id	sid	eid	entity	type
ejpam-670	1	1	10_xxx_xi.dvi	CARDINAL
ejpam-670	1	2	european journal	ORG
ejpam-670	1	3	4	CARDINAL
ejpam-670	1	4	1, 2011	DATE
ejpam-670	1	5	83	CARDINAL
ejpam-670	1	6	hilbert	PERSON
ejpam-670	1	7	chongqing university of science and technology	ORG
ejpam-670	1	8	chongqing	GPE
ejpam-670	1	9	401331	DATE
ejpam-670	1	10	china	GPE
ejpam-670	2	1	ω(n	DATE
ejpam-670	3	1	1	CARDINAL
ejpam-670	3	2	1 2	CARDINAL
ejpam-670	3	3	5 6	CARDINAL
ejpam-670	3	4	2n+ 1)−1	DATE
ejpam-670	3	5	n ∈ n	ORG
ejpam-670	4	1	hilbert	PERSON
ejpam-670	5	1	2000	CARDINAL
ejpam-670	5	2	26d15	CARDINAL
ejpam-670	5	3	hilbert	PERSON
ejpam-670	5	4	1	CARDINAL
ejpam-670	6	1	1	CARDINAL
ejpam-670	6	2	1	CARDINAL
ejpam-670	7	1	+ 1	DATE
ejpam-670	7	2	1	CARDINAL
ejpam-670	7	3	0	CARDINAL
ejpam-670	7	4	0,1	CARDINAL
ejpam-670	7	5	∞ ∑ n=1−λ a2 n ∞ ∑ n=1−λ b2 n	PERSON
ejpam-670	7	6	1	CARDINAL
ejpam-670	8	1	∞ ∑ n=1−λ ap n	PERSON
ejpam-670	8	2	1	CARDINAL
ejpam-670	8	3	∞ ∑ n=1−λ bq n	PERSON
ejpam-670	8	4	2	CARDINAL
ejpam-670	8	5	π sin(π p	ORG
ejpam-670	9	1	1	CARDINAL
ejpam-670	9	2	hilbert	PERSON
ejpam-670	10	1	1	CARDINAL
ejpam-670	10	2	1	CARDINAL
ejpam-670	10	3	1 2	CARDINAL
ejpam-670	11	1	3	CARDINAL
ejpam-670	11	2	163	CARDINAL
ejpam-670	12	1	83	CARDINAL
ejpam-670	13	1	2010	DATE
ejpam-670	14	1	g. xi / eur	PERSON
ejpam-670	15	1	j. pure	PERSON
ejpam-670	15	2	4 (2011	DATE
ejpam-670	15	3	83-88	PERCENT
ejpam-670	15	4	3	CARDINAL
ejpam-670	15	5	hilbert	PERSON
ejpam-670	16	1	2	CARDINAL
ejpam-670	17	1	1	CARDINAL
ejpam-670	17	2	2	CARDINAL
ejpam-670	17	3	1	CARDINAL
ejpam-670	18	1	2	CARDINAL
ejpam-670	18	2	yang	PERSON
ejpam-670	18	3	3	CARDINAL
ejpam-670	18	4	1	CARDINAL
ejpam-670	19	1	1	CARDINAL
ejpam-670	19	2	1 2	CARDINAL
ejpam-670	20	1	1	CARDINAL
ejpam-670	20	2	1 2	CARDINAL
ejpam-670	20	3	4	CARDINAL
ejpam-670	20	4	∞ ∑ m=0 1	PERSON
ejpam-670	20	5	3 2	CARDINAL
ejpam-670	20	6	0.5292496+	MONEY
ejpam-670	21	1	3	CARDINAL
ejpam-670	21	2	ω(n	DATE
ejpam-670	22	1	1	CARDINAL
ejpam-670	22	2	1	CARDINAL
ejpam-670	22	3	1	CARDINAL
ejpam-670	22	4	2n+	CARDINAL
ejpam-670	22	5	1	CARDINAL
ejpam-670	22	6	n ∈ n	ORG
ejpam-670	22	7	1	CARDINAL
ejpam-670	24	1	1	CARDINAL
ejpam-670	24	2	1	CARDINAL
ejpam-670	26	1	2n+ 1	DATE
ejpam-670	26	2	1+ 1	QUANTITY
ejpam-670	26	3	1	CARDINAL
ejpam-670	26	4	euler	PERSON
ejpam-670	27	1	2	CARDINAL
