id	sid	eid	entity	type
ejpam-6387	1	1	european journal	ORG
ejpam-6387	1	2	2025	DATE
ejpam-6387	1	3	18	CARDINAL
ejpam-6387	1	4	4	CARDINAL
ejpam-6387	1	5	6387	CARDINAL
ejpam-6387	1	6	1307-5543	DATE
ejpam-6387	1	7	new york	GPE
ejpam-6387	1	8	0	CARDINAL
ejpam-6387	1	9	1	CARDINAL
ejpam-6387	1	10	muhammed amen1,∗	PERSON
ejpam-6387	1	11	al-maamori2	ORG
ejpam-6387	1	12	hama1 1	ORG
ejpam-6387	1	13	university of sulaimani	ORG
ejpam-6387	1	14	46001	DATE
ejpam-6387	1	15	iraq 2	ORG
ejpam-6387	1	16	university of babylon	ORG
ejpam-6387	1	17	babil	GPE
ejpam-6387	1	18	iraq	GPE
ejpam-6387	2	1	the third decade of the last century	DATE
ejpam-6387	3	1	arithmetics	NORP
ejpam-6387	4	1	0	CARDINAL
ejpam-6387	4	2	1	CARDINAL
ejpam-6387	6	1	2020	DATE
ejpam-6387	6	2	11n80	CARDINAL
ejpam-6387	6	3	11m32	CARDINAL
ejpam-6387	6	4	1	CARDINAL
ejpam-6387	7	1	riemann zeta function	ORG
ejpam-6387	10	1	1896	DATE
ejpam-6387	10	2	de la vallee poussin	PERSON
ejpam-6387	11	1	1	CARDINAL
ejpam-6387	12	1	1930	DATE
ejpam-6387	12	2	1 < p1 ≤ p2 ≤ p3 ≤	QUANTITY
ejpam-6387	16	1	https://doi.org/10.29020/nybg.ejpam.v18i4.6387	GPE
ejpam-6387	16	2	z. m. amen	PERSON
ejpam-6387	16	3	f. a. al-maamori	PERSON
ejpam-6387	16	4	m. f. hama	PERSON
ejpam-6387	17	1	1	CARDINAL
ejpam-6387	17	2	2025	CARDINAL
ejpam-6387	18	1	z. m. amen	PERSON
ejpam-6387	18	2	f. a. al-maamori	PERSON
ejpam-6387	18	3	m. f. hama	PERSON
ejpam-6387	19	1	j. pure	PERSON
ejpam-6387	19	2	18	CARDINAL
ejpam-6387	19	3	4	CARDINAL
ejpam-6387	19	4	2025	CARDINAL
ejpam-6387	19	5	6387 2	DATE
ejpam-6387	19	6	15	CARDINAL
ejpam-6387	23	1	k ∈ n	PERSON
ejpam-6387	23	2	0	CARDINAL
ejpam-6387	27	1	beurling	PERSON
ejpam-6387	28	1	beurling	PERSON
ejpam-6387	29	1	1937	DATE
ejpam-6387	29	2	2	CARDINAL
ejpam-6387	29	3	ax+o	PERSON
ejpam-6387	29	4	x)γ	ORG
ejpam-6387	29	5	γ greater than 3/2	ORG
ejpam-6387	30	1	3	CARDINAL
ejpam-6387	31	1	last century	DATE
ejpam-6387	31	2	kahane[11	PERSON
ejpam-6387	32	1	riemann hypothesis	ORG
ejpam-6387	33	1	0	CARDINAL
ejpam-6387	33	2	1	CARDINAL
ejpam-6387	34	1	2	CARDINAL
ejpam-6387	35	1	first	ORDINAL
ejpam-6387	35	2	1	CARDINAL
ejpam-6387	36	1	k ∈ n	ORG
ejpam-6387	36	2	∈	ORG
ejpam-6387	36	3	1	CARDINAL
ejpam-6387	36	4	14	CARDINAL
ejpam-6387	36	5	x.	GPE
ejpam-6387	37	1	1	CARDINAL
ejpam-6387	37	2	1	CARDINAL
ejpam-6387	37	3	riemann	PERSON
ejpam-6387	38	1	1	CARDINAL
ejpam-6387	38	2	1 ns	QUANTITY
ejpam-6387	38	3	1	CARDINAL
ejpam-6387	39	1	beurling	PERSON
ejpam-6387	40	1	15	CARDINAL
ejpam-6387	41	1	1	CARDINAL
ejpam-6387	41	2	1	CARDINAL
ejpam-6387	42	1	beurling	PERSON
ejpam-6387	42	2	15	CARDINAL
ejpam-6387	43	1	∑ n∈np	PERSON
ejpam-6387	43	2	1	CARDINAL
ejpam-6387	43	3	z. m. amen	PERSON
ejpam-6387	43	4	f. a. al-maamori	PERSON
ejpam-6387	43	5	m. f. hama	PERSON
ejpam-6387	44	1	j. pure	PERSON
ejpam-6387	44	2	18	CARDINAL
