id	sid	eid	entity	type
ejpam-782	1	1	10_782_kumar.dvi	CARDINAL
ejpam-782	1	2	european journal	ORG
ejpam-782	2	1	3	CARDINAL
ejpam-782	2	2	6, 2010	DATE
ejpam-782	2	3	1062-1069	CARDINAL
ejpam-782	2	4	hari m. srivastava	PERSON
ejpam-782	2	5	70th	ORDINAL
ejpam-782	2	6	r2 devendra kumar	GPE
ejpam-782	3	1	m.m.h.college	ORG
ejpam-782	3	2	ghaziabad201001,u.p	ORG
ejpam-782	3	3	india	GPE
ejpam-782	4	1	r2	LOC
ejpam-782	5	1	mccoy	PERSON
ejpam-782	6	1	9	CARDINAL
ejpam-782	6	2	2000	CARDINAL
ejpam-782	6	3	30a35,41a10	CARDINAL
ejpam-782	6	4	1	CARDINAL
ejpam-782	6	5	taylor	PERSON
ejpam-782	8	1	+ 1	DATE
ejpam-782	9	1	0	CARDINAL
ejpam-782	9	2	1	CARDINAL
ejpam-782	10	1	1062	CARDINAL
ejpam-782	11	1	2010	DATE
ejpam-782	12	1	d. kumar	PERSON
ejpam-782	13	1	j. pure	PERSON
ejpam-782	13	2	3	CARDINAL
ejpam-782	13	3	2010	DATE
ejpam-782	13	4	1062-1069 1063	QUANTITY
ejpam-782	13	5	r2	GPE
ejpam-782	13	6	∈	ORG
ejpam-782	14	1	1	CARDINAL
ejpam-782	14	2	first	ORDINAL
ejpam-782	14	3	φ(r	GPE
ejpam-782	17	1	−1 e(r2	DATE
ejpam-782	17	2	z(1−	PRODUCT
ejpam-782	17	3	2	CARDINAL
ejpam-782	19	1	1+ ∞ ∑	QUANTITY
ejpam-782	21	1	0,∞	DATE
ejpam-782	21	2	bergman e f	PERSON
ejpam-782	22	1	1	CARDINAL
ejpam-782	22	2	φ(r	GPE
ejpam-782	22	3	3	CARDINAL
ejpam-782	22	4	2	CARDINAL
ejpam-782	24	1	−1 e(r2	DATE
ejpam-782	24	2	0,1,2,3	CARDINAL
ejpam-782	25	1	φ	ORG
ejpam-782	26	1	4	CARDINAL
ejpam-782	26	2	gilbert	PERSON
ejpam-782	26	3	colton	PERSON
ejpam-782	27	1	4	CARDINAL
ejpam-782	27	2	φ(r	GPE
ejpam-782	27	3	lim	PERSON
ejpam-782	27	4	n→∞	CARDINAL
ejpam-782	27	5	0	CARDINAL
ejpam-782	28	1	5	CARDINAL
ejpam-782	28	2	p(r	PERSON
ejpam-782	28	3	bernstein	PERSON
ejpam-782	29	1	φ −	PERSON
ejpam-782	30	1	6	CARDINAL
ejpam-782	32	1	0	CARDINAL
ejpam-782	33	1	0	CARDINAL
ejpam-782	33	2	d. kumar	PERSON
ejpam-782	34	1	j. pure	PERSON
ejpam-782	34	2	3	CARDINAL
ejpam-782	34	3	2010	DATE
ejpam-782	34	4	1062-1069 1064	CARDINAL
ejpam-782	36	1	φ(r	GPE
ejpam-782	36	2	δ(k	PERSON
ejpam-782	36	3	0.to	CARDINAL
ejpam-782	37	1	0	CARDINAL
ejpam-782	39	1	φ(r	GPE
ejpam-782	39	2	6	CARDINAL
ejpam-782	40	1	2.	CARDINAL
ejpam-782	40	2	1	CARDINAL
ejpam-782	44	1	2. ω(l(p	CARDINAL
ejpam-782	46	1	2	CARDINAL
ejpam-782	46	2	1+ l(p	QUANTITY
ejpam-782	46	3	2	CARDINAL
ejpam-782	46	4	3≤	DATE
ejpam-782	46	5	ω(p	MONEY
ejpam-782	46	6	3	CARDINAL
ejpam-782	48	1	1	CARDINAL
ejpam-782	49	1	φ(r	GPE
ejpam-782	49	2	φ(r	GPE
ejpam-782	50	1	φ	PERSON
ejpam-782	50	2	δ(p	PERSON
