id	sid	eid	entity	type
ejpam-1857	1	1	european journal	ORG
ejpam-1857	2	1	7	CARDINAL
ejpam-1857	2	2	2, 2014	DATE
ejpam-1857	2	3	131	CARDINAL
ejpam-1857	2	4	1307-5543	CARDINAL
ejpam-1857	2	5	kamran nabardi∗ department	ORG
ejpam-1857	2	6	shahid madani university	PERSON
ejpam-1857	2	7	tabriz	GPE
ejpam-1857	2	8	iran	GPE
ejpam-1857	5	1	first	ORDINAL
ejpam-1857	6	1	2	CARDINAL
ejpam-1857	7	1	2010	DATE
ejpam-1857	7	2	11g05	CARDINAL
ejpam-1857	7	3	14h52	DATE
ejpam-1857	7	4	14g05	CARDINAL
ejpam-1857	7	5	pythagorean	ORG
ejpam-1857	7	6	1	CARDINAL
ejpam-1857	7	7	2	CARDINAL
ejpam-1857	7	8	3 + ax 2 + bx +	QUANTITY
ejpam-1857	7	9	∈q	ORG
ejpam-1857	7	10	1	CARDINAL
ejpam-1857	7	11	3 + ax 2 + bx +	QUANTITY
ejpam-1857	8	1	mordell	PERSON
ejpam-1857	8	2	abelian	NORP
ejpam-1857	8	3	e(q	ORG
ejpam-1857	9	1	2	CARDINAL
ejpam-1857	10	1	abelian	NORP
ejpam-1857	10	2	e(q	ORG
ejpam-1857	10	3	e(q	ORG
ejpam-1857	10	4	zr × e(q)tors	ORG
ejpam-1857	10	5	abelian	NORP
ejpam-1857	11	1	1976	DATE
ejpam-1857	11	2	barry mazur	PERSON
ejpam-1857	11	3	4	CARDINAL
ejpam-1857	12	1	15	CARDINAL
ejpam-1857	13	1	q. ¨	PERSON
ejpam-1857	14	1	1,2	CARDINAL
ejpam-1857	14	2	3	CARDINAL
ejpam-1857	16	1	10	CARDINAL
ejpam-1857	16	2	12	DATE
ejpam-1857	16	3	6,8	CARDINAL
ejpam-1857	17	1	2	CARDINAL
ejpam-1857	17	2	e(q	ORG
ejpam-1857	17	3	11	CARDINAL
ejpam-1857	17	4	13	CARDINAL
ejpam-1857	19	1	f. izadi	PERSON
ejpam-1857	19	2	k. nabardi	PERSON
ejpam-1857	20	1	131	CARDINAL
ejpam-1857	21	1	2014	DATE
ejpam-1857	22	1	f. izadi	PERSON
ejpam-1857	22	2	k. nabardi	PERSON
ejpam-1857	23	1	j. pure	PERSON
ejpam-1857	23	2	7 (2014	DATE
ejpam-1857	23	3	131	CARDINAL
ejpam-1857	24	1	28	CARDINAL
ejpam-1857	24	2	may 2006	DATE
ejpam-1857	25	1	first	ORDINAL
ejpam-1857	27	1	section 2	LAW
ejpam-1857	29	1	1	CARDINAL
ejpam-1857	29	2	5	CARDINAL
ejpam-1857	30	1	section 3	LAW
ejpam-1857	30	2	2	CARDINAL
ejpam-1857	32	1	section 4	LAW
ejpam-1857	32	2	1	CARDINAL
ejpam-1857	32	3	2	CARDINAL
ejpam-1857	32	4	+ 1	DATE
ejpam-1857	32	5	2	CARDINAL
ejpam-1857	33	1	4	CARDINAL
ejpam-1857	33	2	6	CARDINAL
ejpam-1857	33	3	1	CARDINAL
ejpam-1857	34	1	sc	GPE
ejpam-1857	40	1	3	CARDINAL
ejpam-1857	41	1	2	CARDINAL
ejpam-1857	41	2	nonzero integers	ORG
ejpam-1857	42	1	− j2	PERSON
ejpam-1857	42	2	2i	CARDINAL
ejpam-1857	42	3	+ j2	PERSON
ejpam-1857	42	4	4	CARDINAL
ejpam-1857	43	1	1	CARDINAL
ejpam-1857	45	1	5	CARDINAL
ejpam-1857	46	1	f. izadi	PERSON
ejpam-1857	46	2	k. nabardi	PERSON
ejpam-1857	47	1	j. pure	PERSON
ejpam-1857	47	2	7 (2014	DATE