ejpam-6387	44	3	4	CARDINAL
ejpam-6387	44	4	2025	CARDINAL
ejpam-6387	44	5	6387 3	DATE
ejpam-6387	44	6	1	CARDINAL
ejpam-6387	44	7	1 x−sdψ(x	QUANTITY
ejpam-6387	45	1	ψp(x	NORP
ejpam-6387	45	2	ψp(x	NORP
ejpam-6387	47	1	1	CARDINAL
ejpam-6387	49	1	f(x	ORG
ejpam-6387	50	1	∣∣∣	CARDINAL
ejpam-6387	50	2	0	CARDINAL
ejpam-6387	55	1	2	CARDINAL
ejpam-6387	56	1	1]let	CARDINAL
ejpam-6387	57	1	lim x−→∞ f(x	PERSON
ejpam-6387	57	2	1	CARDINAL
ejpam-6387	57	3	f(x	ORG
ejpam-6387	57	4	x→ ∞	PERSON
ejpam-6387	57	5	f(x	ORG
ejpam-6387	57	6	x→ ∞	PERSON
ejpam-6387	58	1	3	CARDINAL
ejpam-6387	59	1	1	CARDINAL
ejpam-6387	59	2	f(x	ORG
ejpam-6387	59	3	∣∣∣	CARDINAL
ejpam-6387	59	4	0	CARDINAL
ejpam-6387	60	1	a. lemma 1	PERSON
ejpam-6387	61	1	16	CARDINAL
ejpam-6387	63	1	0	CARDINAL
ejpam-6387	63	2	1	CARDINAL
ejpam-6387	63	3	half	CARDINAL
ejpam-6387	65	1	1	CARDINAL
ejpam-6387	65	2	6=	CARDINAL
ejpam-6387	66	1	3	CARDINAL
ejpam-6387	69	1	∈	ORG
ejpam-6387	71	1	1	CARDINAL
ejpam-6387	72	1	z. m. amen	PERSON
ejpam-6387	72	2	f. a. al-maamori	PERSON
ejpam-6387	72	3	m. f. hama	PERSON
ejpam-6387	73	1	j. pure	PERSON
ejpam-6387	73	2	18	CARDINAL
ejpam-6387	73	3	4	CARDINAL
ejpam-6387	73	4	2025	CARDINAL
ejpam-6387	73	5	6387 4	DATE
ejpam-6387	73	6	15	CARDINAL
ejpam-6387	74	1	riemann zeta fuction	ORG
ejpam-6387	74	2	three	CARDINAL
ejpam-6387	76	1	1977	DATE
ejpam-6387	76	2	2	CARDINAL
ejpam-6387	76	3	np	ORG
ejpam-6387	76	4	x→ ∞ (ii	PERSON
ejpam-6387	76	5	1983	DATE
ejpam-6387	76	6	landau	PERSON
ejpam-6387	76	7	17	CARDINAL
ejpam-6387	76	8	1	CARDINAL
ejpam-6387	76	9	1	CARDINAL
ejpam-6387	79	1	2	CARDINAL
ejpam-6387	79	2	2006	DATE
ejpam-6387	79	3	18	CARDINAL
ejpam-6387	79	4	landau	PERSON
ejpam-6387	80	1	1	CARDINAL
ejpam-6387	82	1	+ ω(xe−q	PERCENT
ejpam-6387	82	2	1969	DATE
ejpam-6387	82	3	malliavin	PERSON
ejpam-6387	83	1	8	CARDINAL
ejpam-6387	83	2	0	CARDINAL
ejpam-6387	83	3	1	CARDINAL
ejpam-6387	83	4	0	CARDINAL
ejpam-6387	85	1	+o(xe−k(log x)α	DATE
ejpam-6387	86	1	10α	CARDINAL
ejpam-6387	86	2	1970	DATE
ejpam-6387	86	3	3	CARDINAL
ejpam-6387	86	4	malliavin	ORG
ejpam-6387	88	1	0	CARDINAL
ejpam-6387	88	2	1	CARDINAL
ejpam-6387	88	3	0	CARDINAL
ejpam-6387	89	1	0	CARDINAL
ejpam-6387	90	1	z. m. amen	PERSON
ejpam-6387	90	2	f. a. al-maamori	PERSON
ejpam-6387	90	3	m. f. hama	PERSON
ejpam-6387	91	1	j. pure	PERSON
ejpam-6387	91	2	18	CARDINAL
ejpam-6387	91	3	4	CARDINAL
ejpam-6387	91	4	2025	CARDINAL
ejpam-6387	91	5	6387 5	DATE
ejpam-6387	91	6	15	CARDINAL
ejpam-6387	91	7	1998	DATE
ejpam-6387	92	1	19	CARDINAL
ejpam-6387	94	1	ρx+ω±	TIME
ejpam-6387	94	2	1 2	CARDINAL
ejpam-6387	95	1	2006	DATE
ejpam-6387	95	2	6	CARDINAL
ejpam-6387	95	3	1	CARDINAL
ejpam-6387	95	4	ψp(x	NORP
ejpam-6387	96	1	0	CARDINAL
ejpam-6387	96	2	1	CARDINAL
ejpam-6387	97	1	ρx+o(xe−c √	PERSON
ejpam-6387	97	2	log x	PERSON
ejpam-6387	98	1	2014	DATE
