id	sid	eid	entity	type
ejpam-6553	1	1	european journal	ORG
ejpam-6553	1	2	2025	DATE
ejpam-6553	1	3	18	CARDINAL
ejpam-6553	1	4	3	CARDINAL
ejpam-6553	1	5	6553	CARDINAL
ejpam-6553	1	6	1307-5543	DATE
ejpam-6553	1	7	new york	GPE
ejpam-6553	1	8	abdallah assiry departement	PERSON
ejpam-6553	1	9	al-qura university	ORG
ejpam-6553	2	1	mecca 21955	ORG
ejpam-6553	2	2	saudi arabia	GPE
ejpam-6553	7	1	w	ORG
ejpam-6553	9	1	2020	DATE
ejpam-6553	9	2	11d61	CARDINAL
ejpam-6553	9	3	11y50	DATE
ejpam-6553	9	4	11a07	CARDINAL
ejpam-6553	11	1	1	CARDINAL
ejpam-6553	14	1	affine	ORG
ejpam-6553	14	2	three	CARDINAL
ejpam-6553	15	1	lang	PERSON
ejpam-6553	15	2	1	CARDINAL
ejpam-6553	15	3	baker	PERSON
ejpam-6553	15	4	2	CARDINAL
ejpam-6553	16	1	aaassiry@uqu.edu.sa	PERSON
ejpam-6553	16	2	a. assiry	PERSON
ejpam-6553	17	1	1	CARDINAL
ejpam-6553	17	2	2025	CARDINAL
ejpam-6553	18	1	a. assiry	PERSON
ejpam-6553	19	1	j. pure	PERSON
ejpam-6553	19	2	18	CARDINAL
ejpam-6553	19	3	3	CARDINAL
ejpam-6553	19	4	2025	CARDINAL
ejpam-6553	19	5	6553 2 of 11	DATE
ejpam-6553	20	1	3	CARDINAL
ejpam-6553	20	2	algebraic tori	PERSON
ejpam-6553	21	1	bell et al	ORG
ejpam-6553	22	1	4	CARDINAL
ejpam-6553	25	1	5	CARDINAL
ejpam-6553	26	1	6	CARDINAL
ejpam-6553	29	1	23	CARDINAL
ejpam-6553	29	2	• 23	DATE
ejpam-6553	29	3	8	CARDINAL
ejpam-6553	30	1	23− 1	CARDINAL
ejpam-6553	30	2	9	CARDINAL
ejpam-6553	31	1	chandoul	GPE
ejpam-6553	31	2	10	CARDINAL
ejpam-6553	31	3	11	CARDINAL
ejpam-6553	32	1	•	CARDINAL
ejpam-6553	32	2	0	CARDINAL
ejpam-6553	32	3	1 + 22y	CARDINAL
ejpam-6553	33	1	•	CARDINAL
ejpam-6553	33	2	0	CARDINAL
ejpam-6553	33	3	23x	CARDINAL
ejpam-6553	33	4	12	CARDINAL
ejpam-6553	34	1	•	CARDINAL
ejpam-6553	34	2	•	CARDINAL
ejpam-6553	34	3	baker	PERSON
ejpam-6553	35	1	•	CARDINAL
ejpam-6553	36	1	bennett	PERSON
ejpam-6553	37	1	13	CARDINAL
ejpam-6553	38	1	14	CARDINAL
ejpam-6553	39	1	15	CARDINAL
ejpam-6553	40	1	a. assiry	PERSON
ejpam-6553	41	1	j. pure	PERSON
ejpam-6553	41	2	18	CARDINAL
ejpam-6553	41	3	3	CARDINAL
ejpam-6553	41	4	2025	CARDINAL
ejpam-6553	41	5	6553 3	DATE
ejpam-6553	41	6	11	CARDINAL
ejpam-6553	41	7	generalized ramanujan	PERSON
ejpam-6553	42	1	16	CARDINAL
ejpam-6553	42	2	17	CARDINAL
ejpam-6553	43	1	sroysang	PERSON
ejpam-6553	44	1	18	CARDINAL
