id	sid	eid	entity	type
ejpam-2311	1	1	european journal	ORG
ejpam-2311	2	1	7	CARDINAL
ejpam-2311	2	2	4, 2014	DATE
ejpam-2311	2	3	462	CARDINAL
ejpam-2311	2	4	1307-5543	DATE
ejpam-2311	2	5	ismail gokhan kelebek∗	PERSON
ejpam-2311	2	6	istanbul	GPE
ejpam-2311	2	7	turkey	GPE
ejpam-2311	6	1	c5	GPE
ejpam-2311	6	2	c7	PERSON
ejpam-2311	7	1	2010	DATE
ejpam-2311	7	2	16u60	CARDINAL
ejpam-2311	7	3	16s34	CARDINAL
ejpam-2311	7	4	1	CARDINAL
ejpam-2311	8	1	abelian	NORP
ejpam-2311	8	2	integers z. let u(za	PERSON
ejpam-2311	8	3	za	GPE
ejpam-2311	9	1	higman	PERSON
ejpam-2311	10	1	4	CARDINAL
ejpam-2311	10	2	1	CARDINAL
ejpam-2311	11	1	abelian	NORP
ejpam-2311	12	1	abelian	NORP
ejpam-2311	14	1	ayoub	ORG
ejpam-2311	15	1	2	CARDINAL
ejpam-2311	16	1	2	CARDINAL
ejpam-2311	17	1	abelian	NORP
ejpam-2311	18	1	1 2	CARDINAL
ejpam-2311	18	2	1+ n2	QUANTITY
ejpam-2311	18	3	2l	CARDINAL
ejpam-2311	18	4	1	CARDINAL
ejpam-2311	18	5	2	CARDINAL
ejpam-2311	18	6	a. ∗corresponding	PERSON
ejpam-2311	19	1	gkelebek@fatih.edu.tr	PERSON
ejpam-2311	19	2	i.g. kelebek	GPE
ejpam-2311	20	1	462	CARDINAL
ejpam-2311	21	1	2014	DATE
ejpam-2311	22	1	i.g. kelebek	GPE
ejpam-2311	23	1	j. pure	PERSON
ejpam-2311	23	2	7 (2014	DATE
ejpam-2311	23	3	462	CARDINAL
ejpam-2311	23	4	zc5, zc8	GPE
ejpam-2311	23	5	karpilovsky	PERSON
ejpam-2311	23	6	5	CARDINAL
ejpam-2311	23	7	±	CARDINAL
ejpam-2311	23	8	u(zc8	GPE
ejpam-2311	23	9	±	CARDINAL
ejpam-2311	23	10	2+	CARDINAL
ejpam-2311	24	1	aleev	PERSON
ejpam-2311	25	1	1	CARDINAL
ejpam-2311	25	2	u(zc9	ORG
ejpam-2311	26	1	u(zc9	ORG
ejpam-2311	27	1	±	CARDINAL
ejpam-2311	29	1	a+ a8	PERSON
ejpam-2311	30	1	3	CARDINAL
ejpam-2311	31	1	3+ 2(a+	CARDINAL
ejpam-2311	31	2	2(a5 + a7)− 2a6	QUANTITY
ejpam-2311	33	1	6	CARDINAL
ejpam-2311	34	1	1	CARDINAL
ejpam-2311	36	1	first	ORDINAL
ejpam-2311	38	1	four	CARDINAL
ejpam-2311	39	1	two	CARDINAL
ejpam-2311	39	2	c5	GPE
ejpam-2311	39	3	c7.	ORG
ejpam-2311	40	1	2	CARDINAL
ejpam-2311	40	2	abelian	NORP
ejpam-2311	41	1	1	CARDINAL
ejpam-2311	43	1	7→	CARDINAL
ejpam-2311	43	2	7→	CARDINAL
ejpam-2311	43	3	7→ 1	DATE
ejpam-2311	44	1	〈x	PERSON
ejpam-2311	48	1	i.g. kelebek	ORG
ejpam-2311	49	1	j. pure	PERSON
ejpam-2311	49	2	7 (2014	DATE
ejpam-2311	49	3	462	CARDINAL
ejpam-2311	50	1	z[cn × k4	PERSON
ejpam-2311	53	1	1)p1 + y(x	DATE
ejpam-2311	54	1	1)p3	CARDINAL