ejpam-6387	98	2	al-maamori	PERSON
ejpam-6387	99	1	15	CARDINAL
ejpam-6387	101	1	xe−c(log x)β	WORK_OF_ART
ejpam-6387	102	1	2015	DATE
ejpam-6387	102	2	al-maamori	PERSON
ejpam-6387	103	1	20	CARDINAL
ejpam-6387	103	2	1	CARDINAL
ejpam-6387	103	3	0	CARDINAL
ejpam-6387	103	4	1	CARDINAL
ejpam-6387	103	5	half	CARDINAL
ejpam-6387	103	6	1	CARDINAL
ejpam-6387	104	1	1	CARDINAL
ejpam-6387	105	1	1− 1	CARDINAL
ejpam-6387	106	1	1−	TIME
ejpam-6387	107	1	2	CARDINAL
ejpam-6387	108	1	1	CARDINAL
ejpam-6387	110	1	z. m. amen	PERSON
ejpam-6387	110	2	f. a. al-maamori	PERSON
ejpam-6387	110	3	m. f. hama	PERSON
ejpam-6387	111	1	j. pure	PERSON
ejpam-6387	111	2	18	CARDINAL
ejpam-6387	111	3	4	CARDINAL
ejpam-6387	111	4	2025	CARDINAL
ejpam-6387	111	5	6387 6	DATE
ejpam-6387	113	1	0	CARDINAL
ejpam-6387	113	2	1	CARDINAL
ejpam-6387	114	1	half	CARDINAL
ejpam-6387	114	2	1	CARDINAL
ejpam-6387	116	1	1− 1	CARDINAL
ejpam-6387	117	1	1−	TIME
ejpam-6387	118	1	2	CARDINAL
ejpam-6387	120	1	1 2	DATE
ejpam-6387	121	1	20	CARDINAL
ejpam-6387	121	2	2.1,p	CARDINAL
ejpam-6387	121	3	387	CARDINAL
ejpam-6387	122	1	1	CARDINAL
ejpam-6387	122	2	1 2	CARDINAL
ejpam-6387	123	1	2	CARDINAL
ejpam-6387	123	2	0	CARDINAL
ejpam-6387	123	3	1	CARDINAL
ejpam-6387	123	4	half	CARDINAL
ejpam-6387	123	5	1	CARDINAL
ejpam-6387	124	1	1	CARDINAL
ejpam-6387	126	1	1 2	CARDINAL
ejpam-6387	126	2	1− 1	CARDINAL
ejpam-6387	127	1	1 2	CARDINAL
ejpam-6387	127	2	βx+o	PERSON
ejpam-6387	127	3	4	CARDINAL
ejpam-6387	127	4	h−1(2	ORG
ejpam-6387	129	1	1 2	CARDINAL
ejpam-6387	130	1	21	CARDINAL
ejpam-6387	131	1	1 2πi	CARDINAL
ejpam-6387	131	2	z. m. amen	PERSON
ejpam-6387	131	3	f. a. al-maamori	PERSON
ejpam-6387	131	4	m. f. hama	PERSON
ejpam-6387	132	1	j. pure	PERSON
ejpam-6387	132	2	18	CARDINAL
ejpam-6387	132	3	4	CARDINAL
ejpam-6387	132	4	2025	CARDINAL
ejpam-6387	132	5	6387 7	DATE
ejpam-6387	132	6	15	CARDINAL
ejpam-6387	133	1	np(y)dy	ORG
ejpam-6387	133	2	0	CARDINAL
ejpam-6387	133	3	1	CARDINAL
ejpam-6387	133	4	2πi	ORDINAL
ejpam-6387	133	5	1 2πi	CARDINAL
ejpam-6387	133	6	1	CARDINAL
ejpam-6387	133	7	1	CARDINAL
ejpam-6387	134	1	1	CARDINAL
ejpam-6387	134	2	0 zp(x	PERCENT
ejpam-6387	135	1	2	CARDINAL
ejpam-6387	136	1	2πi	ORDINAL
ejpam-6387	136	2	1	CARDINAL
ejpam-6387	137	1	1 2πi	CARDINAL
ejpam-6387	137	2	1− 1	CARDINAL
ejpam-6387	138	1	1	CARDINAL
ejpam-6387	139	1	+ 1	DATE
ejpam-6387	139	2	2πi	ORDINAL
ejpam-6387	139	3	1	CARDINAL
ejpam-6387	139	4	1 2πi	CARDINAL
ejpam-6387	139	5	1	CARDINAL
ejpam-6387	139	6	2	CARDINAL
ejpam-6387	139	7	1	CARDINAL
ejpam-6387	139	8	1− 1	CARDINAL
ejpam-6387	139	9	1− 1 f(log	CARDINAL
ejpam-6387	139	10	|t| ≤ a.	DATE
ejpam-6387	140	1	1− 1 f(log	CARDINAL
ejpam-6387	142	1	third	ORDINAL
ejpam-6387	142	2	2	CARDINAL
ejpam-6387	142	3	1	CARDINAL
ejpam-6387	143	1	3/2	CARDINAL
ejpam-6387	144	1	fourth	ORDINAL
ejpam-6387	144	2	2	CARDINAL
