id	sid	eid	entity	type
ejpam-365	1	1	4_365_srivastava.dvi	CARDINAL
ejpam-365	1	2	european journal	ORG
ejpam-365	2	1	2	CARDINAL
ejpam-365	2	2	4, 2009	DATE
ejpam-365	2	3	520-531	CARDINAL
ejpam-365	2	4	1307-5543	CARDINAL
ejpam-365	3	1	g. s. srivastava∗	PERSON
ejpam-365	3	2	susheel kumar department	ORG
ejpam-365	3	3	indian institute of technology	ORG
ejpam-365	3	4	roorkee	GPE
ejpam-365	3	5	roorkee-247667	DATE
ejpam-365	3	6	india	GPE
ejpam-365	7	1	2000	CARDINAL
ejpam-365	7	2	30b10	CARDINAL
ejpam-365	7	3	30d20	CARDINAL
ejpam-365	7	4	32k05	CARDINAL
ejpam-365	8	1	1	CARDINAL
ejpam-365	9	1	4	CARDINAL
ejpam-365	9	2	5	CARDINAL
ejpam-365	11	1	girssfma�iitr.ernet.in	DATE
ejpam-365	11	2	g. srivastava	PERSON
ejpam-365	12	1	520	CARDINAL
ejpam-365	12	2	2009	DATE
ejpam-365	13	1	g. srivastava	PERSON
ejpam-365	13	2	s. kumar	PERSON
ejpam-365	14	1	j. pure	PERSON
ejpam-365	14	2	2	CARDINAL
ejpam-365	14	3	2009	DATE
ejpam-365	14	4	520-531	CARDINAL
ejpam-365	14	5	521	CARDINAL
ejpam-365	15	1	+ 1/ψ(x)}x	QUANTITY
ejpam-365	15	2	1	CARDINAL
ejpam-365	16	1	x→∞	DATE
ejpam-365	17	1	1	CARDINAL
ejpam-365	17	2	0	CARDINAL
ejpam-365	18	1	m(r	PRODUCT
ejpam-365	19	1	max	PERSON
ejpam-365	20	1	α(x	ORG
ejpam-365	20	2	ρ(α	ORG
ejpam-365	21	1	lim r→∞	PERSON
ejpam-365	21	2	α[log	DATE
ejpam-365	22	1	α(x	DATE
ejpam-365	22	2	σ(α	ORG
ejpam-365	23	1	lim r→∞	PERSON
ejpam-365	25	1	n ≥ 1	DATE
ejpam-365	26	1	s(r	PERSON
ejpam-365	28	1	0	CARDINAL
ejpam-365	29	1	g(z	PERSON
ejpam-365	29	2	ρ(α	CARDINAL
ejpam-365	29	3	lim r→∞	PERSON
ejpam-365	31	1	g. srivastava	PERSON
ejpam-365	31	2	s. kumar	PERSON
ejpam-365	32	1	j. pure	PERSON
ejpam-365	32	2	2	CARDINAL
ejpam-365	32	3	2009	DATE
ejpam-365	32	4	520-531	CARDINAL
ejpam-365	32	5	522	CARDINAL
ejpam-365	32	6	σ(α	ORG
ejpam-365	32	7	lim r→∞	PERSON
ejpam-365	37	1	|p(z)|1/n : p−polynomial	PRODUCT
ejpam-365	37	2	1	CARDINAL
ejpam-365	37	3	2	DATE
ejpam-365	37	4	2	CARDINAL
ejpam-365	37	5	3	CARDINAL
ejpam-365	38	1	1	CARDINAL
ejpam-365	38	2	2	DATE
ejpam-365	46	1	nth	DATE
ejpam-365	46	2	lagrange	GPE
ejpam-365	46	3	2	CARDINAL
ejpam-365	46	4	3	CARDINAL
ejpam-365	47	1	janik	PERSON
ejpam-365	48	1	1	CARDINAL
ejpam-365	49	1	3	CARDINAL
ejpam-365	51	1	1	CARDINAL
ejpam-365	51	2	5	CARDINAL
ejpam-365	52	1	2	CARDINAL
ejpam-365	52	2	first	ORDINAL
ejpam-365	53	1	1	CARDINAL