ejpam-1857	47	3	131	CARDINAL
ejpam-1857	47	4	133	CARDINAL
ejpam-1857	47	5	1	CARDINAL
ejpam-1857	50	1	2	CARDINAL
ejpam-1857	52	1	10	CARDINAL
ejpam-1857	53	1	2	CARDINAL
ejpam-1857	54	1	5	CARDINAL
ejpam-1857	54	2	three	CARDINAL
ejpam-1857	54	3	2	CARDINAL
ejpam-1857	56	1	0,0	CARDINAL
ejpam-1857	56	2	a2	ORG
ejpam-1857	56	3	0	DATE
ejpam-1857	56	4	2	CARDINAL
ejpam-1857	58	1	5	CARDINAL
ejpam-1857	59	1	4	CARDINAL
ejpam-1857	59	2	6	DATE
ejpam-1857	59	3	8	CARDINAL
ejpam-1857	60	1	4	CARDINAL
ejpam-1857	60	2	1	CARDINAL
ejpam-1857	62	1	− γ	PERSON
ejpam-1857	63	1	2	CARDINAL
ejpam-1857	64	1	2(x	CARDINAL
ejpam-1857	69	1	2	CARDINAL
ejpam-1857	69	2	4.1	CARDINAL
ejpam-1857	69	3	37	CARDINAL
ejpam-1857	71	1	1	CARDINAL
ejpam-1857	72	1	5	CARDINAL
ejpam-1857	72	2	4	CARDINAL
ejpam-1857	74	1	4p	CARDINAL
ejpam-1857	76	1	one	CARDINAL
ejpam-1857	76	2	2p	CARDINAL
ejpam-1857	76	3	0,0	CARDINAL
ejpam-1857	76	4	2p	CARDINAL
ejpam-1857	76	5	a2	ORG
ejpam-1857	76	6	0	CARDINAL
ejpam-1857	76	7	2p	CARDINAL
ejpam-1857	77	1	2p	CARDINAL
ejpam-1857	77	2	0	CARDINAL
ejpam-1857	77	3	0	DATE
ejpam-1857	77	4	−a2	ORG
ejpam-1857	78	1	2p	CARDINAL
ejpam-1857	78	2	a2	ORG
ejpam-1857	78	3	0	DATE
ejpam-1857	81	1	2−1=	CARDINAL
ejpam-1857	82	1	2	CARDINAL
ejpam-1857	82	2	2	CARDINAL
ejpam-1857	83	1	2	CARDINAL
ejpam-1857	84	1	1	CARDINAL
ejpam-1857	85	1	2p	CARDINAL
ejpam-1857	86	1	1	CARDINAL
ejpam-1857	87	1	8	CARDINAL
ejpam-1857	87	2	5	CARDINAL
ejpam-1857	89	1	2	CARDINAL
ejpam-1857	90	1	5	CARDINAL
ejpam-1857	90	2	6	CARDINAL
ejpam-1857	93	1	one	CARDINAL
ejpam-1857	95	1	f. izadi	PERSON
ejpam-1857	95	2	k. nabardi	PERSON
ejpam-1857	96	1	j. pure	PERSON
ejpam-1857	96	2	7 (2014	DATE
ejpam-1857	96	3	131	CARDINAL
ejpam-1857	96	4	5	CARDINAL
ejpam-1857	96	5	1	CARDINAL
ejpam-1857	96	6	e(q	ORG
ejpam-1857	96	7	6	CARDINAL
ejpam-1857	96	8	∈	ORG
ejpam-1857	98	1	only two	CARDINAL
ejpam-1857	98	2	4	CARDINAL
ejpam-1857	99	1	mod 4	ORG
ejpam-1857	101	1	1	CARDINAL
ejpam-1857	102	1	1+2≡ 1	QUANTITY
ejpam-1857	104	1	2	CARDINAL
ejpam-1857	105	1	2	CARDINAL
ejpam-1857	109	1	abc	ORG
ejpam-1857	109	2	5	CARDINAL
ejpam-1857	110	1	6∈	CARDINAL
ejpam-1857	111	1	202,461	CARDINAL
ejpam-1857	111	2	53	CARDINAL
ejpam-1857	111	3	5	CARDINAL
ejpam-1857	112	1	first	ORDINAL
ejpam-1857	112	2	5	CARDINAL
ejpam-1857	112	3	65	CARDINAL
ejpam-1857	112	4	58	DATE
ejpam-1857	112	5	57564577194761/1008016,29006793653594700125/1012048064	CARDINAL
ejpam-1857	112	6	6192906993/64,311795186829399/512	CARDINAL