ejpam-6387	144	3	0	CARDINAL
ejpam-6387	144	4	2	CARDINAL
ejpam-6387	145	1	2	CARDINAL
ejpam-6387	146	1	2πi	ORDINAL
ejpam-6387	146	2	1	CARDINAL
ejpam-6387	146	3	λt	ORG
ejpam-6387	146	4	1	CARDINAL
ejpam-6387	146	5	1	CARDINAL
ejpam-6387	146	6	1	CARDINAL
ejpam-6387	146	7	|t|	DATE
ejpam-6387	146	8	a. z. m.	PERSON
ejpam-6387	147	1	f. a. al-maamori	PERSON
ejpam-6387	147	2	m. f. hama	PERSON
ejpam-6387	148	1	j. pure	PERSON
ejpam-6387	148	2	18	CARDINAL
ejpam-6387	148	3	4	CARDINAL
ejpam-6387	148	4	2025	CARDINAL
ejpam-6387	148	5	6387 8	DATE
ejpam-6387	148	6	2πi	ORDINAL
ejpam-6387	148	7	∣∣∣ζp(1− 1	DATE
ejpam-6387	148	8	∣∣∣	CARDINAL
ejpam-6387	148	9	.x 2− 1	DATE
ejpam-6387	149	1	2− 1 f(log	DATE
ejpam-6387	150	1	ζp(1− 1 f(log	PRODUCT
ejpam-6387	151	1	1	CARDINAL
ejpam-6387	152	1	2− 1 f(log	DATE
ejpam-6387	154	1	1/2	CARDINAL
ejpam-6387	154	2	2	CARDINAL
ejpam-6387	156	1	+o	DATE
ejpam-6387	156	2	2− 1 f(log	DATE
ejpam-6387	157	1	1 2	CARDINAL
ejpam-6387	159	1	2− 1 f(log	DATE
ejpam-6387	159	2	∞	CARDINAL
ejpam-6387	159	3	1 2	CARDINAL
ejpam-6387	159	4	1 2	CARDINAL
ejpam-6387	159	5	first	ORDINAL
ejpam-6387	160	1	1 2	CARDINAL
ejpam-6387	160	2	o	DATE
ejpam-6387	161	1	second	ORDINAL
ejpam-6387	161	2	1 2	CARDINAL
ejpam-6387	163	1	1 2	CARDINAL
ejpam-6387	163	2	o	DATE
ejpam-6387	163	3	1 2	CARDINAL
ejpam-6387	163	4	two	CARDINAL
ejpam-6387	163	5	o	PERSON
ejpam-6387	164	1	o	DATE
ejpam-6387	164	2	1 2	CARDINAL
ejpam-6387	164	3	2	MONEY
ejpam-6387	164	4	h(a	ORG
ejpam-6387	164	5	2	CARDINAL
ejpam-6387	164	6	h−1(2	ORG
ejpam-6387	165	1	z. m. amen	PERSON
ejpam-6387	165	2	f. a. al-maamori	PERSON
ejpam-6387	165	3	m. f. hama	PERSON
ejpam-6387	166	1	j. pure	PERSON
ejpam-6387	166	2	18	CARDINAL
ejpam-6387	166	3	4	CARDINAL
ejpam-6387	166	4	2025	CARDINAL
ejpam-6387	166	5	6387 9	DATE
ejpam-6387	166	6	15	CARDINAL
ejpam-6387	166	7	2 x2	QUANTITY
ejpam-6387	167	1	o	DATE
ejpam-6387	167	2	2	CARDINAL
ejpam-6387	167	3	h−1(2	ORG
ejpam-6387	167	4	3	CARDINAL
ejpam-6387	167	5	np	ORG
ejpam-6387	167	6	0	CARDINAL
ejpam-6387	171	1	0	CARDINAL
ejpam-6387	172	1	0	CARDINAL
ejpam-6387	173	1	zp(x)−zp(x− y	PERSON
ejpam-6387	174	1	3	CARDINAL
ejpam-6387	174	2	2	CARDINAL
ejpam-6387	175	1	2	CARDINAL
ejpam-6387	175	2	h−1(2	ORG
ejpam-6387	177	1	1	CARDINAL
ejpam-6387	177	2	2	CARDINAL
ejpam-6387	178	1	2xy + y2	DATE
ejpam-6387	179	1	+o	DATE
ejpam-6387	179	2	2	CARDINAL
ejpam-6387	179	3	h−1(2	ORG
ejpam-6387	179	4	4	CARDINAL
ejpam-6387	179	5	2	CARDINAL
ejpam-6387	180	1	2	CARDINAL
ejpam-6387	180	2	h−1(2	ORG
ejpam-6387	181	1	1 y	QUANTITY
ejpam-6387	181	2	2	CARDINAL
ejpam-6387	182	1	2	MONEY
ejpam-6387	187	1	y = o(x	PERSON
ejpam-6387	187	2	h−1(2	ORG
ejpam-6387	187	3	h−1(2	ORG
ejpam-6387	187	4	h−1(2	ORG
ejpam-6387	187	5	4	CARDINAL
ejpam-6387	188	1	2	CARDINAL
ejpam-6387	188	2	h−1(2	ORG
ejpam-6387	189	1	5	CARDINAL