ejpam-670	27	2	yang	PERSON
ejpam-670	27	3	3	CARDINAL
ejpam-670	28	1	1	CARDINAL
ejpam-670	29	1	2n+ 1	DATE
ejpam-670	29	2	3 2	CARDINAL
ejpam-670	30	1	2n+ 1	DATE
ejpam-670	30	2	3 2	CARDINAL
ejpam-670	30	3	1 2	CARDINAL
ejpam-670	31	1	5	CARDINAL
ejpam-670	31	2	3	CARDINAL
ejpam-670	31	3	4	CARDINAL
ejpam-670	31	4	5	CARDINAL
ejpam-670	32	1	2	CARDINAL
ejpam-670	32	2	first	ORDINAL
ejpam-670	33	1	1	CARDINAL
ejpam-670	34	1	2r)(x	ORG
ejpam-670	34	2	0	CARDINAL
ejpam-670	34	3	2r+1)(x	CARDINAL
ejpam-670	35	1	0	CARDINAL
ejpam-670	36	1	0	CARDINAL
ejpam-670	36	2	1	DATE
ejpam-670	36	3	2	DATE
ejpam-670	36	4	3	CARDINAL
ejpam-670	37	1	+ 1 2	MONEY
ejpam-670	37	2	′(0	NORP
ejpam-670	38	1	6	CARDINAL
ejpam-670	39	1	4	CARDINAL
ejpam-670	39	2	5	CARDINAL
ejpam-670	40	1	g. xi / eur	PERSON
ejpam-670	41	1	j. pure	PERSON
ejpam-670	41	2	4 (2011	DATE
ejpam-670	41	3	83-88 85	PERCENT
ejpam-670	41	4	2	CARDINAL
ejpam-670	42	1	ω(n	GPE
ejpam-670	43	1	1	CARDINAL
ejpam-670	43	2	1 2	CARDINAL
ejpam-670	43	3	1p	CARDINAL
ejpam-670	43	4	5	CARDINAL
ejpam-670	43	5	2	CARDINAL
ejpam-670	43	6	7	CARDINAL
ejpam-670	44	1	1	CARDINAL
ejpam-670	44	2	1 2	CARDINAL
ejpam-670	45	1	0,∞	TIME
ejpam-670	46	1	2n+ 1 n+ 1	DATE
ejpam-670	48	1	2n+	CARDINAL
ejpam-670	48	2	1	CARDINAL
ejpam-670	48	3	2x + 1	CARDINAL
ejpam-670	48	4	3 2	CARDINAL
ejpam-670	48	5	1	CARDINAL
ejpam-670	48	6	1)2	CARDINAL
ejpam-670	48	7	2x + 1	CARDINAL
ejpam-670	48	8	1 2	CARDINAL
ejpam-670	50	1	2n+	CARDINAL
ejpam-670	50	2	1	CARDINAL
ejpam-670	53	1	1	CARDINAL
ejpam-670	53	2	0 1	CARDINAL
ejpam-670	53	3	0 1	DATE
ejpam-670	54	1	2	CARDINAL
ejpam-670	54	2	1	CARDINAL
ejpam-670	54	3	1 2	CARDINAL
ejpam-670	54	4	2	CARDINAL
ejpam-670	54	5	2n+	CARDINAL
ejpam-670	55	1	3 2	CARDINAL
ejpam-670	56	1	2	CARDINAL
ejpam-670	56	2	2n+	CARDINAL
ejpam-670	56	3	2n+	CARDINAL
ejpam-670	57	1	2n+ 1	DATE
ejpam-670	57	2	1	CARDINAL
ejpam-670	58	1	ω(n	DATE
ejpam-670	60	1	1 2	CARDINAL
ejpam-670	60	2	ω(n	GPE
ejpam-670	62	1	lemma 1	ORG
ejpam-670	62	2	ω(n	GPE
ejpam-670	65	1	1 12	CARDINAL
ejpam-670	66	1	j. pure	PERSON
ejpam-670	66	2	4 (2011	DATE
ejpam-670	66	3	83-88 86	PERCENT
ejpam-670	66	4	2n+ 1	DATE
ejpam-670	66	5	1	CARDINAL
ejpam-670	68	1	1	CARDINAL
ejpam-670	69	1	2n+ 1	DATE
ejpam-670	69	2	5	CARDINAL
ejpam-670	69	3	1	CARDINAL
ejpam-670	70	1	1p	CARDINAL