ejpam-1857	112	7	24834332880/121,3321719539155360/1331	CARDINAL
ejpam-1857	112	8	341015696,5742307020800	CARDINAL
ejpam-1857	113	1	f. izadi	PERSON
ejpam-1857	113	2	k. nabardi	PERSON
ejpam-1857	114	1	j. pure	PERSON
ejpam-1857	114	2	7 (2014	DATE
ejpam-1857	114	3	131	CARDINAL
ejpam-1857	114	4	2	CARDINAL
ejpam-1857	114	5	5	CARDINAL
ejpam-1857	114	6	2	CARDINAL
ejpam-1857	114	7	2a2	CARDINAL
ejpam-1857	114	8	5	CARDINAL
ejpam-1857	116	1	2a2	CARDINAL
ejpam-1857	116	2	5	CARDINAL
ejpam-1857	118	1	2a2	CARDINAL
ejpam-1857	118	2	4u2	CARDINAL
ejpam-1857	119	1	6	CARDINAL
ejpam-1857	120	1	6	CARDINAL
ejpam-1857	122	1	4x2	CARDINAL
ejpam-1857	123	1	4x	CARDINAL
ejpam-1857	125	1	4	CARDINAL
ejpam-1857	126	1	7	CARDINAL
ejpam-1857	127	1	0	CARDINAL
ejpam-1857	127	2	4	CARDINAL
ejpam-1857	129	1	7	CARDINAL
ejpam-1857	129	2	un	ORG
ejpam-1857	129	3	6	CARDINAL
ejpam-1857	129	4	10	CARDINAL
ejpam-1857	129	5	37	CARDINAL
ejpam-1857	129	6	un	ORG
ejpam-1857	129	7	4	CARDINAL
ejpam-1857	130	1	2	CARDINAL
ejpam-1857	131	1	two	CARDINAL
ejpam-1857	131	2	abc	ORG
ejpam-1857	131	3	2a2	CARDINAL
ejpam-1857	131	4	2a2k	CARDINAL
ejpam-1857	131	5	5	CARDINAL
ejpam-1857	131	6	j.	PERSON
ejpam-1857	131	7	two	CARDINAL
ejpam-1857	131	8	2i	CARDINAL
ejpam-1857	131	9	2(i2	CARDINAL
ejpam-1857	131	10	2(i2	CARDINAL
ejpam-1857	132	1	two	CARDINAL
ejpam-1857	133	1	2	CARDINAL
ejpam-1857	133	2	15,4	CARDINAL
ejpam-1857	133	3	191	CARDINAL
ejpam-1857	136	1	58081, 6044280	DATE
ejpam-1857	136	2	87362, 16686142	DATE
ejpam-1857	137	1	6	CARDINAL
ejpam-1857	137	2	50.3755	CARDINAL
ejpam-1857	138	1	at least 2	CARDINAL
ejpam-1857	139	1	2	CARDINAL
ejpam-1857	139	2	f. izadi	PERSON
ejpam-1857	139	3	k. nabardi	PERSON
ejpam-1857	140	1	j. pure	PERSON
ejpam-1857	140	2	7 (2014	DATE
ejpam-1857	140	3	131	CARDINAL
ejpam-1857	140	4	139 136	CARDINAL
ejpam-1857	140	5	1	CARDINAL
ejpam-1857	141	1	3	CARDINAL
ejpam-1857	141	2	442	CARDINAL
ejpam-1857	141	3	161	CARDINAL
ejpam-1857	144	1	48967051225x2	CARDINAL
ejpam-1857	145	1	2≤	DATE
ejpam-1857	147	1	9378064455014478721x2	CARDINAL
ejpam-1857	147	2	3 5	CARDINAL
ejpam-1857	148	1	231654135138249459108043425625x2	CARDINAL
ejpam-1857	148	2	4 1508758565300431760173584x 4	DATE
ejpam-1857	149	1	8	CARDINAL
ejpam-1857	149	2	1	CARDINAL
ejpam-1857	149	3	±	CARDINAL
ejpam-1857	149	4	2	CARDINAL
ejpam-1857	149	5	0	CARDINAL
ejpam-1857	149	6	1	CARDINAL
ejpam-1857	149	7	1	CARDINAL
ejpam-1857	149	8	±1	PERSON
ejpam-1857	150	1	2i	CARDINAL
ejpam-1857	152	1	1)2)(x	CARDINAL
ejpam-1857	153	1	9	CARDINAL