ejpam-6387	189	2	z. m. amen	PERSON
ejpam-6387	189	3	f. a. al-maamori	PERSON
ejpam-6387	189	4	m. f. hama	PERSON
ejpam-6387	190	1	j. pure	PERSON
ejpam-6387	190	2	18	CARDINAL
ejpam-6387	190	3	4	CARDINAL
ejpam-6387	190	4	2025	CARDINAL
ejpam-6387	190	5	6387 10	DATE
ejpam-6387	190	6	15	CARDINAL
ejpam-6387	190	7	2h	MONEY
ejpam-6387	190	8	5	CARDINAL
ejpam-6387	190	9	1 y	CARDINAL
ejpam-6387	190	10	2	CARDINAL
ejpam-6387	191	1	2	CARDINAL
ejpam-6387	191	2	2	CARDINAL
ejpam-6387	192	1	1 y	QUANTITY
ejpam-6387	192	2	2 +my2	QUANTITY
ejpam-6387	196	1	m−	NORP
ejpam-6387	196	2	= βx+o(y	PERSON
ejpam-6387	196	3	4h	MONEY
ejpam-6387	196	4	log x	PERSON
ejpam-6387	196	5	βx+o	PERSON
ejpam-6387	196	6	4	CARDINAL
ejpam-6387	196	7	h−1(2	ORG
ejpam-6387	198	1	1	CARDINAL
ejpam-6387	198	2	0	CARDINAL
ejpam-6387	198	3	1	CARDINAL
ejpam-6387	198	4	o(t0.1	PERSON
ejpam-6387	198	5	βx+o	PERSON
ejpam-6387	198	6	9	CARDINAL
ejpam-6387	199	1	4h	MONEY
ejpam-6387	199	2	log x	PERSON
ejpam-6387	199	3	o(t0.9	PERSON
ejpam-6387	199	4	1	CARDINAL
ejpam-6387	199	5	1	CARDINAL
ejpam-6387	200	1	1	CARDINAL
ejpam-6387	201	1	first	ORDINAL
ejpam-6387	201	2	3 2	DATE
ejpam-6387	202	1	2 x2	QUANTITY
ejpam-6387	203	1	o	DATE
ejpam-6387	204	1	1− c)u+ log x f(u	PRODUCT
ejpam-6387	206	1	2− 1 f(log	DATE
ejpam-6387	206	2	3 2	DATE
ejpam-6387	206	3	1−	CARDINAL
ejpam-6387	206	4	2	MONEY
ejpam-6387	206	5	2 x2	QUANTITY
ejpam-6387	207	1	o	DATE
ejpam-6387	208	1	2	MONEY
ejpam-6387	210	1	2− 1 f(log	DATE
ejpam-6387	210	2	z. m. amen	PERSON
ejpam-6387	210	3	f. a. al-maamori	PERSON
ejpam-6387	210	4	m. f. hama	PERSON
ejpam-6387	211	1	j. pure	PERSON
ejpam-6387	211	2	18	CARDINAL
ejpam-6387	211	3	4	CARDINAL
ejpam-6387	211	4	2025	CARDINAL
ejpam-6387	211	5	6387 11	DATE
ejpam-6387	211	6	first	ORDINAL
ejpam-6387	211	7	2	MONEY
ejpam-6387	215	1	2	MONEY
ejpam-6387	217	1	o	DATE
ejpam-6387	218	1	2	MONEY
ejpam-6387	219	1	βx+o	PERSON
ejpam-6387	219	2	1	CARDINAL
ejpam-6387	219	3	2	CARDINAL
ejpam-6387	220	1	1	CARDINAL
ejpam-6387	220	2	2	CARDINAL
ejpam-6387	220	3	2	CARDINAL
ejpam-6387	220	4	half	CARDINAL
ejpam-6387	220	5	1	CARDINAL
ejpam-6387	221	1	1	CARDINAL
ejpam-6387	221	2	1− 1	CARDINAL
ejpam-6387	221	3	1−	TIME
ejpam-6387	223	1	1	CARDINAL
ejpam-6387	223	2	0	CARDINAL
ejpam-6387	224	1	1/2	CARDINAL
ejpam-6387	224	2	2 x2	QUANTITY
ejpam-6387	225	1	o	DATE
ejpam-6387	226	1	exp(−	CARDINAL
ejpam-6387	227	1	1du	ORDINAL
ejpam-6387	229	1	3	CARDINAL
ejpam-6387	229	2	half	CARDINAL
ejpam-6387	229	3	1	CARDINAL
ejpam-6387	230	1	2	CARDINAL
ejpam-6387	230	2	1− 1	CARDINAL
ejpam-6387	231	1	z. m. amen	PERSON
ejpam-6387	231	2	f. a. al-maamori	PERSON
ejpam-6387	231	3	m. f. hama	PERSON
ejpam-6387	232	1	j. pure	PERSON
ejpam-6387	232	2	18	CARDINAL
ejpam-6387	232	3	4	CARDINAL
ejpam-6387	232	4	2025	CARDINAL
ejpam-6387	232	5	6387 12	DATE
ejpam-6387	232	6	15	CARDINAL