ejpam-365	56	1	d(log x	PERSON
ejpam-365	56	2	g. srivastava	PERSON
ejpam-365	56	3	s. kumar	PERSON
ejpam-365	57	1	j. pure	PERSON
ejpam-365	57	2	2	CARDINAL
ejpam-365	57	3	2009	DATE
ejpam-365	57	4	520-531	CARDINAL
ejpam-365	57	5	523	CARDINAL
ejpam-365	57	6	l0	NORP
ejpam-365	57	7	∈	ORG
ejpam-365	57	8	l0	NORP
ejpam-365	57	9	lim	PERSON
ejpam-365	57	10	x→∞	DATE
ejpam-365	59	1	d(log x	PERSON
ejpam-365	59	2	1 ρ	CARDINAL
ejpam-365	60	1	n ∈ n	ORG
ejpam-365	61	1	n0 ∈ n	ORG
ejpam-365	61	2	0	CARDINAL
ejpam-365	62	1	n=0	PERSON
ejpam-365	62	2	σ(α	ORG
ejpam-365	62	3	n=0	PERSON
ejpam-365	62	4	σ(α	ORG
ejpam-365	62	5	n=0	PERSON
ejpam-365	65	1	n ≥	GPE
ejpam-365	65	2	n0	GPE
ejpam-365	65	3	0	CARDINAL
ejpam-365	66	1	lemma	ORG
ejpam-365	66	2	0	CARDINAL
ejpam-365	66	3	d(log x	PERSON
ejpam-365	68	1	g. srivastava	PERSON
ejpam-365	68	2	s. kumar	PERSON
ejpam-365	69	1	j. pure	PERSON
ejpam-365	69	2	2	CARDINAL
ejpam-365	69	3	2009	DATE
ejpam-365	69	4	520-531	CARDINAL
ejpam-365	69	5	524	CARDINAL
ejpam-365	69	6	4	CARDINAL
ejpam-365	72	1	1	CARDINAL
ejpam-365	72	2	d(log x	PERSON
ejpam-365	73	1	n≥ n0	PERSON
ejpam-365	73	2	0	CARDINAL
ejpam-365	74	1	1	CARDINAL
ejpam-365	76	1	1	CARDINAL
ejpam-365	76	2	3	CARDINAL
ejpam-365	77	1	2	CARDINAL
ejpam-365	77	2	n=0	PERSON
ejpam-365	77	3	1	CARDINAL
ejpam-365	77	4	n=0	PERSON
ejpam-365	78	1	∗(r	PERSON
ejpam-365	79	1	n ∈ n	ORG
ejpam-365	80	1	1	CARDINAL
ejpam-365	80	2	∗(r	PERSON
ejpam-365	80	3	∗(r)>||pn||k	ORG
ejpam-365	81	1	r.	NORP
ejpam-365	81	2	first	ORDINAL
ejpam-365	81	3	1	CARDINAL
ejpam-365	81	4	1/ρ+b	ORG
ejpam-365	82	1	3	CARDINAL
ejpam-365	83	1	1 g. srivastava	QUANTITY
ejpam-365	83	2	s. kumar	PERSON
ejpam-365	84	1	j. pure	PERSON
ejpam-365	84	2	2	CARDINAL
ejpam-365	84	3	2009	DATE
ejpam-365	84	4	520-531	CARDINAL
ejpam-365	84	5	525	CARDINAL
ejpam-365	85	1	n=0	PERSON
ejpam-365	85	2	1	CARDINAL
ejpam-365	85	3	3	CARDINAL
ejpam-365	87	1	2	CARDINAL
ejpam-365	88	1	4	CARDINAL
ejpam-365	88	2	3	CARDINAL
ejpam-365	89	1	n=0	PERSON
ejpam-365	89	2	α(x	DATE
ejpam-365	89	3	lim sup	PERSON
ejpam-365	89	4	r→∞ α	PERSON
ejpam-365	89	5	n=0	PERSON
ejpam-365	90	1	5	CARDINAL
ejpam-365	90	2	∈	ORG
ejpam-365	90	3	4	CARDINAL
ejpam-365	91	1	f(x/ρ	ORG
ejpam-365	91	2	1	CARDINAL
ejpam-365	92	1	f(x/ρ	ORG
ejpam-365	92	2	1	CARDINAL
ejpam-365	93	1	4	CARDINAL
ejpam-365	93	2	x∗(r	DATE