ejpam-2311	54	2	1)[p1 +	DATE
ejpam-2311	57	1	1)zcn	CARDINAL
ejpam-2311	58	1	k y	PERSON
ejpam-2311	59	1	k x	PERSON
ejpam-2311	61	1	1)(y	CARDINAL
ejpam-2311	61	2	1)p3	CARDINAL
ejpam-2311	61	3	n x −→ k	PERSON
ejpam-2311	62	1	1)[p1 +	DATE
ejpam-2311	62	2	7→	CARDINAL
ejpam-2311	62	3	1)[p1	CARDINAL
ejpam-2311	62	4	k x y	PERSON
ejpam-2311	63	1	1)[p2	DATE
ejpam-2311	63	2	7→	CARDINAL
ejpam-2311	63	3	1)[p2	DATE
ejpam-2311	65	1	k x y ι −→ n x πy −→	PERSON
ejpam-2311	66	1	↓	CARDINAL
ejpam-2311	68	1	i.g. kelebek	GPE
ejpam-2311	69	1	j. pure	PERSON
ejpam-2311	69	2	7 (2014	DATE
ejpam-2311	69	3	462	CARDINAL
ejpam-2311	69	4	465	CARDINAL
ejpam-2311	69	5	3	CARDINAL
ejpam-2311	74	1	1+ k	QUANTITY
ejpam-2311	75	1	↓	CARDINAL
ejpam-2311	75	2	↓	CARDINAL
ejpam-2311	78	1	1+ n y =(1+ k x y)×	QUANTITY
ejpam-2311	78	2	1+ n	QUANTITY
ejpam-2311	80	1	1+ k	QUANTITY
ejpam-2311	81	1	1+ n x =(	QUANTITY
ejpam-2311	81	2	1+ k x y)×	QUANTITY
ejpam-2311	81	3	1+ k x	QUANTITY
ejpam-2311	81	4	1+ n	QUANTITY
ejpam-2311	82	1	1+ k	QUANTITY
ejpam-2311	83	1	four	CARDINAL
ejpam-2311	83	2	1+ n	QUANTITY
ejpam-2311	86	1	1	CARDINAL
ejpam-2311	87	1	1+ k x	QUANTITY
ejpam-2311	87	2	1+ k y	QUANTITY
ejpam-2311	87	3	1+ k x y	QUANTITY
ejpam-2311	89	1	1+	CARDINAL
ejpam-2311	89	2	1)p	CARDINAL
ejpam-2311	89	3	1− 2p	CARDINAL
ejpam-2311	91	1	1+	DATE
ejpam-2311	91	2	1)p	CARDINAL
ejpam-2311	91	3	1− 2p	CARDINAL
ejpam-2311	93	1	1+	CARDINAL
ejpam-2311	93	2	1)(y	CARDINAL
ejpam-2311	95	1	1)p	CARDINAL
ejpam-2311	95	2	1+ 4p	CARDINAL
ejpam-2311	96	1	i.g. kelebek	PERSON
ejpam-2311	97	1	j. pure	PERSON
ejpam-2311	97	2	7 (2014	DATE
ejpam-2311	97	3	462	CARDINAL
ejpam-2311	98	1	⇔	PERSON
ejpam-2311	98	2	1+(x−1)q	CARDINAL
ejpam-2311	99	1	1	CARDINAL
ejpam-2311	99	2	1⇔[1+	CARDINAL
ejpam-2311	99	3	1)p][1+	DATE
ejpam-2311	99	4	1	CARDINAL
ejpam-2311	100	1	1 ⇔p +q− 2pq	DATE
ejpam-2311	100	2	0	CARDINAL
ejpam-2311	101	1	2p	CARDINAL
ejpam-2311	101	2	2q+	CARDINAL
ejpam-2311	101	3	1 ⇔(1− 2p)(1− 2q	DATE
ejpam-2311	101	4	1 ⇔1− 2p	CARDINAL
ejpam-2311	102	1	1+	DATE
ejpam-2311	102	2	1)p	CARDINAL
ejpam-2311	102	3	1− 2p	CARDINAL
ejpam-2311	103	1	1+ k	QUANTITY
ejpam-2311	103	2	1+	CARDINAL
ejpam-2311	103	3	1)(y	CARDINAL
ejpam-2311	104	1	1)p	CARDINAL
ejpam-2311	104	2	1+ 4p	CARDINAL
ejpam-2311	105	1	modulo m.	PERSON
ejpam-2311	105	2	mm	PERSON
ejpam-2311	105	3	mm	PERSON