ejpam-6387	233	1	third	ORDINAL
ejpam-6387	233	2	2	CARDINAL
ejpam-6387	233	3	and∣∣∣∣zp(x)−	ORG
ejpam-6387	233	4	2 x2	QUANTITY
ejpam-6387	233	5	o	DATE
ejpam-6387	234	1	1	CARDINAL
ejpam-6387	236	1	1	CARDINAL
ejpam-6387	237	1	2	CARDINAL
ejpam-6387	237	2	third	ORDINAL
ejpam-6387	237	3	2	CARDINAL
ejpam-6387	237	4	1	CARDINAL
ejpam-6387	237	5	2	CARDINAL
ejpam-6387	237	6	1	CARDINAL
ejpam-6387	237	7	4	CARDINAL
ejpam-6387	237	8	0	CARDINAL
ejpam-6387	237	9	1	CARDINAL
ejpam-6387	237	10	half	CARDINAL
ejpam-6387	237	11	1	CARDINAL
ejpam-6387	238	1	1	CARDINAL
ejpam-6387	238	2	2	CARDINAL
ejpam-6387	238	3	1− 1	CARDINAL
ejpam-6387	238	4	βx+o	PERSON
ejpam-6387	238	5	2	CARDINAL
ejpam-6387	239	1	1−	TIME
ejpam-6387	239	2	k =	ORG
ejpam-6387	242	1	1	CARDINAL
ejpam-6387	242	2	βx+o	PERSON
ejpam-6387	242	3	2h	CARDINAL
ejpam-6387	242	4	0	CARDINAL
ejpam-6387	242	5	1	CARDINAL
ejpam-6387	242	6	2	CARDINAL
ejpam-6387	242	7	0	CARDINAL
ejpam-6387	242	8	1 1−c	CARDINAL
ejpam-6387	243	1	h−1	ORG
ejpam-6387	245	1	βx+o	PERSON
ejpam-6387	245	2	2	CARDINAL
ejpam-6387	246	1	2	CARDINAL
ejpam-6387	246	2	1−	TIME
ejpam-6387	246	3	1	CARDINAL
ejpam-6387	246	4	2	CARDINAL
ejpam-6387	248	1	1	CARDINAL
ejpam-6387	254	1	log x	PERSON
ejpam-6387	255	1	h−1(log x	PERSON
ejpam-6387	255	2	x)n	NORP
ejpam-6387	255	3	log x n+1	PRODUCT
ejpam-6387	255	4	1/2	CARDINAL
ejpam-6387	256	1	1−	CARDINAL
ejpam-6387	257	1	2	CARDINAL
ejpam-6387	257	2	2	CARDINAL
ejpam-6387	257	3	1	CARDINAL
ejpam-6387	258	1	z. m. amen	PERSON
ejpam-6387	258	2	f. a. al-maamori	PERSON
ejpam-6387	258	3	m. f. hama	PERSON
ejpam-6387	259	1	j. pure	PERSON
ejpam-6387	259	2	18	CARDINAL
ejpam-6387	259	3	4	CARDINAL
ejpam-6387	259	4	2025	CARDINAL
ejpam-6387	259	5	6387 13	DATE
ejpam-6387	259	6	15 5	DATE
ejpam-6387	262	1	20	CARDINAL
ejpam-6387	262	2	pp.392	ORG
ejpam-6387	263	1	2	CARDINAL
ejpam-6387	263	2	σ	CARDINAL
ejpam-6387	265	1	1 2	DATE
ejpam-6387	265	2	3 2	CARDINAL
ejpam-6387	265	3	2 3	DATE
ejpam-6387	265	4	1 + t100(1−σ	QUANTITY
ejpam-6387	265	5	3 2	CARDINAL
ejpam-6387	265	6	2 3	CARDINAL
ejpam-6387	265	7	1 2	CARDINAL
ejpam-6387	265	8	3 2	CARDINAL
ejpam-6387	265	9	2 3 ≤	QUANTITY
ejpam-6387	265	10	1 2	CARDINAL
ejpam-6387	265	11	3 2	CARDINAL
ejpam-6387	265	12	1 3	CARDINAL
ejpam-6387	265	13	3 2	CARDINAL
ejpam-6387	265	14	3 2	CARDINAL
ejpam-6387	265	15	1 3	CARDINAL
ejpam-6387	265	16	3 2	CARDINAL
ejpam-6387	265	17	1 3	CARDINAL
ejpam-6387	265	18	3 2	CARDINAL
ejpam-6387	266	1	1 2	CARDINAL
ejpam-6387	266	2	1 3	CARDINAL
ejpam-6387	266	3	100(1−	CARDINAL
ejpam-6387	266	4	3 2	CARDINAL
ejpam-6387	266	5	1 2	CARDINAL
ejpam-6387	266	6	1 3	CARDINAL
ejpam-6387	266	7	1− σ	PRODUCT
ejpam-6387	266	8	3	CARDINAL
ejpam-6387	266	9	1 2	CARDINAL
ejpam-6387	266	10	100	CARDINAL
ejpam-6387	266	11	3 2	CARDINAL
ejpam-6387	267	1	1 2	CARDINAL
ejpam-6387	267	2	1 3	CARDINAL