ejpam-6553	44	2	19	CARDINAL
ejpam-6553	47	1	2	CARDINAL
ejpam-6553	49	1	2.1	CARDINAL
ejpam-6553	50	1	1	CARDINAL
ejpam-6553	53	1	2	CARDINAL
ejpam-6553	55	1	2.2	CARDINAL
ejpam-6553	57	1	1	CARDINAL
ejpam-6553	57	2	4	CARDINAL
ejpam-6553	58	1	0	CARDINAL
ejpam-6553	58	2	1	CARDINAL
ejpam-6553	61	1	one	CARDINAL
ejpam-6553	61	2	0	CARDINAL
ejpam-6553	61	3	1	DATE
ejpam-6553	61	4	2	DATE
ejpam-6553	61	5	3	CARDINAL
ejpam-6553	61	6	4	CARDINAL
ejpam-6553	62	1	a. assiry	PERSON
ejpam-6553	63	1	j. pure	PERSON
ejpam-6553	63	2	18	CARDINAL
ejpam-6553	63	3	3	CARDINAL
ejpam-6553	63	4	2025	CARDINAL
ejpam-6553	63	5	6553 4	DATE
ejpam-6553	63	6	11 •	CARDINAL
ejpam-6553	63	7	1	CARDINAL
ejpam-6553	66	1	4k	CARDINAL
ejpam-6553	66	2	integer k	PERSON
ejpam-6553	66	3	4k)2	CARDINAL
ejpam-6553	66	4	16k2	CARDINAL
ejpam-6553	66	5	0	CARDINAL
ejpam-6553	68	1	z2 ≡	ORG
ejpam-6553	68	2	0	CARDINAL
ejpam-6553	69	1	•	CARDINAL
ejpam-6553	69	2	2	CARDINAL
ejpam-6553	69	3	1	CARDINAL
ejpam-6553	71	1	4k	CARDINAL
ejpam-6553	71	2	integer k	PERSON
ejpam-6553	71	3	4k + 1)2	MONEY
ejpam-6553	72	1	1	CARDINAL
ejpam-6553	73	1	z2 ≡ 1 (	ORG
ejpam-6553	74	1	•	CARDINAL
ejpam-6553	74	2	3	CARDINAL
ejpam-6553	74	3	2	CARDINAL
ejpam-6553	76	1	+ 2	CARDINAL
ejpam-6553	76	2	integer k	PERSON
ejpam-6553	76	3	4k + 2)2	QUANTITY
ejpam-6553	76	4	16k2 + 16k	DATE
ejpam-6553	76	5	0	CARDINAL
ejpam-6553	78	1	z2 ≡	ORG
ejpam-6553	78	2	0	CARDINAL
ejpam-6553	79	1	•	CARDINAL
ejpam-6553	79	2	4	CARDINAL
ejpam-6553	79	3	3	CARDINAL
ejpam-6553	81	1	4k + 3	DATE
ejpam-6553	81	2	integer k	PERSON
ejpam-6553	81	3	4k +	CARDINAL
ejpam-6553	82	1	16k2 + 24k + 9	DATE
ejpam-6553	82	2	1	CARDINAL
ejpam-6553	83	1	z2 ≡ 1 (	ORG
ejpam-6553	84	1	0	CARDINAL
ejpam-6553	84	2	1	CARDINAL
ejpam-6553	84	3	4	CARDINAL
ejpam-6553	86	1	2	CARDINAL
ejpam-6553	86	2	5	CARDINAL
ejpam-6553	87	1	0	CARDINAL
ejpam-6553	87	2	1	DATE
ejpam-6553	87	3	4	CARDINAL
ejpam-6553	89	1	5	CARDINAL
ejpam-6553	90	1	one	CARDINAL
ejpam-6553	90	2	0	CARDINAL
ejpam-6553	90	3	1	DATE
ejpam-6553	90	4	2	DATE
ejpam-6553	90	5	3	DATE
ejpam-6553	90	6	4	CARDINAL
ejpam-6553	90	7	5	CARDINAL
ejpam-6553	91	1	•	CARDINAL
ejpam-6553	91	2	1	CARDINAL
ejpam-6553	94	1	5k	CARDINAL
ejpam-6553	94	2	integer k	PERSON
