id	sid	eid	entity	type
ejpam-3153	1	1	european journal	ORG
ejpam-3153	2	1	11	CARDINAL
ejpam-3153	2	2	1, 2018	DATE
ejpam-3153	2	3	69	CARDINAL
ejpam-3153	2	4	1307-5543	CARDINAL
ejpam-3153	2	5	new york	GPE
ejpam-3153	2	6	chang liu1,∗	PERSON
ejpam-3153	2	7	wuyungaowa1 1	FAC
ejpam-3153	2	8	inner mongolia university	ORG
ejpam-3153	2	9	hohhot	GPE
ejpam-3153	2	10	inner mongolia	GPE
ejpam-3153	2	11	p.r.china	GPE
ejpam-3153	4	1	second	ORDINAL
ejpam-3153	4	2	first	ORDINAL
ejpam-3153	5	1	2010	DATE
ejpam-3153	5	2	11b68	CARDINAL
ejpam-3153	5	3	60e07	CARDINAL
ejpam-3153	5	4	11b83	CARDINAL
ejpam-3153	5	5	62e15	CARDINAL
ejpam-3153	7	1	1	CARDINAL
ejpam-3153	7	2	1	CARDINAL
ejpam-3153	7	3	2	DATE
ejpam-3153	7	4	3	DATE
ejpam-3153	7	5	0	CARDINAL
ejpam-3153	7	6	1	DATE
ejpam-3153	7	7	2	DATE
ejpam-3153	10	1	1	CARDINAL
ejpam-3153	10	2	ξ(0	GPE
ejpam-3153	10	3	1	CARDINAL
ejpam-3153	11	1	d̂	GPE
ejpam-3153	11	2	second	ORDINAL
ejpam-3153	12	1	(c. liu	PERSON
ejpam-3153	14	1	69	CARDINAL
ejpam-3153	15	1	2018	DATE
ejpam-3153	16	1	c. liu	PERSON
ejpam-3153	16	2	wuyungaowa	PERSON
ejpam-3153	17	1	j. pure	PERSON
ejpam-3153	17	2	11	CARDINAL
ejpam-3153	17	3	1	CARDINAL
ejpam-3153	17	4	2018	DATE
ejpam-3153	17	5	69	CARDINAL
ejpam-3153	18	1	2	CARDINAL
ejpam-3153	18	2	0	CARDINAL
ejpam-3153	18	3	ξ(0	GPE
ejpam-3153	18	4	second	ORDINAL
ejpam-3153	19	1	d̂	GPE
ejpam-3153	19	2	second	ORDINAL
ejpam-3153	19	3	second	ORDINAL
ejpam-3153	19	4	1	CARDINAL
ejpam-3153	19	5	second	ORDINAL
ejpam-3153	20	1	2 2 +	DATE
ejpam-3153	20	2	r(1	ORG
ejpam-3153	21	1	n=0 ch(r	PERSON
ejpam-3153	22	1	3	CARDINAL
ejpam-3153	23	1	second	ORDINAL
ejpam-3153	23	2	2 2 +	DATE
ejpam-3153	23	3	r(1	ORG
ejpam-3153	26	1	4	CARDINAL
ejpam-3153	26	2	second	ORDINAL
ejpam-3153	27	1	1	CARDINAL
ejpam-3153	28	1	∞∑	PERSON
ejpam-3153	29	1	∞∑	PERSON
ejpam-3153	30	1	fg	ORG
ejpam-3153	32	1	2	CARDINAL
ejpam-3153	35	1	p(x	PERSON
ejpam-3153	36	1	f(x	ORG
ejpam-3153	36	2	x.	EVENT
ejpam-3153	36	3	r.v u ∼ u	GPE
ejpam-3153	36	4	0	CARDINAL
ejpam-3153	36	5	1	CARDINAL
ejpam-3153	36	6	1	CARDINAL
ejpam-3153	36	7	c. liu	PERSON
ejpam-3153	36	8	wuyungaowa	PERSON
ejpam-3153	37	1	j. pure	PERSON
ejpam-3153	37	2	11	CARDINAL
ejpam-3153	37	3	1	CARDINAL
ejpam-3153	37	4	2018	DATE
ejpam-3153	37	5	69	CARDINAL
ejpam-3153	37	6	1	CARDINAL
ejpam-3153	38	1	1	CARDINAL
ejpam-3153	39	1	ϕ(t	ORG
ejpam-3153	40	1	5	CARDINAL
ejpam-3153	41	1	ϕ(t	PERSON
ejpam-3153	41	2	−1	DATE
ejpam-3153	42	1	6	CARDINAL
ejpam-3153	42	2	3	CARDINAL