ejpam-2311	105	4	mz)cn	PERSON
ejpam-2311	106	1	u1(zcn	ORG
ejpam-2311	106	2	1+mm	CARDINAL
ejpam-2311	107	1	two	CARDINAL
ejpam-2311	107	2	7→	CARDINAL
ejpam-2311	107	3	7→	CARDINAL
ejpam-2311	107	4	7→	CARDINAL
ejpam-2311	107	5	7→	CARDINAL
ejpam-2311	108	1	z[cn × k4	PERSON
ejpam-2311	111	1	k x	PERSON
ejpam-2311	112	1	x−→	CARDINAL
ejpam-2311	112	2	↓	ORG
ejpam-2311	112	3	↓	ORG
ejpam-2311	112	4	↓ m2	QUANTITY
ejpam-2311	112	5	i.g. kelebek	GPE
ejpam-2311	113	1	j. pure	PERSON
ejpam-2311	113	2	7 (2014	DATE
ejpam-2311	113	3	462	CARDINAL
ejpam-2311	113	4	k y ι −→ z[cn×	PERSON
ejpam-2311	114	1	↓	ORG
ejpam-2311	114	2	↓ m2	QUANTITY
ejpam-2311	114	3	↓ m4	QUANTITY
ejpam-2311	115	1	1	CARDINAL
ejpam-2311	117	1	1+ k x −→ 1+m2	QUANTITY
ejpam-2311	118	1	1+ k y −→ 1+m2	QUANTITY
ejpam-2311	118	2	1+ k x y −→ 1+m4	QUANTITY
ejpam-2311	120	1	1+ k x	QUANTITY
ejpam-2311	121	1	↓	ORG
ejpam-2311	121	2	↓	ORG
ejpam-2311	122	1	1+ k x	QUANTITY
ejpam-2311	122	2	1)p	CARDINAL
ejpam-2311	122	3	1− 2p	CARDINAL
ejpam-2311	123	1	1	CARDINAL
ejpam-2311	124	1	∈	ORG
ejpam-2311	124	2	1+	CARDINAL
ejpam-2311	124	3	1)p	CARDINAL
ejpam-2311	124	4	1 ⇔1− 2p= 1	DATE
ejpam-2311	124	5	0	CARDINAL
ejpam-2311	124	6	1	CARDINAL
ejpam-2311	125	1	1+ k x y	QUANTITY
ejpam-2311	125	2	1+m4	TIME
ejpam-2311	126	1	2	CARDINAL
ejpam-2311	128	1	7→p0	CARDINAL
ejpam-2311	130	1	i.g. kelebek	ORG
ejpam-2311	131	1	j. pure	PERSON
ejpam-2311	131	2	7 (2014	DATE
ejpam-2311	131	3	462	CARDINAL
ejpam-2311	131	4	4	CARDINAL
ejpam-2311	131	5	u1(z[c5 × k4	PERSON
ejpam-2311	132	1	1+	CARDINAL
ejpam-2311	132	2	1)p	CARDINAL
ejpam-2311	132	3	1+	CARDINAL
ejpam-2311	132	4	1)p	CARDINAL
ejpam-2311	132	5	1+	CARDINAL
ejpam-2311	132	6	1)(y	CARDINAL
ejpam-2311	132	7	32−	CARDINAL
ejpam-2311	132	8	26(a+	CARDINAL
ejpam-2311	134	1	karpilovsky	PERSON
ejpam-2311	135	1	5	CARDINAL
ejpam-2311	135	2	1	CARDINAL
ejpam-2311	136	1	1+ k	QUANTITY
ejpam-2311	136	2	1+ k x ι −→	QUANTITY
ejpam-2311	136	3	x−→	CARDINAL
ejpam-2311	136	4	↓	ORG
ejpam-2311	136	5	↓	ORG
ejpam-2311	136	6	↓	ORG
ejpam-2311	136	7	ρ2−→	DATE
ejpam-2311	136	8	↑	GPE
ejpam-2311	136	9	↑	GPE
ejpam-2311	136	10	1+m2)∩	CARDINAL
ejpam-2311	137	1	1+	CARDINAL
ejpam-2311	137	2	1+	CARDINAL
ejpam-2311	137	3	1+ a2 + a3	QUANTITY
ejpam-2311	137	4	1	CARDINAL
ejpam-2311	138	1	1+m2)∩	CARDINAL
ejpam-2311	139	1	ρ2(u	TIME