ejpam-6553	94	3	5k)2	CARDINAL
ejpam-6553	94	4	25k2	CARDINAL
ejpam-6553	94	5	0	CARDINAL
ejpam-6553	96	1	z2 ≡	ORG
ejpam-6553	96	2	0	CARDINAL
ejpam-6553	97	1	a. assiry	PERSON
ejpam-6553	98	1	j. pure	PERSON
ejpam-6553	98	2	18	CARDINAL
ejpam-6553	98	3	3	CARDINAL
ejpam-6553	98	4	2025	CARDINAL
ejpam-6553	98	5	6553 5	DATE
ejpam-6553	98	6	11 •	CARDINAL
ejpam-6553	98	7	2	CARDINAL
ejpam-6553	98	8	1	CARDINAL
ejpam-6553	100	1	5k	CARDINAL
ejpam-6553	100	2	integer k	PERSON
ejpam-6553	101	1	25k2	CARDINAL
ejpam-6553	101	2	1	CARDINAL
ejpam-6553	102	1	z2 ≡ 1 (mod 5	ORG
ejpam-6553	103	1	•	CARDINAL
ejpam-6553	103	2	3	CARDINAL
ejpam-6553	103	3	2	CARDINAL
ejpam-6553	105	1	5k	CARDINAL
ejpam-6553	105	2	integer k	PERSON
ejpam-6553	105	3	5k + 2)2	QUANTITY
ejpam-6553	105	4	25k2	CARDINAL
ejpam-6553	106	1	4	CARDINAL
ejpam-6553	107	1	z2 ≡ 4 (mod 5	ORG
ejpam-6553	108	1	•	CARDINAL
ejpam-6553	108	2	4	CARDINAL
ejpam-6553	108	3	3	CARDINAL
ejpam-6553	110	1	5k + 3	DATE
ejpam-6553	110	2	integer k	PERSON
ejpam-6553	111	1	25k2	CARDINAL
ejpam-6553	112	1	4	CARDINAL
ejpam-6553	113	1	z2 ≡ 4 (mod 5	ORG
ejpam-6553	114	1	•	CARDINAL
ejpam-6553	114	2	5	CARDINAL
ejpam-6553	114	3	4	CARDINAL
ejpam-6553	116	1	5k + 4	DATE
ejpam-6553	116	2	integer k	PERSON
ejpam-6553	116	3	5k +	MONEY
ejpam-6553	118	1	25k2	CARDINAL
ejpam-6553	119	1	1	CARDINAL
ejpam-6553	120	1	z2 ≡ 1 (mod 5	ORG
ejpam-6553	121	1	0	CARDINAL
ejpam-6553	121	2	1	CARDINAL
ejpam-6553	121	3	4	CARDINAL
ejpam-6553	121	4	5	CARDINAL
ejpam-6553	123	1	2.3	CARDINAL
ejpam-6553	123	2	• z	CARDINAL
ejpam-6553	125	1	•	CARDINAL
ejpam-6553	125	2	•	CARDINAL
ejpam-6553	126	1	b. a. assiry	PERSON
ejpam-6553	127	1	j. pure	PERSON
ejpam-6553	127	2	18	CARDINAL
ejpam-6553	127	3	3	CARDINAL
ejpam-6553	127	4	2025	CARDINAL
ejpam-6553	127	5	6553 6 of 11 3	DATE
ejpam-6553	127	6	1	CARDINAL
ejpam-6553	133	1	1	CARDINAL
ejpam-6553	133	2	•	CARDINAL
ejpam-6553	133	3	23	DATE
ejpam-6553	133	4	x. •	EVENT
ejpam-6553	133	5	22	DATE
ejpam-6553	133	6	22y	CARDINAL
ejpam-6553	133	7	•	CARDINAL
ejpam-6553	135	1	•	CARDINAL
ejpam-6553	136	1	2	CARDINAL
ejpam-6553	136	2	4	CARDINAL
ejpam-6553	136	3	•	CARDINAL
ejpam-6553	136	4	4	CARDINAL
ejpam-6553	136	5	•	CARDINAL
ejpam-6553	137	1	23	CARDINAL
ejpam-6553	137	2	3	CARDINAL