ejpam-3153	43	1	5	CARDINAL
ejpam-3153	43	2	0	CARDINAL
ejpam-3153	43	3	ϕ(t	PERSON
ejpam-3153	44	1	1−	ORDINAL
ejpam-3153	45	1	7	CARDINAL
ejpam-3153	45	2	4	CARDINAL
ejpam-3153	47	1	two	CARDINAL
ejpam-3153	47	2	cov(x	ORG
ejpam-3153	47	3	cov(x	ORG
ejpam-3153	47	4	three	CARDINAL
ejpam-3153	48	1	1	CARDINAL
ejpam-3153	49	1	6	CARDINAL
ejpam-3153	49	2	γ(u	PRODUCT
ejpam-3153	49	3	1	CARDINAL
ejpam-3153	49	4	u ∼ u	ORG
ejpam-3153	49	5	0	CARDINAL
ejpam-3153	49	6	1	CARDINAL
ejpam-3153	49	7	second	ORDINAL
ejpam-3153	49	8	ĉn	NORP
ejpam-3153	50	1	1 + x	QUANTITY
ejpam-3153	51	1	ĉn	NORP
ejpam-3153	51	2	0	CARDINAL
ejpam-3153	52	1	9	CARDINAL
ejpam-3153	52	2	2	CARDINAL
ejpam-3153	53	1	6	CARDINAL
ejpam-3153	53	2	1	CARDINAL
ejpam-3153	54	1	∑n k=0	PERSON
ejpam-3153	54	2	−1)k k	PERSON
ejpam-3153	54	3	0	CARDINAL
ejpam-3153	55	1	10	CARDINAL
ejpam-3153	55	2	3	CARDINAL
ejpam-3153	56	1	6	CARDINAL
ejpam-3153	56	2	0	CARDINAL
ejpam-3153	56	3	1	CARDINAL
ejpam-3153	56	4	1	CARDINAL
ejpam-3153	56	5	r.v ui	GPE
ejpam-3153	56	6	j. when n	PERSON
ejpam-3153	56	7	first	ORDINAL
ejpam-3153	56	8	s(n	ORG
ejpam-3153	58	1	11	CARDINAL
ejpam-3153	58	2	s(n,0)=s(0,k)=0	PERSON
ejpam-3153	58	3	c. liu	PERSON
ejpam-3153	58	4	wuyungaowa	PERSON
ejpam-3153	59	1	j. pure	PERSON
ejpam-3153	59	2	11	CARDINAL
ejpam-3153	59	3	1	CARDINAL
ejpam-3153	59	4	2018	DATE
ejpam-3153	59	5	69	CARDINAL
ejpam-3153	60	1	about two	CARDINAL
ejpam-3153	60	2	two	CARDINAL
ejpam-3153	61	1	1	CARDINAL
ejpam-3153	61	2	0	CARDINAL
ejpam-3153	61	3	1	CARDINAL
ejpam-3153	61	4	1	CARDINAL
ejpam-3153	61	5	r.v ui	PERSON
ejpam-3153	62	1	m− k ∈ z>0	PERSON
ejpam-3153	62	2	k ∈ n	ORG
ejpam-3153	63	1	12	CARDINAL
ejpam-3153	65	1	13	CARDINAL
ejpam-3153	66	1	∞∑ n=0	PERSON
ejpam-3153	68	1	k	PERSON
ejpam-3153	68	2	14	CARDINAL
ejpam-3153	73	1	15	CARDINAL
ejpam-3153	76	1	n=0 1 n	DATE
ejpam-3153	76	2	∑ i1+···+ik=n	PERSON
ejpam-3153	76	3	ik	PERSON
ejpam-3153	78	1	n=0 1 n	DATE
ejpam-3153	78	2	∑ i1+···+ik=n	PERSON
ejpam-3153	78	3	ik	PERSON
ejpam-3153	79	1	n=0	DATE
ejpam-3153	80	1	ik	PERSON
ejpam-3153	82	1	n=0	DATE
ejpam-3153	84	1	16	CARDINAL
ejpam-3153	86	1	n. c. liu	PERSON
ejpam-3153	86	2	wuyungaowa	PERSON
ejpam-3153	87	1	j. pure	PERSON
ejpam-3153	87	2	11	CARDINAL
ejpam-3153	87	3	1	CARDINAL
ejpam-3153	87	4	2018	DATE
ejpam-3153	87	5	69	CARDINAL
ejpam-3153	87	6	6	CARDINAL
ejpam-3153	89	1	17	CARDINAL
ejpam-3153	89	2	1	CARDINAL
ejpam-3153	89	3	1	CARDINAL
ejpam-3153	89	4	1	CARDINAL
ejpam-3153	89	5	18	CARDINAL