ejpam-2311	140	1	1+ k	QUANTITY
ejpam-2311	140	2	1+	CARDINAL
ejpam-2311	140	3	1)p	CARDINAL
ejpam-2311	142	1	1− 2p	CARDINAL
ejpam-2311	142	2	1− 2p	CARDINAL
ejpam-2311	145	1	second	ORDINAL
ejpam-2311	145	2	1)[4−	CARDINAL
ejpam-2311	147	1	2	CARDINAL
ejpam-2311	147	2	third	ORDINAL
ejpam-2311	147	3	1+	CARDINAL
ejpam-2311	148	1	1+ k x y	QUANTITY
ejpam-2311	148	2	1+ k x y ι −→ 1+ n	QUANTITY
ejpam-2311	148	3	↓	CARDINAL
ejpam-2311	148	4	↓	ORG
ejpam-2311	149	1	↑	NORP
ejpam-2311	149	2	↑	GPE
ejpam-2311	149	3	1+m4)∩	CARDINAL
ejpam-2311	151	1	1+m4)∩	CARDINAL
ejpam-2311	152	1	∈	ORG
ejpam-2311	154	1	i.g. kelebek	PERSON
ejpam-2311	155	1	j. pure	PERSON
ejpam-2311	155	2	7 (2014	DATE
ejpam-2311	155	3	462	CARDINAL
ejpam-2311	155	4	1+	CARDINAL
ejpam-2311	155	5	1)(y	CARDINAL
ejpam-2311	157	1	1+ 4q	DATE
ejpam-2311	157	2	1+ 4q	CARDINAL
ejpam-2311	158	1	32−	CARDINAL
ejpam-2311	158	2	26(a+	CARDINAL
ejpam-2311	161	1	1)(y	CARDINAL
ejpam-2311	161	2	1)[32−	CARDINAL
ejpam-2311	161	3	26(a+	CARDINAL
ejpam-2311	163	1	5	CARDINAL
ejpam-2311	164	1	1+	CARDINAL
ejpam-2311	164	2	1)p1	CARDINAL
ejpam-2311	164	3	1+	CARDINAL
ejpam-2311	164	4	1)p2	CARDINAL
ejpam-2311	164	5	1+	CARDINAL
ejpam-2311	164	6	1)p1	CARDINAL
ejpam-2311	164	7	1+	CARDINAL
ejpam-2311	164	8	1)p2	CARDINAL
ejpam-2311	164	9	1+	CARDINAL
ejpam-2311	164	10	1)(y	CARDINAL
ejpam-2311	164	11	1+	CARDINAL
ejpam-2311	164	12	1)(y −	DATE
ejpam-2311	165	1	1)q2	CARDINAL
ejpam-2311	165	2	1+	DATE
ejpam-2311	165	3	a+ a6	PERSON
ejpam-2311	165	4	1+	DATE
ejpam-2311	165	5	4+	DATE
ejpam-2311	165	6	a+ a6	ORG
ejpam-2311	166	1	3(a3 + a4	DATE
ejpam-2311	166	2	3(a2 + a5	DATE
ejpam-2311	166	3	72−	CARDINAL
ejpam-2311	166	4	40−	CARDINAL
ejpam-2311	167	1	+ a4	GPE
ejpam-2311	170	1	1	CARDINAL
ejpam-2311	172	1	1	CARDINAL
ejpam-2311	174	1	+ 2a5	PERSON
ejpam-2311	174	2	+ 2a5	PERSON
ejpam-2311	175	1	a6,−1+ a2 + a5	ORG
ejpam-2311	176	1	a+ a6	PERSON
ejpam-2311	177	1	1+ k x	QUANTITY
ejpam-2311	178	1	1+ k x	QUANTITY
ejpam-2311	179	1	↓	ORG
ejpam-2311	179	2	↓	ORG
ejpam-2311	179	3	↓	ORG
ejpam-2311	179	4	↑	GPE
ejpam-2311	179	5	↑	GPE
ejpam-2311	179	6	1+m2)∩	CARDINAL
ejpam-2311	179	7	i.g. kelebek	GPE
ejpam-2311	180	1	j. pure	PERSON
ejpam-2311	180	2	7 (2014	DATE
ejpam-2311	180	3	462	CARDINAL
ejpam-2311	180	4	1+	QUANTITY
ejpam-2311	181	1	1+	CARDINAL
ejpam-2311	181	2	1	CARDINAL