ejpam-6553	137	3	3x	CARDINAL
ejpam-6553	137	4	4	CARDINAL
ejpam-6553	138	1	•	CARDINAL
ejpam-6553	138	2	22	CARDINAL
ejpam-6553	138	3	2	CARDINAL
ejpam-6553	138	4	22y	CARDINAL
ejpam-6553	138	5	2y	CARDINAL
ejpam-6553	138	6	4	CARDINAL
ejpam-6553	139	1	•	CARDINAL
ejpam-6553	139	2	2	DATE
ejpam-6553	139	3	2y	CARDINAL
ejpam-6553	139	4	4	CARDINAL
ejpam-6553	139	5	22y	CARDINAL
ejpam-6553	139	6	0	CARDINAL
ejpam-6553	141	1	•	CARDINAL
ejpam-6553	141	2	4	CARDINAL
ejpam-6553	141	3	3x	CARDINAL
ejpam-6553	142	1	3x	CARDINAL
ejpam-6553	142	2	4	CARDINAL
ejpam-6553	143	1	3x	CARDINAL
ejpam-6553	143	2	3x	CARDINAL
ejpam-6553	143	3	1	CARDINAL
ejpam-6553	144	1	3x	CARDINAL
ejpam-6553	144	2	3	CARDINAL
ejpam-6553	145	1	•	CARDINAL
ejpam-6553	145	2	0	CARDINAL
ejpam-6553	145	3	1	CARDINAL
ejpam-6553	146	1	3x	CARDINAL
ejpam-6553	146	2	3	CARDINAL
ejpam-6553	147	1	a. assiry	PERSON
ejpam-6553	148	1	j. pure	PERSON
ejpam-6553	148	2	18	CARDINAL
ejpam-6553	148	3	3	CARDINAL
ejpam-6553	148	4	2025	CARDINAL
ejpam-6553	148	5	6553 7	DATE
ejpam-6553	148	6	11	CARDINAL
ejpam-6553	148	7	3	CARDINAL
ejpam-6553	148	8	5	CARDINAL
ejpam-6553	148	9	5	CARDINAL
ejpam-6553	148	10	•	CARDINAL
ejpam-6553	149	1	23	CARDINAL
ejpam-6553	149	2	3	CARDINAL
ejpam-6553	149	3	3x	CARDINAL
ejpam-6553	150	1	•	CARDINAL
ejpam-6553	150	2	22	CARDINAL
ejpam-6553	150	3	2	CARDINAL
ejpam-6553	150	4	22y	CARDINAL
ejpam-6553	150	5	2y	CARDINAL
ejpam-6553	151	1	•	CARDINAL
ejpam-6553	151	2	5	CARDINAL
ejpam-6553	151	3	3x	CARDINAL
ejpam-6553	153	1	3x	CARDINAL
ejpam-6553	153	2	2y	CARDINAL
ejpam-6553	153	3	3	CARDINAL
ejpam-6553	153	4	31	CARDINAL
ejpam-6553	153	5	3	CARDINAL
ejpam-6553	153	6	32	CARDINAL
ejpam-6553	153	7	4	CARDINAL
ejpam-6553	153	8	33	CARDINAL
ejpam-6553	153	9	2	CARDINAL
ejpam-6553	153	10	34	CARDINAL
ejpam-6553	153	11	1	CARDINAL
ejpam-6553	153	12	35	CARDINAL
ejpam-6553	153	13	3	CARDINAL
ejpam-6553	154	1	2	CARDINAL
ejpam-6553	154	2	21	CARDINAL
ejpam-6553	154	3	2	CARDINAL
ejpam-6553	154	4	22	CARDINAL
ejpam-6553	154	5	4	CARDINAL
ejpam-6553	154	6	23	CARDINAL
ejpam-6553	154	7	3	CARDINAL
ejpam-6553	154	8	24	CARDINAL
ejpam-6553	154	9	1	CARDINAL
ejpam-6553	154	10	25	CARDINAL
ejpam-6553	154	11	2	CARDINAL
ejpam-6553	156	1	•	CARDINAL