ejpam-3153	89	6	2	CARDINAL
ejpam-3153	89	7	1	CARDINAL
ejpam-3153	89	8	1	CARDINAL
ejpam-3153	90	1	19	CARDINAL
ejpam-3153	90	2	3	CARDINAL
ejpam-3153	91	1	theorem1	EVENT
ejpam-3153	92	1	1	CARDINAL
ejpam-3153	92	2	−1)ne(uγ)n	NORP
ejpam-3153	93	1	20	CARDINAL
ejpam-3153	93	2	2	CARDINAL
ejpam-3153	93	3	r.v u ∼ u	GPE
ejpam-3153	93	4	0	CARDINAL
ejpam-3153	93	5	1	CARDINAL
ejpam-3153	93	6	1	CARDINAL
ejpam-3153	93	7	r.v u	GPE
ejpam-3153	93	8	second	ORDINAL
ejpam-3153	95	1	21	CARDINAL
ejpam-3153	96	1	d̂	GPE
ejpam-3153	97	1	22	CARDINAL
ejpam-3153	97	2	1	CARDINAL
ejpam-3153	98	1	n=0	PERSON
ejpam-3153	99	1	∞∑ n=0	PERSON
ejpam-3153	101	1	i(k)n−iξ	DATE
ejpam-3153	102	1	k − n+ 1	PERSON
ejpam-3153	103	1	2	CARDINAL
ejpam-3153	104	1	c. liu	PERSON
ejpam-3153	104	2	wuyungaowa	PERSON
ejpam-3153	105	1	j. pure	PERSON
ejpam-3153	105	2	11	CARDINAL
ejpam-3153	105	3	1	CARDINAL
ejpam-3153	105	4	2018	DATE
ejpam-3153	105	5	69	CARDINAL
ejpam-3153	105	6	78 74	CARDINAL
ejpam-3153	105	7	4	CARDINAL
ejpam-3153	105	8	2	CARDINAL
ejpam-3153	105	9	1	CARDINAL
ejpam-3153	105	10	1	CARDINAL
ejpam-3153	105	11	second	ORDINAL
ejpam-3153	105	12	1	CARDINAL
ejpam-3153	105	13	1	CARDINAL
ejpam-3153	105	14	23	CARDINAL
ejpam-3153	105	15	5	CARDINAL
ejpam-3153	105	16	2	CARDINAL
ejpam-3153	105	17	4	CARDINAL
ejpam-3153	105	18	1	CARDINAL
ejpam-3153	106	1	24	CARDINAL
ejpam-3153	106	2	3	CARDINAL
ejpam-3153	107	1	1	CARDINAL
ejpam-3153	107	2	representation3	PERSON
ejpam-3153	110	1	25	CARDINAL
ejpam-3153	111	1	3	CARDINAL
ejpam-3153	111	2	one	CARDINAL
ejpam-3153	111	3	2	CARDINAL
ejpam-3153	111	4	4	CARDINAL
ejpam-3153	111	5	0	CARDINAL
ejpam-3153	111	6	1	CARDINAL
ejpam-3153	111	7	1	CARDINAL
ejpam-3153	111	8	1	CARDINAL
ejpam-3153	111	9	0	CARDINAL
ejpam-3153	111	10	r.v ui	GPE
ejpam-3153	113	1	26	CARDINAL
ejpam-3153	114	1	−it	ORG
ejpam-3153	114	2	3	CARDINAL
ejpam-3153	114	3	4	DATE
ejpam-3153	115	1	k(1−	TIME
ejpam-3153	115	2	ξit)−(−x	PERSON
ejpam-3153	117	1	n=0	PERSON
ejpam-3153	121	1	∞∑ n=0	PERSON
ejpam-3153	122	1	itn	ORG
ejpam-3153	123	1	4	CARDINAL
ejpam-3153	123	2	5	CARDINAL
ejpam-3153	123	3	r.v u ∼ u	GPE
ejpam-3153	123	4	0	CARDINAL
ejpam-3153	123	5	1	CARDINAL
ejpam-3153	123	6	1	CARDINAL
ejpam-3153	123	7	r.v u	GPE
ejpam-3153	123	8	second	ORDINAL
ejpam-3153	127	1	27	CARDINAL
ejpam-3153	127	2	c. liu	PERSON
ejpam-3153	127	3	wuyungaowa	PERSON
ejpam-3153	128	1	j. pure	PERSON
ejpam-3153	128	2	11	CARDINAL
ejpam-3153	128	3	1	CARDINAL
ejpam-3153	128	4	2018	DATE