ejpam-782	50	3	φ	PERSON
ejpam-782	50	4	δ(p	PERSON
ejpam-782	50	5	1	CARDINAL
ejpam-782	51	1	δ(p	PERSON
ejpam-782	51	2	φ	PERSON
ejpam-782	51	3	δ(p	PERSON
ejpam-782	51	4	δ(p	PERSON
ejpam-782	51	5	δ(p	PERSON
ejpam-782	51	6	d. kumar	PERSON
ejpam-782	52	1	j. pure	PERSON
ejpam-782	52	2	3	CARDINAL
ejpam-782	52	3	2010	DATE
ejpam-782	52	4	1062-1069 1065	CARDINAL
ejpam-782	52	5	δ(p	PERSON
ejpam-782	53	1	δ(p	PERSON
ejpam-782	53	2	l(p	ORG
ejpam-782	53	3	n→∞	CARDINAL
ejpam-782	54	1	n→∞	CARDINAL
ejpam-782	54	2	n→∞	CARDINAL
ejpam-782	56	1	0	CARDINAL
ejpam-782	56	2	2)rn+1dr	CARDINAL
ejpam-782	56	3	0	CARDINAL
ejpam-782	56	4	0,1,2,3	CARDINAL
ejpam-782	58	1	4	CARDINAL
ejpam-782	59	1	2	CARDINAL
ejpam-782	59	2	2	CARDINAL
ejpam-782	59	3	1 2π	CARDINAL
ejpam-782	59	4	2π	CARDINAL
ejpam-782	60	1	φ(r	GPE
ejpam-782	60	2	p(r	PERSON
ejpam-782	60	3	∈	ORG
ejpam-782	60	4	πn−1	NORP
ejpam-782	61	1	1 2π	CARDINAL
ejpam-782	61	2	∫	ORG
ejpam-782	61	3	0	CARDINAL
ejpam-782	62	1	2π	CARDINAL
ejpam-782	63	1	φ(r	GPE
ejpam-782	63	2	p(r	PERSON
ejpam-782	63	3	rd	GPE
ejpam-782	63	4	7	CARDINAL
ejpam-782	63	5	lim	ORG
ejpam-782	63	6	n→∞	CARDINAL
ejpam-782	63	7	n→∞	CARDINAL
ejpam-782	64	1	5	CARDINAL
ejpam-782	64	2	δ(p	PERSON
ejpam-782	64	3	δ(p	PERSON
ejpam-782	64	4	φ	PERSON
ejpam-782	67	1	1− t2 2	PRODUCT
ejpam-782	68	1	1−	CARDINAL
ejpam-782	68	2	2	CARDINAL
ejpam-782	68	3	2	MONEY
ejpam-782	69	1	j. pure	PERSON
ejpam-782	69	2	3	CARDINAL
ejpam-782	69	3	2010	DATE
ejpam-782	69	4	1062-1069 1066	CARDINAL
ejpam-782	69	5	0≤ r ≤	MONEY
ejpam-782	73	1	kzk.	GPE
ejpam-782	74	1	≤‖ φ − p	ORG
ejpam-782	81	1	reddy	ORG
ejpam-782	81	2	10	CARDINAL
ejpam-782	81	3	bernstein	PERSON
ejpam-782	82	1	0	CARDINAL
ejpam-782	83	1	k(r0)[2	GPE
ejpam-782	83	2	2 k(r0	PERSON
ejpam-782	83	3	lim	PERSON
ejpam-782	83	4	n→∞	CARDINAL
ejpam-782	83	5	n→∞	CARDINAL
ejpam-782	84	1	5	CARDINAL
ejpam-782	84	2	61	CARDINAL
ejpam-782	84	3	δ(p	PERSON
ejpam-782	84	4	δ(p	PERSON
ejpam-782	86	1	2	CARDINAL
ejpam-782	87	1	φ(r	GPE
ejpam-782	87	2	φ(r	GPE
ejpam-782	87	3	bassociate f(z	PERSON
ejpam-782	89	1	φ	PERSON
ejpam-782	89	2	m(φ	GPE
ejpam-782	89	3	1	CARDINAL
ejpam-782	89	4	δ(p	PERSON
ejpam-782	89	5	1	CARDINAL
ejpam-782	89	6	δ(p	PERSON
ejpam-782	89	7	n→∞	DATE
ejpam-782	89	8	δ(p	PERSON
ejpam-782	89	9	δ(p	PERSON
ejpam-782	90	1	d. kumar	PERSON
ejpam-782	91	1	j. pure	PERSON
ejpam-782	91	2	3	CARDINAL
ejpam-782	91	3	2010	DATE
ejpam-782	91	4	1062-1069	CARDINAL
ejpam-782	92	1	1	CARDINAL