ejpam-1857	155	1	tate	ORG
ejpam-1857	155	2	one	CARDINAL
ejpam-1857	155	3	8	CARDINAL
ejpam-1857	155	4	4	CARDINAL
ejpam-1857	155	5	4	CARDINAL
ejpam-1857	156	1	one	CARDINAL
ejpam-1857	156	2	two	CARDINAL
ejpam-1857	156	3	e(q	DATE
ejpam-1857	156	4	2t(t4	CARDINAL
ejpam-1857	156	5	1	CARDINAL
ejpam-1857	157	1	2	CARDINAL
ejpam-1857	157	2	9	CARDINAL
ejpam-1857	158	1	20≥	CARDINAL
ejpam-1857	158	2	3+ 4	DATE
ejpam-1857	159	1	20	CARDINAL
ejpam-1857	159	2	rank(e(q	ORG
ejpam-1857	161	1	2	CARDINAL
ejpam-1857	161	2	σ(s2	PERSON
ejpam-1857	163	1	σ	CARDINAL
ejpam-1857	163	2	e(q(t	GPE
ejpam-1857	163	3	1	CARDINAL
ejpam-1857	164	1	silverman	PERSON
ejpam-1857	165	1	f. izadi	PERSON
ejpam-1857	165	2	k. nabardi	PERSON
ejpam-1857	166	1	j. pure	PERSON
ejpam-1857	166	2	7 (2014	DATE
ejpam-1857	166	3	131	CARDINAL
ejpam-1857	166	4	137	CARDINAL
ejpam-1857	166	5	2	CARDINAL
ejpam-1857	167	1	one	CARDINAL
ejpam-1857	167	2	20	CARDINAL
ejpam-1857	168	1	20	CARDINAL
ejpam-1857	170	1	2	CARDINAL
ejpam-1857	171	1	7	CARDINAL
ejpam-1857	173	1	3	CARDINAL
ejpam-1857	174	1	one	CARDINAL
ejpam-1857	175	1	r.	NORP
ejpam-1857	176	1	2(t2	CARDINAL
ejpam-1857	176	2	1)2	CARDINAL
ejpam-1857	176	3	2(2(t2	CARDINAL
ejpam-1857	176	4	1)2	CARDINAL
ejpam-1857	182	1	16t2	CARDINAL
ejpam-1857	183	1	1	CARDINAL
ejpam-1857	183	2	section 3	LAW
ejpam-1857	184	1	two	CARDINAL
ejpam-1857	184	2	2(t2	CARDINAL
ejpam-1857	184	3	1)2	MONEY
ejpam-1857	184	4	1)2s	CARDINAL
ejpam-1857	184	5	e(q(c1	PERSON
ejpam-1857	187	1	2(8t2	CARDINAL
ejpam-1857	189	1	u2 =	PERSON
ejpam-1857	189	2	+ 20t2	DATE
ejpam-1857	189	3	2	CARDINAL
ejpam-1857	190	1	x(x	ORG
ejpam-1857	191	1	+ 3 2	DATE
ejpam-1857	193	1	e(q(c2	GPE
ejpam-1857	193	2	4t2s	CARDINAL
ejpam-1857	194	1	at least 2	CARDINAL
ejpam-1857	194	2	1	CARDINAL
ejpam-1857	194	3	3t4	CARDINAL
ejpam-1857	194	4	5t2	CARDINAL
ejpam-1857	195	1	2	CARDINAL
ejpam-1857	196	1	3t4−5t2−2	CARDINAL
ejpam-1857	198	1	3)(x2	CARDINAL
ejpam-1857	199	1	f. izadi	PERSON
ejpam-1857	199	2	k. nabardi	PERSON
ejpam-1857	200	1	j. pure	PERSON
ejpam-1857	200	2	7 (2014	DATE
ejpam-1857	200	3	131	CARDINAL
ejpam-1857	201	1	e(q(c3	DATE
ejpam-1857	201	2	1	CARDINAL
ejpam-1857	201	3	1)2s	CARDINAL
ejpam-1857	202	1	8	CARDINAL
ejpam-1857	202	2	89	CARDINAL
ejpam-1857	202	3	at least 2	CARDINAL
ejpam-1857	203	1	4t2(t2	CARDINAL
ejpam-1857	204	1	− 1)2	PERSON
ejpam-1857	205	1	gcd(n	ORG
ejpam-1857	205	2	1	CARDINAL
ejpam-1857	206	1	9	CARDINAL
ejpam-1857	207	1	1	CARDINAL
ejpam-1857	207	2	2	CARDINAL
ejpam-1857	207	3	1	CARDINAL