ejpam-670	70	2	5(2n+ 1	CARDINAL
ejpam-670	70	3	12(n+ 1	DATE
ejpam-670	72	1	n ∈ n	ORG
ejpam-670	72	2	5(2n+ 1	CARDINAL
ejpam-670	72	3	1	CARDINAL
ejpam-670	73	1	1)2	CARDINAL
ejpam-670	73	2	5 6	CARDINAL
ejpam-670	73	3	1+ 1 2n+ 1	QUANTITY
ejpam-670	73	4	1+ 1 2n+ 1	QUANTITY
ejpam-670	73	5	5 6	CARDINAL
ejpam-670	73	6	5	CARDINAL
ejpam-670	73	7	6 + 1 6(2n+ 1	DATE
ejpam-670	73	8	2	CARDINAL
ejpam-670	75	1	3	CARDINAL
ejpam-670	76	1	ω(n	GPE
ejpam-670	77	1	1	CARDINAL
ejpam-670	77	2	1 2	CARDINAL
ejpam-670	77	3	5 6	CARDINAL
ejpam-670	77	4	2n+ 1)−1	DATE
ejpam-670	78	1	5	CARDINAL
ejpam-670	78	2	6 + 1 6(2n+ 1	DATE
ejpam-670	78	3	2	CARDINAL
ejpam-670	78	4	1+ a 2n+ 1	DATE
ejpam-670	78	5	5	CARDINAL
ejpam-670	78	6	6 + 1 2n+ 1	QUANTITY
ejpam-670	78	7	5a+	CARDINAL
ejpam-670	78	8	1 6	CARDINAL
ejpam-670	78	9	12−	CARDINAL
ejpam-670	78	10	2a	CARDINAL
ejpam-670	78	11	2n+ 1)2	QUANTITY
ejpam-670	78	12	5	CARDINAL
ejpam-670	78	13	6 + 1 2n+ 1	QUANTITY
ejpam-670	78	14	5a+ 1)(2n+ 1)2−	DATE
ejpam-670	78	15	12−	CARDINAL
ejpam-670	78	16	12a 6(2n+ 1)2	DATE
ejpam-670	79	1	n= 1	DATE
ejpam-670	80	1	12−	CARDINAL
ejpam-670	80	2	36a−	CARDINAL
ejpam-670	80	3	27 150	CARDINAL
ejpam-670	80	4	0	CARDINAL
ejpam-670	81	1	n≥ 1	DATE
ejpam-670	81	2	n ∈ n	ORG
ejpam-670	81	3	5	CARDINAL
ejpam-670	81	4	6 + 1 6(2n+ 1	DATE
ejpam-670	81	5	2	CARDINAL
ejpam-670	81	6	1+ a 2n+ 1	DATE
ejpam-670	81	7	5 6	CARDINAL
ejpam-670	82	1	g. xi / eur	PERSON
ejpam-670	83	1	j. pure	PERSON
ejpam-670	83	2	4 (2011	DATE
ejpam-670	83	3	83-88 87	DATE
ejpam-670	83	4	3 4	DATE
ejpam-670	84	1	∞ ∑ m=0 1	PERSON
ejpam-670	84	2	3 2	CARDINAL
ejpam-670	84	3	1	CARDINAL
ejpam-670	84	4	1 2	CARDINAL
ejpam-670	84	5	5 6	CARDINAL
ejpam-670	84	6	2n+ 1)−1	DATE
ejpam-670	84	7	1	CARDINAL
ejpam-670	84	8	1 2	CARDINAL
ejpam-670	84	9	5 6	CARDINAL
ejpam-670	84	10	2n+ 1)−1	DATE
ejpam-670	86	1	3	CARDINAL
ejpam-670	86	2	1	CARDINAL
ejpam-670	87	1	0	CARDINAL
ejpam-670	88	1	1	CARDINAL
ejpam-670	89	1	5 6	CARDINAL
ejpam-670	89	2	2n+ 1)−1	DATE
ejpam-670	90	1	5 6	CARDINAL
ejpam-670	90	2	2n+ 1)−1	DATE
ejpam-670	90	3	9	CARDINAL
ejpam-670	90	4	1	CARDINAL
ejpam-670	90	5	2	CARDINAL
ejpam-670	91	1	5 6	CARDINAL
ejpam-670	91	2	2n+ 1)−1	DATE
ejpam-670	91	3	10	CARDINAL
ejpam-670	93	1	1	CARDINAL
ejpam-670	93	2	1 2	CARDINAL
ejpam-670	93	3	1 4	CARDINAL
ejpam-670	93	4	1 2	CARDINAL