ejpam-3153	128	5	69	CARDINAL
ejpam-3153	129	1	5	CARDINAL
ejpam-3153	129	2	2	CARDINAL
ejpam-3153	129	3	6	CARDINAL
ejpam-3153	129	4	0	CARDINAL
ejpam-3153	129	5	1	CARDINAL
ejpam-3153	129	6	1	CARDINAL
ejpam-3153	130	1	1	CARDINAL
ejpam-3153	130	2	0	CARDINAL
ejpam-3153	130	3	r.v ui	GPE
ejpam-3153	130	4	second	ORDINAL
ejpam-3153	130	5	d̂	GPE
ejpam-3153	130	6	d̂	GPE
ejpam-3153	132	1	28	CARDINAL
ejpam-3153	133	1	6	CARDINAL
ejpam-3153	133	2	one	CARDINAL
ejpam-3153	133	3	4	CARDINAL
ejpam-3153	133	4	7	CARDINAL
ejpam-3153	133	5	γ[r	CARDINAL
ejpam-3153	133	6	2	CARDINAL
ejpam-3153	134	1	−1)nexn	PERSON
ejpam-3153	135	1	29	CARDINAL
ejpam-3153	136	1	−it	ORG
ejpam-3153	136	2	−1	DATE
ejpam-3153	136	3	2 2−	DATE
ejpam-3153	137	1	n=0 ch(r	PERSON
ejpam-3153	137	2	30	CARDINAL
ejpam-3153	137	3	31	CARDINAL
ejpam-3153	138	1	∞∑ n=0	PERSON
ejpam-3153	139	1	7	CARDINAL
ejpam-3153	140	1	8	CARDINAL
ejpam-3153	141	1	7	CARDINAL
ejpam-3153	141	2	second	ORDINAL
ejpam-3153	142	1	n∑ k=0	PERSON
ejpam-3153	143	1	32	CARDINAL
ejpam-3153	144	1	∞∑ n=0 ĉh(r	PERSON
ejpam-3153	145	1	2 2 +	DATE
ejpam-3153	145	2	r(1	ORG
ejpam-3153	147	1	∞∑ n=0	PERSON
ejpam-3153	148	1	∞∑ n=0	PERSON
ejpam-3153	148	2	c. liu	PERSON
ejpam-3153	148	3	wuyungaowa	PERSON
ejpam-3153	149	1	j. pure	PERSON
ejpam-3153	149	2	11	CARDINAL
ejpam-3153	149	3	1	CARDINAL
ejpam-3153	149	4	2018	DATE
ejpam-3153	149	5	69	CARDINAL
ejpam-3153	150	1	n=0 n∑ k=0	PERSON
ejpam-3153	150	2	r)n−k tn n!	ORG
ejpam-3153	151	1	8	CARDINAL
ejpam-3153	152	1	6	CARDINAL
ejpam-3153	153	1	8	CARDINAL
ejpam-3153	153	2	second	ORDINAL
ejpam-3153	154	1	n∑ k=0	PERSON
ejpam-3153	154	2	33	CARDINAL
ejpam-3153	156	1	2	CARDINAL
ejpam-3153	156	2	2	CARDINAL
ejpam-3153	156	3	r(1	ORG
ejpam-3153	157	1	34	CARDINAL
ejpam-3153	157	2	8	CARDINAL
ejpam-3153	159	1	n∑ k=0	PERSON
ejpam-3153	159	2	−1)k(x)n−kex	NORP
ejpam-3153	159	3	35	CARDINAL
ejpam-3153	159	4	3	CARDINAL
ejpam-3153	160	1	second	ORDINAL
ejpam-3153	160	2	ĉn	NORP
ejpam-3153	160	3	first	ORDINAL
ejpam-3153	161	1	9	CARDINAL
ejpam-3153	162	1	r.v u ∼	GPE
ejpam-3153	162	2	0	CARDINAL
ejpam-3153	162	3	1	CARDINAL
ejpam-3153	162	4	1	CARDINAL
ejpam-3153	162	5	γ(u	PRODUCT
ejpam-3153	162	6	1	CARDINAL
ejpam-3153	162	7	second	ORDINAL
ejpam-3153	162	8	ĉn	NORP
ejpam-3153	163	1	n∑ k=0	PERSON
ejpam-3153	163	2	n∑ k=0	PERSON
ejpam-3153	163	3	0	CARDINAL
ejpam-3153	164	1	36	CARDINAL
ejpam-3153	165	1	n∑ k=0	PERSON
ejpam-3153	166	1	n∑ k=0	PERSON
ejpam-3153	166	2	c. liu	PERSON
