
ejpam-816	600	1	+ k α1 = a2	PERSON
ejpam-816	600	2	58	CARDINAL
ejpam-816	601	1	57	CARDINAL
ejpam-816	601	2	2	CARDINAL
ejpam-816	602	1	59	CARDINAL
ejpam-816	602	2	14	CARDINAL
ejpam-816	603	1	1	CARDINAL
ejpam-816	603	2	∑ k,ℓ	PERSON
ejpam-816	603	3	60	CARDINAL
ejpam-816	603	4	58	CARDINAL
ejpam-816	604	1	1,2	CARDINAL
ejpam-816	605	1	first	ORDINAL
ejpam-816	605	2	59	CARDINAL
ejpam-816	605	3	34	CARDINAL
ejpam-816	605	4	section 4.2	LAW
ejpam-816	606	1	g(z	PERSON
ejpam-816	606	2	g(z	PERSON
ejpam-816	607	1	∑ k,ℓ	PERSON
ejpam-816	607	2	ze−πi	ORG
ejpam-816	608	1	61	CARDINAL
ejpam-816	611	1	32	CARDINAL
ejpam-816	611	2	n= 2	ORG
ejpam-816	611	3	34	CARDINAL
ejpam-816	612	1	1031	DATE
ejpam-816	612	2	∑ k,ℓ	PERSON
ejpam-816	614	1	k,ℓ	ORG
ejpam-816	614	2	1))−λk	CARDINAL
ejpam-816	614	3	1	CARDINAL
ejpam-816	614	4	0	CARDINAL
ejpam-816	614	5	1	CARDINAL
ejpam-816	614	6	61	CARDINAL
ejpam-816	614	7	34	CARDINAL