ejpam-6387	267	3	100(1−	CARDINAL
ejpam-6387	267	4	3 2	CARDINAL
ejpam-6387	267	5	1 2	CARDINAL
ejpam-6387	267	6	1 3	CARDINAL
ejpam-6387	267	7	1− σ	PRODUCT
ejpam-6387	267	8	3	CARDINAL
ejpam-6387	267	9	1 2	CARDINAL
ejpam-6387	267	10	100	CARDINAL
ejpam-6387	267	11	t z. m. amen	PERSON
ejpam-6387	267	12	f. a. al-maamori	PERSON
ejpam-6387	267	13	m. f. hama	PERSON
ejpam-6387	268	1	j. pure	PERSON
ejpam-6387	268	2	18	CARDINAL
ejpam-6387	268	3	4	CARDINAL
ejpam-6387	268	4	2025	CARDINAL
ejpam-6387	268	5	6387 14 of 15	DATE
ejpam-6387	268	6	1 2	CARDINAL
ejpam-6387	268	7	100	CARDINAL
ejpam-6387	268	8	2 3	DATE
ejpam-6387	269	1	1 2	CARDINAL
ejpam-6387	269	2	100	CARDINAL
ejpam-6387	269	3	2 3	DATE
ejpam-6387	269	4	1−	TIME
ejpam-6387	269	5	1 2	CARDINAL
ejpam-6387	269	6	100	CARDINAL
ejpam-6387	269	7	2 3	CARDINAL
ejpam-6387	269	8	σ	ORG
ejpam-6387	272	1	1 2	CARDINAL
ejpam-6387	273	1	σ	ORG
ejpam-6387	273	2	2	CARDINAL
ejpam-6387	273	3	2	CARDINAL
ejpam-6387	274	1	1 10 o(t0.1	TIME
ejpam-6387	274	2	1−	TIME
ejpam-6387	274	3	1 10 + 1 3	DATE
ejpam-6387	274	4	100	CARDINAL
ejpam-6387	274	5	2	CARDINAL
ejpam-6387	274	6	1 2	CARDINAL
ejpam-6387	274	7	1−	TIME
ejpam-6387	274	8	1 2	CARDINAL
ejpam-6387	274	9	100	CARDINAL
ejpam-6387	274	10	2 3 9 10	TIME
ejpam-6387	274	11	1−	TIME
ejpam-6387	275	1	9	CARDINAL
ejpam-6387	275	2	100	CARDINAL
ejpam-6387	275	3	2 3 3	TIME
ejpam-6387	275	4	1−	TIME
ejpam-6387	275	5	3 2	CARDINAL
ejpam-6387	275	6	100	CARDINAL
ejpam-6387	275	7	2 3	DATE
ejpam-6387	275	8	1	CARDINAL
ejpam-6387	275	9	2	CARDINAL
ejpam-6387	276	1	6	CARDINAL
ejpam-6387	277	1	1	CARDINAL
ejpam-6387	278	1	first	ORDINAL
ejpam-6387	278	2	1	CARDINAL
ejpam-6387	279	1	second	ORDINAL
ejpam-6387	279	2	1	CARDINAL
ejpam-6387	279	3	2	CARDINAL
ejpam-6387	279	4	4	CARDINAL
ejpam-6387	280	1	1	CARDINAL
ejpam-6387	280	2	1	CARDINAL
ejpam-6387	280	3	2	CARDINAL
ejpam-6387	282	1	z. m. amen	PERSON
ejpam-6387	282	2	f. a. al-maamori	PERSON
ejpam-6387	282	3	m. f. hama	PERSON
ejpam-6387	283	1	j. pure	PERSON
ejpam-6387	283	2	18	CARDINAL
ejpam-6387	283	3	4	CARDINAL
ejpam-6387	283	4	2025	CARDINAL
ejpam-6387	283	5	6387 15	DATE
ejpam-6387	283	6	15	CARDINAL
ejpam-6387	283	7	1	CARDINAL
ejpam-6387	285	1	1976	DATE
ejpam-6387	286	1	2	CARDINAL
ejpam-6387	286	2	a. beurling	PERSON
ejpam-6387	287	1	de la loi	PERSON
ejpam-6387	287	2	de la	ORG
ejpam-6387	288	1	acta mathematica	PERSON
ejpam-6387	288	2	68:255–291, 1937	DATE
ejpam-6387	289	1	3	CARDINAL
ejpam-6387	289	2	h. g. diamond	PERSON
ejpam-6387	291	1	illinois journal of mathematics	ORG
ejpam-6387	291	2	14:12–28	DATE
ejpam-6387	291	3	1970	DATE
ejpam-6387	292	1	4	CARDINAL
ejpam-6387	292	2	p. t. bateman	PERSON
ejpam-6387	292	3	h. g. diamond	PERSON
ejpam-6387	294	1	152–212	CARDINAL
ejpam-6387	295	1	mathematical association of america	ORG
ejpam-6387	295	2	1969	DATE