ejpam-6553	156	2	3x	CARDINAL
ejpam-6553	157	1	y modulo 4	PERSON
ejpam-6553	157	2	4	CARDINAL
ejpam-6553	157	3	0	CARDINAL
ejpam-6553	157	4	3x	CARDINAL
ejpam-6553	157	5	1	CARDINAL
ejpam-6553	158	1	1	CARDINAL
ejpam-6553	158	2	3x	CARDINAL
ejpam-6553	158	3	3	CARDINAL
ejpam-6553	159	1	2	CARDINAL
ejpam-6553	159	2	3x	CARDINAL
ejpam-6553	159	3	4	CARDINAL
ejpam-6553	160	1	3	CARDINAL
ejpam-6553	160	2	3x	CARDINAL
ejpam-6553	160	3	2	CARDINAL
ejpam-6553	161	1	2y	CARDINAL
ejpam-6553	161	2	1	CARDINAL
ejpam-6553	162	1	1	CARDINAL
ejpam-6553	162	2	2y	CARDINAL
ejpam-6553	162	3	2	CARDINAL
ejpam-6553	163	1	2	CARDINAL
ejpam-6553	163	2	2y	CARDINAL
ejpam-6553	163	3	4	CARDINAL
ejpam-6553	164	1	3	CARDINAL
ejpam-6553	164	2	2y	CARDINAL
ejpam-6553	164	3	3	CARDINAL
ejpam-6553	165	1	y modulo 4	PERSON
ejpam-6553	165	2	3x	CARDINAL
ejpam-6553	166	1	5	CARDINAL
ejpam-6553	166	2	z2 ≡ 0,	ORG
ejpam-6553	166	3	1	DATE
ejpam-6553	166	4	4	CARDINAL
ejpam-6553	166	5	0	CARDINAL
ejpam-6553	167	1	2	CARDINAL
ejpam-6553	168	1	2	CARDINAL
ejpam-6553	168	2	5	CARDINAL
ejpam-6553	169	1	y modulo 4	PERSON
ejpam-6553	173	1	a. assiry	PERSON
ejpam-6553	174	1	j. pure	PERSON
ejpam-6553	174	2	18	CARDINAL
ejpam-6553	174	3	3	CARDINAL
ejpam-6553	174	4	2025	CARDINAL
ejpam-6553	174	5	6553 8	DATE
ejpam-6553	175	1	23x + 22y	DATE
ejpam-6553	177	1	2	CARDINAL
ejpam-6553	177	2	23	CARDINAL
ejpam-6553	177	3	24	CARDINAL
ejpam-6553	177	4	45	CARDINAL
ejpam-6553	177	5	530	CARDINAL
ejpam-6553	177	6	551	CARDINAL
ejpam-6553	177	7	wx +	PERSON
ejpam-6553	178	1	w	ORG
ejpam-6553	178	2	4n + 3	DATE
ejpam-6553	179	1	•	CARDINAL
ejpam-6553	179	2	• 31x + 30y	DATE
ejpam-6553	181	1	6	CARDINAL
ejpam-6553	184	1	6.1	CARDINAL
ejpam-6553	184	2	23	CARDINAL
ejpam-6553	184	3	22	DATE
ejpam-6553	185	1	•	CARDINAL
ejpam-6553	185	2	23	CARDINAL
ejpam-6553	185	3	22	CARDINAL
ejpam-6553	186	1	•	CARDINAL
ejpam-6553	186	2	4	CARDINAL
ejpam-6553	186	3	•	CARDINAL
ejpam-6553	187	1	a. assiry	PERSON
ejpam-6553	188	1	j. pure	PERSON
ejpam-6553	188	2	18	CARDINAL
ejpam-6553	188	3	3	CARDINAL
ejpam-6553	188	4	2025	CARDINAL
ejpam-6553	188	5	6553 9	DATE
ejpam-6553	188	6	11 6.2	CARDINAL
ejpam-6553	189	1	wx +	PERSON
ejpam-6553	190	1	w	ORG
ejpam-6553	190	2	4n + 3	DATE
ejpam-6553	191	1	•	CARDINAL