ejpam-2311	181	3	1+	CARDINAL
ejpam-2311	181	4	a6)3(1+ a2 +	ORG
ejpam-2311	181	5	1	CARDINAL
ejpam-2311	181	6	1+m2)∩	CARDINAL
ejpam-2311	182	1	2	CARDINAL
ejpam-2311	184	1	1+ k	QUANTITY
ejpam-2311	184	2	1+	CARDINAL
ejpam-2311	184	3	1)p	CARDINAL
ejpam-2311	186	1	1− 2p	CARDINAL
ejpam-2311	186	2	1− 2p1	QUANTITY
ejpam-2311	186	3	2	CARDINAL
ejpam-2311	187	1	1 v2 2	QUANTITY
ejpam-2311	187	2	a+ a6	ORG
ejpam-2311	188	1	3(a3 + a4	DATE
ejpam-2311	188	2	3(a2 + a5	DATE
ejpam-2311	190	1	1+ k	QUANTITY
ejpam-2311	190	2	1+	CARDINAL
ejpam-2311	190	3	1)p1	CARDINAL
ejpam-2311	190	4	1+	CARDINAL
ejpam-2311	190	5	1)p2	CARDINAL
ejpam-2311	191	1	2	CARDINAL
ejpam-2311	193	1	1+k	CARDINAL
ejpam-2311	193	2	1+ k x y ι −→ 1+ n	QUANTITY
ejpam-2311	193	3	↓	CARDINAL
ejpam-2311	193	4	↓	ORG
ejpam-2311	193	5	↑	GPE
ejpam-2311	193	6	↑	GPE
ejpam-2311	193	7	1+m4)∩	CARDINAL
ejpam-2311	194	1	a6,−1+ a2 + a5	ORG
ejpam-2311	195	1	1	CARDINAL
ejpam-2311	195	2	1	CARDINAL
ejpam-2311	196	1	2	CARDINAL
ejpam-2311	196	2	2	CARDINAL
ejpam-2311	197	1	1+	CARDINAL
ejpam-2311	197	2	1)(y	CARDINAL
ejpam-2311	197	3	∈ zc7	ORG
ejpam-2311	199	1	1+ 4q	DATE
ejpam-2311	199	2	1+ 4q1	DATE
ejpam-2311	199	3	1	CARDINAL
ejpam-2311	199	4	2 1+ 4q2	DATE
ejpam-2311	199	5	1	CARDINAL
ejpam-2311	199	6	2	CARDINAL
ejpam-2311	199	7	72−	CARDINAL
ejpam-2311	200	1	40−	CARDINAL
ejpam-2311	202	1	+ a4	GPE
ejpam-2311	203	1	1+ k	QUANTITY
ejpam-2311	203	2	1+	CARDINAL
ejpam-2311	203	3	1)(y	CARDINAL
ejpam-2311	203	4	1)q1	CARDINAL
ejpam-2311	203	5	1+	CARDINAL
ejpam-2311	203	6	1)(y	CARDINAL
ejpam-2311	204	1	1)q2	CARDINAL
ejpam-2311	205	1	471	CARDINAL
ejpam-2311	205	2	1	CARDINAL
ejpam-2311	207	1	7	CARDINAL
ejpam-2311	207	2	9	CARDINAL
ejpam-2311	207	3	izvestiya	ORG
ejpam-2311	208	1	11:81–84, 1999	DATE
ejpam-2311	209	1	2	CARDINAL
ejpam-2311	210	1	abelian	NORP
ejpam-2311	211	1	australian	NORP
ejpam-2311	211	2	1969	DATE
ejpam-2311	212	1	3	CARDINAL
ejpam-2311	214	1	14:531–535, 2004	DATE
ejpam-2311	215	1	4	CARDINAL
ejpam-2311	217	1	london	GPE
ejpam-2311	217	2	46(2	CARDINAL
ejpam-2311	217	3	1940	DATE
ejpam-2311	218	1	5	CARDINAL
ejpam-2311	218	2	g karpilovsky	PERSON
ejpam-2311	219	1	commutative group	ORG
ejpam-2311	219	2	marcel dekker	PERSON
ejpam-2311	219	3	new york	GPE
ejpam-2311	219	4	1983	DATE
ejpam-2311	220	1	6	CARDINAL
ejpam-2311	222	1	2008	DATE