ejpam-6387	296	1	5	CARDINAL
ejpam-6387	298	1	1969	DATE
ejpam-6387	299	1	6	CARDINAL
ejpam-6387	299	2	h. g. diamond	PERSON
ejpam-6387	301	1	illinois journal of mathematics	ORG
ejpam-6387	301	2	14:29–34, 1970	DATE
ejpam-6387	302	1	7	CARDINAL
ejpam-6387	304	1	angewandte mathematik	ORG
ejpam-6387	304	2	295:22–39, 1977	DATE
ejpam-6387	305	1	8	CARDINAL
ejpam-6387	306	1	sur le reste de la loi asymptotique de répartition des nombres premiers	ORG
ejpam-6387	307	1	acta mathematica	PERSON
ejpam-6387	307	2	106:281–298, 1961	DATE
ejpam-6387	308	1	9	CARDINAL
ejpam-6387	310	1	acta mathematica	PERSON
ejpam-6387	310	2	81:299–307, 1949	DATE
ejpam-6387	311	1	10	CARDINAL
ejpam-6387	311	2	r. s. hall	PERSON
ejpam-6387	313	1	phd thesis	ORG
ejpam-6387	313	2	university of illinois, usa, 1967	ORG
ejpam-6387	314	1	11	CARDINAL
ejpam-6387	314	2	j. p. kahane	PERSON
ejpam-6387	315	1	sur les nombres premiers	ORG
ejpam-6387	316	1	journal de théorie des nombres de bordeaux	ORG
ejpam-6387	316	2	9:251–266, 1997	DATE
ejpam-6387	317	1	12	CARDINAL
ejpam-6387	317	2	j. c. lagarias	PERSON
ejpam-6387	318	1	beurling	PERSON
ejpam-6387	319	1	mathematicum	PERSON
ejpam-6387	319	2	11:295–312, 1999	DATE
ejpam-6387	320	1	13	CARDINAL
ejpam-6387	320	2	w. zhang	PERSON
ejpam-6387	321	1	rh	ORG
ejpam-6387	322	1	mathematische annalen	PERSON
ejpam-6387	322	2	337:671–704	DATE
ejpam-6387	322	3	2007	DATE
ejpam-6387	323	1	14	CARDINAL
ejpam-6387	323	2	w. ramirez	PERSON
ejpam-6387	323	3	s. diaz	PERSON
ejpam-6387	324	1	apostol-euler	PERSON
ejpam-6387	325	1	21:604–608	CARDINAL
ejpam-6387	325	2	2022	CARDINAL
ejpam-6387	326	1	15	CARDINAL
ejpam-6387	326	2	f. al-maamori	PERSON
ejpam-6387	328	1	mathematica slovaca	PERSON
ejpam-6387	328	2	67:321–344	CARDINAL
ejpam-6387	328	3	2014	DATE
ejpam-6387	329	1	16	CARDINAL
ejpam-6387	329	2	l. lapidus	PERSON
ejpam-6387	331	1	96:21–48, 2006	DATE
ejpam-6387	332	1	17	CARDINAL
ejpam-6387	332	2	a. landau	PERSON
ejpam-6387	333	1	neuer beweis des	PERSON
ejpam-6387	333	2	und beweis des primidealsatzes	PERSON
ejpam-6387	334	1	mathematische annalen	PERSON
ejpam-6387	334	2	56:645–670	CARDINAL
ejpam-6387	334	3	1903	DATE
ejpam-6387	335	1	18	CARDINAL
ejpam-6387	335	2	h. montgomery	PERSON
ejpam-6387	335	3	h. diamond	PERSON
ejpam-6387	337	1	mathematische annalen	PERSON
ejpam-6387	337	2	334:1–36	CARDINAL
ejpam-6387	337	3	2006	DATE
ejpam-6387	338	1	19	CARDINAL
ejpam-6387	340	1	acta mathematica	PERSON
ejpam-6387	340	2	87:121–139,	DATE
ejpam-6387	340	3	1998	DATE
ejpam-6387	341	1	20	CARDINAL
ejpam-6387	341	2	f. al-maamori	PERSON
ejpam-6387	343	1	acta arithmetica	PERSON
ejpam-6387	343	2	2015	DATE
ejpam-6387	344	1	21	CARDINAL
ejpam-6387	344	2	e. c. titchmarsh	PERSON
ejpam-6387	346	1	wiley	ORG
ejpam-6387	346	2	new york	GPE
ejpam-6387	346	3	2 edition	QUANTITY
ejpam-6387	346	4	1985	DATE