ejpam-782	92	2	δ(p	PERSON
ejpam-782	92	3	1	CARDINAL
ejpam-782	92	4	δ(p	PERSON
ejpam-782	93	1	n→∞	DATE
ejpam-782	93	2	δ(p	PERSON
ejpam-782	93	3	δ(p	PERSON
ejpam-782	93	4	φ	PERSON
ejpam-782	94	1	n→∞	DATE
ejpam-782	96	1	n→∞	DATE
ejpam-782	97	1	log[p−2	PERSON
ejpam-782	98	1	n→∞	DATE
ejpam-782	99	1	log[p−2]	PERSON
ejpam-782	101	1	1	CARDINAL
ejpam-782	101	2	0	CARDINAL
ejpam-782	102	1	m(φ	NORP
ejpam-782	102	2	2,2	CARDINAL
ejpam-782	102	3	1	CARDINAL
ejpam-782	102	4	2,1	CARDINAL
ejpam-782	102	5	1	CARDINAL
ejpam-782	102	6	3≤	DATE
ejpam-782	102	7	m(f	PERSON
ejpam-782	102	8	m(e	ORG
ejpam-782	102	9	r0/2	ORG
ejpam-782	102	10	2,1	CARDINAL
ejpam-782	104	1	7	CARDINAL
ejpam-782	105	1	2[en(φ)/µn(gn	CARDINAL
ejpam-782	106	1	−1	DATE
ejpam-782	107	1	n→∞	DATE
ejpam-782	107	2	2,1)-type	CARDINAL
ejpam-782	107	3	6,thm.1,pp.181	CARDINAL
ejpam-782	107	4	1	CARDINAL
ejpam-782	107	5	2,1	CARDINAL
ejpam-782	107	6	2δ	CARDINAL
ejpam-782	107	7	2,1	CARDINAL
ejpam-782	107	8	1	CARDINAL
ejpam-782	107	9	2,1,φ	DATE
ejpam-782	109	1	n→∞	CARDINAL
ejpam-782	109	2	−1	DATE
ejpam-782	109	3	2,1,φ	DATE
ejpam-782	109	4	1	CARDINAL
ejpam-782	109	5	2(δ(2,1	CARDINAL
ejpam-782	109	6	2,1	CARDINAL
ejpam-782	109	7	1	CARDINAL
ejpam-782	109	8	n→∞	DATE
ejpam-782	109	9	1	CARDINAL
ejpam-782	109	10	1	CARDINAL
ejpam-782	110	1	9	CARDINAL
ejpam-782	110	2	1068	CARDINAL
ejpam-782	110	3	7	CARDINAL
ejpam-782	111	1	2[en(φ)/µn(gn	CARDINAL
ejpam-782	111	2	−1	DATE
ejpam-782	112	1	−1	DATE
ejpam-782	112	2	−1	DATE
ejpam-782	113	1	2,2)-type	CARDINAL
ejpam-782	113	2	6,thm.1,pp.181	CARDINAL
ejpam-782	113	3	δ(2,2	EVENT
ejpam-782	113	4	δ(2,2	TIME
ejpam-782	113	5	δ(2,2	PERSON
ejpam-782	114	1	1	CARDINAL
ejpam-782	114	2	2,2	CARDINAL
ejpam-782	115	1	1 t (	CARDINAL
ejpam-782	116	1	δ(2,2	PERSON
ejpam-782	116	2	−1	DATE
ejpam-782	117	1	n→∞	CARDINAL
ejpam-782	117	2	−1	DATE
ejpam-782	117	3	−1	DATE
ejpam-782	118	1	1	CARDINAL
ejpam-782	118	2	1	CARDINAL
ejpam-782	118	3	δ(2,2	EVENT
ejpam-782	118	4	δ(2,2	PERSON
ejpam-782	118	5	−1	DATE
ejpam-782	118	6	δ(2,2,φ))δ(2,2,φ)/(δ(2,2,φ)−1	ORG
ejpam-782	118	7	2,2	CARDINAL
ejpam-782	118	8	1 δ(2,2	TIME
ejpam-782	118	9	−1	DATE
ejpam-782	119	1	n→∞	CARDINAL
ejpam-782	119	2	1	CARDINAL
ejpam-782	119	3	−1	DATE
ejpam-782	120	1	10	CARDINAL
ejpam-782	120	2	2,2	CARDINAL
ejpam-782	121	1	3 ≤	MONEY
ejpam-782	124	1	δ(p	PERSON
ejpam-782	124	2	φ	PERSON
ejpam-782	124	3	δ(p	PERSON
ejpam-782	124	4	δ(p	PERSON
ejpam-782	124	5	δ(p	PERSON