ejpam-670	93	5	1 4	CARDINAL
ejpam-670	93	6	1	CARDINAL
ejpam-670	93	7	1 2	CARDINAL
ejpam-670	93	8	1	CARDINAL
ejpam-670	93	9	1 2	CARDINAL
ejpam-670	93	10	1 2	CARDINAL
ejpam-670	93	11	∞ ∑ m=0	PERSON
ejpam-670	93	12	1	CARDINAL
ejpam-670	93	13	1 2	CARDINAL
ejpam-670	93	14	1	CARDINAL
ejpam-670	93	15	1 2	CARDINAL
ejpam-670	93	16	1 2	CARDINAL
ejpam-670	93	17	∞ ∑ m=0 ω(m)a2	PERSON
ejpam-670	93	18	1 2	CARDINAL
ejpam-670	94	1	3	CARDINAL
ejpam-670	94	2	9	CARDINAL
ejpam-670	95	1	88	CARDINAL
ejpam-670	96	1	2	CARDINAL
ejpam-670	96	2	2	CARDINAL
ejpam-670	96	3	1	CARDINAL
ejpam-670	96	4	2]2	CARDINAL
ejpam-670	97	1	1	CARDINAL
ejpam-670	97	2	2	CARDINAL
ejpam-670	98	1	5 6	CARDINAL
ejpam-670	98	2	2n+ 1)−1	DATE
ejpam-670	99	1	5 6	CARDINAL
ejpam-670	99	2	2n+ 1)−1	DATE
ejpam-670	100	1	5 6	CARDINAL
ejpam-670	100	2	2n+ 1)−1	DATE
ejpam-670	100	3	∑ n=0 b2 n.	PERSON
ejpam-670	100	4	10	CARDINAL
ejpam-670	102	1	1	CARDINAL
ejpam-670	103	1	9	CARDINAL
ejpam-670	103	2	3	CARDINAL
ejpam-670	104	1	n ∈ n	ORG
ejpam-670	104	2	5 6	CARDINAL
ejpam-670	104	3	2n+ 1)−1	DATE
ejpam-670	104	4	1	CARDINAL
ejpam-670	104	5	1 2	CARDINAL
ejpam-670	104	6	5 6	CARDINAL
ejpam-670	104	7	2n+ 1)−1	DATE
ejpam-670	105	1	3	CARDINAL
ejpam-670	105	2	2n+ 1)2	CARDINAL
ejpam-670	106	1	9	CARDINAL
ejpam-670	106	2	4	CARDINAL
ejpam-670	106	3	5	CARDINAL
ejpam-670	107	1	chongqing university of science and technology	ORG
ejpam-670	108	1	1	CARDINAL
ejpam-670	108	2	g. h. hardy	PERSON
ejpam-670	108	3	j. e. littlewood	PERSON
ejpam-670	108	4	g. polya	PERSON
ejpam-670	108	5	cambridge	GPE
ejpam-670	109	1	1952	DATE
ejpam-670	110	1	2	CARDINAL
ejpam-670	110	2	b. yang	PERSON
ejpam-670	110	3	hilbert	ORG
ejpam-670	110	4	huanghuai	PERSON
ejpam-670	110	5	13.2	CARDINAL
ejpam-670	110	6	47-51	CARDINAL
ejpam-670	111	1	3	CARDINAL
ejpam-670	111	2	b. yang	PERSON
ejpam-670	111	3	acta mathematica sinica	PERSON
ejpam-670	111	4	42.6	CARDINAL
ejpam-670	111	5	1103-1110	DATE
ejpam-670	112	1	1999	DATE
ejpam-670	113	1	4	CARDINAL
ejpam-670	113	2	b. yang	PERSON
ejpam-670	113	3	l. debnath	PERSON
ejpam-670	113	4	233	CARDINAL
ejpam-670	113	5	484	CARDINAL
ejpam-670	113	6	1999	DATE
ejpam-670	114	1	5	CARDINAL
ejpam-670	114	2	j. c. kuang	PERSON
ejpam-670	114	3	l. debnath	PERSON
ejpam-670	114	4	hilbert	ORG
ejpam-670	115	1	245	CARDINAL
ejpam-670	115	2	248	CARDINAL