ejpam-3153	166	3	wuyungaowa	PERSON
ejpam-3153	167	1	j. pure	PERSON
ejpam-3153	167	2	11	CARDINAL
ejpam-3153	167	3	1	CARDINAL
ejpam-3153	167	4	2018	DATE
ejpam-3153	167	5	69	CARDINAL
ejpam-3153	167	6	n∑ k=0	PERSON
ejpam-3153	167	7	37	CARDINAL
ejpam-3153	168	1	it)n	ORG
ejpam-3153	170	1	∞∑ n=0	PERSON
ejpam-3153	171	1	−it −it	ORG
ejpam-3153	171	2	1−	TIME
ejpam-3153	173	1	n=0	DATE
ejpam-3153	173	2	38	CARDINAL
ejpam-3153	173	3	eq.(38	GPE
ejpam-3153	173	4	e(γ− 1 + 1)n	DATE
ejpam-3153	173	5	n∑ k=0	PERSON
ejpam-3153	173	6	e(γ− 1)k	DATE
ejpam-3153	173	7	n∑ k=0	PERSON
ejpam-3153	174	1	39	CARDINAL
ejpam-3153	175	1	9	CARDINAL
ejpam-3153	176	1	10	CARDINAL
ejpam-3153	177	1	first	ORDINAL
ejpam-3153	177	2	d(k	GPE
ejpam-3153	179	1	n+k k	PERSON
ejpam-3153	180	1	40	CARDINAL
ejpam-3153	181	1	1	CARDINAL
ejpam-3153	181	2	3	CARDINAL
ejpam-3153	181	3	∞∑ n=0 d(k	PERSON
ejpam-3153	183	1	∞∑ n=0	PERSON
ejpam-3153	184	1	∞∑ n=0	PERSON
ejpam-3153	184	2	k k	PERSON
ejpam-3153	187	1	∞∑ n=0 s(n+ k	PERSON
ejpam-3153	187	2	n+k k	PERSON
ejpam-3153	189	1	78	CARDINAL
ejpam-3153	189	2	the natural science foundation of china under	ORG
ejpam-3153	189	3	11461050	DATE
ejpam-3153	189	4	inner mongolia	LOC
ejpam-3153	189	5	2016ms0104	CARDINAL
ejpam-3153	189	6	1	CARDINAL
ejpam-3153	189	7	ds kim	PERSON
ejpam-3153	189	8	t kim	PERSON
ejpam-3153	189	9	lee	PERSON
ejpam-3153	191	1	adv.	ORG
ejpam-3153	193	1	phys.	PERSON
ejpam-3153	193	2	8(8):365–373, 2014	DATE
ejpam-3153	194	1	2	CARDINAL
ejpam-3153	194	2	lee ds kim	PERSON
ejpam-3153	194	3	t kim	PERSON
ejpam-3153	196	1	mathmetical sciences	PERSON
ejpam-3153	196	2	2013	DATE
ejpam-3153	197	1	3	CARDINAL
ejpam-3153	197	2	lee ds kim	PERSON
ejpam-3153	197	3	t kim	PERSON
ejpam-3153	201	1	8(6):273–283,	DATE
ejpam-3153	201	2	2014	DATE
ejpam-3153	202	1	4	CARDINAL
ejpam-3153	202	2	ds kim	PERSON
ejpam-3153	202	3	t kim	PERSON
ejpam-3153	204	1	mathmetical sciences	PERSON
ejpam-3153	204	2	7(120):5969–5976	ORG
ejpam-3153	204	3	2013	DATE
ejpam-3153	205	1	5	CARDINAL
ejpam-3153	206	1	chracteristic function	ORG
ejpam-3153	207	1	charles griffin	PERSON
ejpam-3153	207	2	london	GPE
ejpam-3153	207	3	1960	DATE
ejpam-3153	208	1	6	CARDINAL
ejpam-3153	208	2	t wang	GPE
ejpam-3153	210	1	acta mathematica	PERSON
ejpam-3153	210	2	chinese	NORP
ejpam-3153	210	3	41(2):281–290	DATE
ejpam-3153	210	4	1998	DATE
ejpam-3153	211	1	7	CARDINAL
ejpam-3153	211	2	hs wilf	PERSON
ejpam-3153	213	1	new york	GPE
ejpam-3153	213	2	1990	DATE