ejpam-365	95	1	n ≥ n0	GPE
ejpam-365	95	2	0 g. srivastava	PERSON
ejpam-365	95	3	s. kumar	PERSON
ejpam-365	96	1	j. pure	PERSON
ejpam-365	96	2	2	CARDINAL
ejpam-365	96	3	2009	DATE
ejpam-365	96	4	520-531	CARDINAL
ejpam-365	96	5	526	CARDINAL
ejpam-365	97	1	1+ o(1)}α−1[tβ({γ(2kr{1+	DATE
ejpam-365	97	2	1+	CARDINAL
ejpam-365	97	3	¦ 1 2 s(r	FAC
ejpam-365	97	4	n=0	PERSON
ejpam-365	97	5	≤	CARDINAL
ejpam-365	97	6	0	CARDINAL
ejpam-365	97	7	σ(α	ORG
ejpam-365	98	1	ν(r	PERSON
ejpam-365	98	2	∗(r	PERSON
ejpam-365	98	3	n=0	PERSON
ejpam-365	101	1	1	CARDINAL
ejpam-365	103	1	f(x	LOC
ejpam-365	104	1	t	GPE
ejpam-365	104	2	ρ	GPE
ejpam-365	104	3	d(log x	PERSON
ejpam-365	104	4	l0	NORP
ejpam-365	104	5	∈	ORG
ejpam-365	104	6	l0	NORP
ejpam-365	104	7	d[log(f(x	GPE
ejpam-365	104	8	t	GPE
ejpam-365	104	9	ρ	GPE
ejpam-365	104	10	d(log x	PERSON
ejpam-365	104	11	1 ρ	CARDINAL
ejpam-365	105	1	σ(α	ORG
ejpam-365	105	2	σ(α	ORG
ejpam-365	106	1	n→∞	CARDINAL
ejpam-365	106	2	α(n/ρ	ORG
ejpam-365	106	3	1	CARDINAL
ejpam-365	106	4	2	DATE
ejpam-365	106	5	3	DATE
ejpam-365	106	6	g. srivastava	PERSON
ejpam-365	106	7	s. kumar	PERSON
ejpam-365	107	1	j. pure	PERSON
ejpam-365	107	2	2	CARDINAL
ejpam-365	107	3	2009	DATE
ejpam-365	107	4	520-531	CARDINAL
ejpam-365	107	5	527	CARDINAL
ejpam-365	108	1	first	ORDINAL
ejpam-365	108	2	σ = σ(α	PERSON
ejpam-365	109	1	n→∞	CARDINAL
ejpam-365	109	2	α(n/ρ	ORG
ejpam-365	109	3	1	CARDINAL
ejpam-365	109	4	2	DATE
ejpam-365	109	5	3	DATE
ejpam-365	109	6	1	CARDINAL
ejpam-365	109	7	2	DATE
ejpam-365	109	8	3	CARDINAL
ejpam-365	110	1	1	CARDINAL
ejpam-365	110	2	2	DATE
ejpam-365	110	3	3	CARDINAL
ejpam-365	111	1	6	CARDINAL
ejpam-365	111	2	6	CARDINAL
ejpam-365	112	1	1	CARDINAL
ejpam-365	112	2	7	CARDINAL
ejpam-365	112	3	n∗	ORG
ejpam-365	112	4		PRODUCT
ejpam-365	112	5		PERSON
ejpam-365	113	1	stirling	GPE
ejpam-365	114	1	≈ e−nnn+1/2	CARDINAL
ejpam-365	114	2	2π	CARDINAL
ejpam-365	115	1	≈ nn n	PERSON
ejpam-365	117	1	1+ o(1)]e1 n	QUANTITY
ejpam-365	118	1	1+ o(1)]e1 n	QUANTITY
ejpam-365	120	1	first	ORDINAL
ejpam-365	121	1	s(r	GPE
ejpam-365	125	1	g. srivastava	PERSON
ejpam-365	125	2	s. kumar	PERSON
ejpam-365	126	1	j. pure	PERSON
ejpam-365	126	2	2	CARDINAL
ejpam-365	126	3	2009	DATE
ejpam-365	126	4	520-531	CARDINAL
ejpam-365	126	5	528	CARDINAL
ejpam-365	126	6	3	CARDINAL
ejpam-365	126	7	2	CARDINAL