ejpam-782	124	6	δ(p	PERSON
ejpam-782	124	7	φ	ORG
ejpam-782	124	8	−1	DATE
ejpam-782	125	1	n→∞	DATE
ejpam-782	125	2	6	CARDINAL
ejpam-782	125	3	1	CARDINAL
ejpam-782	125	4	1	CARDINAL
ejpam-782	125	5	δ(p	PERSON
ejpam-782	125	6	1	CARDINAL
ejpam-782	125	7	φ	PERSON
ejpam-782	125	8	1	CARDINAL
ejpam-782	125	9	δ(p	PERSON
ejpam-782	125	10	n→∞	DATE
ejpam-782	125	11	1	CARDINAL
ejpam-782	125	12	δ(p	PERSON
ejpam-782	125	13	δ(p	PERSON
ejpam-782	125	14	φ	ORG
ejpam-782	125	15	1	CARDINAL
ejpam-782	125	16	δ(p	PERSON
ejpam-782	125	17	φ	ORG
ejpam-782	125	18	1	CARDINAL
ejpam-782	125	19	δ(p	PERSON
ejpam-782	126	1	n→∞	DATE
ejpam-782	126	2	1	CARDINAL
ejpam-782	126	3	δ(p	PERSON
ejpam-782	126	4	δ(p	PERSON
ejpam-782	127	1	11	CARDINAL
ejpam-782	127	2	11	CARDINAL
ejpam-782	130	1	1	CARDINAL
ejpam-782	130	2	s. bergman	PERSON
ejpam-782	130	3	der mathematik und ihrer grenzgebiete	PERSON
ejpam-782	130	4	23	DATE
ejpam-782	130	5	yok	ORG
ejpam-782	130	6	1969	DATE
ejpam-782	131	1	1069	CARDINAL
ejpam-782	131	2	2	CARDINAL
ejpam-782	131	3	gilbert	PERSON
ejpam-782	132	1	new york	GPE
ejpam-782	132	2	1969	DATE
ejpam-782	133	1	3	CARDINAL
ejpam-782	133	2	gilbert	PERSON
ejpam-782	133	3	d.l. colton	PERSON
ejpam-782	133	4	contrib	PRODUCT
ejpam-782	133	5	2	CARDINAL
ejpam-782	133	6	441	CARDINAL
ejpam-782	134	1	1963	DATE
ejpam-782	135	1	4	CARDINAL
ejpam-782	135	2	gilbert	PERSON
ejpam-782	135	3	d.l. colton	PERSON
ejpam-782	135	4	quarterly	DATE
ejpam-782	136	1	19	CARDINAL
ejpam-782	136	2	391	CARDINAL
ejpam-782	137	1	1968	DATE
ejpam-782	138	1	5	CARDINAL
ejpam-782	138	2	j.reine angew	PERSON
ejpam-782	139	1	282	CARDINAL
ejpam-782	139	2	53-67	DATE
ejpam-782	139	3	1976	DATE
ejpam-782	140	1	6	CARDINAL
ejpam-782	140	2	j.reine angrew.	PERSON
ejpam-782	142	1	290	CARDINAL
ejpam-782	142	2	180	CARDINAL
ejpam-782	142	3	1977	DATE
ejpam-782	143	1	7	CARDINAL
ejpam-782	143	2	canadian	NORP
ejpam-782	146	1	john wiley	PERSON
ejpam-782	146	2	new york	GPE
ejpam-782	146	3	1988	DATE
ejpam-782	147	1	8	CARDINAL
ejpam-782	147	2	mccoy	PERSON
ejpam-782	147	3	canadian	NORP
ejpam-782	147	4	j. math	PERSON
ejpam-782	148	1	1	CARDINAL
ejpam-782	148	2	1579	DATE
ejpam-782	148	3	49	CARDINAL
ejpam-782	149	1	9	CARDINAL
ejpam-782	149	2	18,1	CARDINAL
ejpam-782	149	3	91	CARDINAL
ejpam-782	149	4	1992	DATE
ejpam-782	150	1	10	CARDINAL
ejpam-782	150	2	j.approx.	GPE
ejpam-782	150	3	5	CARDINAL
ejpam-782	150	4	97-112	CARDINAL
ejpam-782	150	5	1972	DATE