ejpam-6553	191	2	• 31x + 30y	DATE
ejpam-6553	194	1	6.3	CARDINAL
ejpam-6553	195	1	•	CARDINAL
ejpam-6553	196	1	•	CARDINAL
ejpam-6553	196	2	k ≥ 3	ORG
ejpam-6553	197	1	•	CARDINAL
ejpam-6553	200	1	7	CARDINAL
ejpam-6553	203	1	w	ORG
ejpam-6553	206	1	a. assiry	PERSON
ejpam-6553	207	1	j. pure	PERSON
ejpam-6553	207	2	18	CARDINAL
ejpam-6553	207	3	3	CARDINAL
ejpam-6553	207	4	2025	CARDINAL
ejpam-6553	207	5	6553 10	DATE
ejpam-6553	207	6	11	CARDINAL
ejpam-6553	208	1	al-qura university	ORG
ejpam-6553	208	2	saudi arabia	GPE
ejpam-6553	208	3	25uqu4270201gssr03	CARDINAL
ejpam-6553	209	1	al-qura university	ORG
ejpam-6553	209	2	saudi arabia	GPE
ejpam-6553	209	3	25uqu4270201gssr03	CARDINAL
ejpam-6553	210	1	1	CARDINAL
ejpam-6553	210	2	s. lang	PERSON
ejpam-6553	212	1	3rd	ORDINAL
ejpam-6553	212	2	2002	DATE
ejpam-6553	214	1	2	CARDINAL
ejpam-6553	214	2	a. baker	PERSON
ejpam-6553	216	1	cambridge university press	ORG
ejpam-6553	216	2	1975	DATE
ejpam-6553	217	1	3	CARDINAL
ejpam-6553	217	2	evelina viada	PERSON
ejpam-6553	218	1	algebraic tori	PERSON
ejpam-6553	219	1	2021(12):8911–8952	CARDINAL
ejpam-6553	219	2	2021	DATE
ejpam-6553	220	1	4	CARDINAL
ejpam-6553	220	2	jason bell	PERSON
ejpam-6553	220	3	shaoshi chen	PERSON
ejpam-6553	220	4	ziyang huang	PERSON
ejpam-6553	222	1	compositio mathematica	PERSON
ejpam-6553	222	2	158(1):1–38	DATE
ejpam-6553	222	3	2022	CARDINAL
ejpam-6553	223	1	5	CARDINAL
ejpam-6553	223	2	emmanuel kowalski	PERSON
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ejpam-6553	228	1	7	CARDINAL
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ejpam-6553	233	1	9	CARDINAL
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ejpam-6553	236	1	10	CARDINAL
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ejpam-6553	242	1	acta arithmetica	PERSON
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ejpam-6553	246	1	14	CARDINAL
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ejpam-6553	252	1	cambridge university press	ORG
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ejpam-6553	253	1	16	CARDINAL
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ejpam-6553	255	3	539:55–74, 2001	DATE
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ejpam-6553	263	2	2024	DATE