ejpam-1857	208	1	4t2	CARDINAL
ejpam-1857	209	1	10	CARDINAL
ejpam-1857	209	2	10	CARDINAL
ejpam-1857	209	3	3	CARDINAL
ejpam-1857	211	1	12 m2	QUANTITY
ejpam-1857	211	2	4	CARDINAL
ejpam-1857	211	3	6m+ 4) 4−m2	DATE
ejpam-1857	211	4	∈q	ORG
ejpam-1857	212	1	11	CARDINAL
ejpam-1857	212	2	5	CARDINAL
ejpam-1857	212	3	2	CARDINAL
ejpam-1857	212	4	2	CARDINAL
ejpam-1857	212	5	11	CARDINAL
ejpam-1857	212	6	4(t2	CARDINAL
ejpam-1857	212	7	1	CARDINAL
ejpam-1857	212	8	2(t2	CARDINAL
ejpam-1857	212	9	9	CARDINAL
ejpam-1857	213	1	2t(t4	CARDINAL
ejpam-1857	213	2	1	CARDINAL
ejpam-1857	213	3	s6	GPE
ejpam-1857	213	4	4(t2	CARDINAL
ejpam-1857	213	5	1	CARDINAL
ejpam-1857	213	6	2(t2	CARDINAL
ejpam-1857	213	7	4, 7/3,4/3	DATE
ejpam-1857	217	1	3364 81	DATE
ejpam-1857	218	1	3364 81 , 32480 243	DATE
ejpam-1857	218	2	160 9	DATE
ejpam-1857	218	3	320 27	DATE
ejpam-1857	219	1	1.011058	CARDINAL
ejpam-1857	220	1	4	CARDINAL
ejpam-1857	220	2	6	CARDINAL
ejpam-1857	221	1	128/33	CARDINAL
ejpam-1857	221	2	152/27	DATE
ejpam-1857	221	3	252/29	TIME
ejpam-1857	222	1	348/71	CARDINAL
ejpam-1857	222	2	6	CARDINAL
ejpam-1857	225	1	3546380914044004/81758650118401x2 + 347413135010271276960000/739265720544437643649x	DATE
ejpam-1857	232	1	139	CARDINAL
ejpam-1857	232	2	1	CARDINAL
ejpam-1857	232	3	j. cremona	PERSON
ejpam-1857	232	4	mwrank program	ORG
ejpam-1857	233	1	2	CARDINAL
ejpam-1857	234	1	new york	GPE
ejpam-1857	234	2	1987	DATE
ejpam-1857	235	1	3	CARDINAL
ejpam-1857	235	2	m. kuwata	PERSON
ejpam-1857	235	3	j. top	PERSON
ejpam-1857	236	1	indagationes mathematicae	GPE
ejpam-1857	236	2	11(3	CARDINAL
ejpam-1857	236	3	419	CARDINAL
ejpam-1857	236	4	2000	DATE
ejpam-1857	237	1	4	CARDINAL
ejpam-1857	237	2	b. mazur	PERSON
ejpam-1857	238	1	129	CARDINAL
ejpam-1857	239	1	5	CARDINAL
ejpam-1857	239	2	k. ono	PERSON
ejpam-1857	239	3	euler	PERSON
ejpam-1857	239	4	acta arithmetica 78	PERSON
ejpam-1857	240	1	101	CARDINAL
ejpam-1857	241	1	1996	DATE
ejpam-1857	242	1	6	CARDINAL
ejpam-1857	244	1	7	CARDINAL
ejpam-1857	244	2	m. schütt	PERSON
ejpam-1857	245	1	picard	ORG
ejpam-1857	245	2	20	CARDINAL
ejpam-1857	245	3	4(3	CARDINAL
ejpam-1857	245	4	335356	DATE
ejpam-1857	245	5	2010	DATE
ejpam-1857	246	1	8	CARDINAL
ejpam-1857	246	2	j. tate	PERSON
ejpam-1857	247	1	new york	GPE
ejpam-1857	247	2	1992	DATE
ejpam-1857	248	1	9	CARDINAL
ejpam-1857	249	1	pauli	GPE
ejpam-1857	249	2	39(2	CARDINAL
ejpam-1857	249	3	211-240	CARDINAL
ejpam-1857	249	4	10	CARDINAL
ejpam-1857	249	5	washington	GPE
ejpam-1857	250	1	2008	DATE