ejpam-365	126	8	0 or e1 n ≤	QUANTITY
ejpam-365	127	1	f(n/ρ	ORG
ejpam-365	127	2	1 σ α(n	QUANTITY
ejpam-365	127	3	1 σ α(n	QUANTITY
ejpam-365	127	4	1 σ α(n	QUANTITY
ejpam-365	127	5	α(n/ρ	ORG
ejpam-365	128	1	n→∞	CARDINAL
ejpam-365	128	2	lim	ORG
ejpam-365	128	3	n→∞	CARDINAL
ejpam-365	128	4	α(n/ρ	ORG
ejpam-365	129	1	0	CARDINAL
ejpam-365	132	1	α(n/ρ	ORG
ejpam-365	133	1	n ≤ en/ρ � γ−1	FAC
ejpam-365	134	1	g. srivastava	PERSON
ejpam-365	134	2	s. kumar	PERSON
ejpam-365	135	1	j. pure	PERSON
ejpam-365	135	2	2	CARDINAL
ejpam-365	135	3	2009	DATE
ejpam-365	135	4	520-531	CARDINAL
ejpam-365	135	5	529	CARDINAL
ejpam-365	135	6	σ ≤	QUANTITY
ejpam-365	135	7	g(z	PERSON
ejpam-365	135	8	2	CARDINAL
ejpam-365	137	1	σ ≤ η3	PERSON
ejpam-365	138	1	1	CARDINAL
ejpam-365	138	2	2	DATE
ejpam-365	138	3	3	DATE
ejpam-365	138	4	n→∞	CARDINAL
ejpam-365	138	5	α(n/ρ	ORG
ejpam-365	139	1	α(n/ρ	ORG
ejpam-365	140	1	n→∞	DATE
ejpam-365	140	2	lim	PERSON
ejpam-365	143	1	lim	PERSON
ejpam-365	144	1	1	CARDINAL
ejpam-365	144	2	3.1	CARDINAL
ejpam-365	145	1	g = l0	PERSON
ejpam-365	145	2	530	CARDINAL
ejpam-365	145	3	lagrange	GPE
ejpam-365	146	1	σ(α	ORG
ejpam-365	149	1	1	CARDINAL
ejpam-365	149	2	σ(α	ORG
ejpam-365	150	1	σ(α	ORG
ejpam-365	151	1	6	CARDINAL
ejpam-365	151	2	7	DATE
ejpam-365	151	3	first	ORDINAL
ejpam-365	155	1	1	CARDINAL
ejpam-365	155	2	22	CARDINAL
ejpam-365	155	3	1981	DATE
ejpam-365	155	4	173-188	CARDINAL
ejpam-365	156	1	2	CARDINAL
ejpam-365	156	2	adam janik	PERSON
ejpam-365	156	3	univ.	ORG
ejpam-365	156	4	iagel	ORG
ejpam-365	158	1	24	CARDINAL
ejpam-365	158	2	1984	DATE
ejpam-365	158	3	295	CARDINAL
ejpam-365	159	1	3	CARDINAL
ejpam-365	159	2	univ.	ORG
ejpam-365	159	3	iagel	ORG
ejpam-365	161	1	24	CARDINAL
ejpam-365	161	2	1984	DATE
ejpam-365	161	3	321	CARDINAL
ejpam-365	162	1	531	CARDINAL
ejpam-365	162	2	4	CARDINAL
ejpam-365	162	3	m. n. seremeta	PERSON
ejpam-365	162	4	amer	PERSON
ejpam-365	165	1	88	CARDINAL
ejpam-365	165	2	2	CARDINAL
ejpam-365	165	3	1970	DATE
ejpam-365	165	4	291	CARDINAL
ejpam-365	166	1	5	CARDINAL
ejpam-365	166	2	s. m. shah	PERSON
ejpam-365	166	3	j. approx	PERSON
ejpam-365	167	1	19	CARDINAL
ejpam-365	167	2	1977	DATE
ejpam-365	167	3	315	CARDINAL
ejpam-365	168	1	6	CARDINAL
ejpam-365	168	2	ann	PERSON
ejpam-365	168	3	pol	PERSON
ejpam-365	168	4	28	CARDINAL
ejpam-365	168	5	97	CARDINAL