id	sid	eid	entity	type
ejpam-3328	2	1	19	CARDINAL
ejpam-3328	3	1	--hilbert	PERSON
ejpam-3328	3	2	european	NORP
ejpam-3328	4	1	11	CARDINAL
ejpam-3328	4	2	4, 2018	DATE
ejpam-3328	4	3	1143-1176	CARDINAL
ejpam-3328	4	4	1307-5543	DATE
ejpam-3328	4	5	new york	GPE
ejpam-3328	4	6	astana	GPE
ejpam-3328	5	1	kazakhstan	GPE
ejpam-3328	10	1	poincaré–riemann	ORG
ejpam-3328	10	2	zeros	CARDINAL
ejpam-3328	11	1	2010	DATE
ejpam-3328	11	2	11	CARDINAL
ejpam-3328	11	3	millennium	DATE
ejpam-3328	11	4	dirichlet	PERSON
ejpam-3328	11	5	riemann	PERSON
ejpam-3328	11	6	hilbert	PERSON
ejpam-3328	11	7	poincaré	GPE
ejpam-3328	11	8	riemann hypothesis	PERSON
ejpam-3328	11	9	1	CARDINAL
ejpam-3328	13	1	three	CARDINAL
ejpam-3328	16	1	poincaré–riemann	ORG
ejpam-3328	16	2	zeros	CARDINAL
ejpam-3328	17	1	a. durmagambetov	PERSON
ejpam-3328	17	2	1143	CARDINAL
ejpam-3328	17	3	2018	DATE
ejpam-3328	18	1	a. durmagambetov / eur	PERSON
ejpam-3328	19	1	j. pure	PERSON
ejpam-3328	19	2	11	CARDINAL
ejpam-3328	19	3	4	CARDINAL
ejpam-3328	19	4	2018	DATE
ejpam-3328	19	5	1143-1176	CARDINAL
ejpam-3328	19	6	one	CARDINAL
ejpam-3328	19	7	one	CARDINAL
ejpam-3328	19	8	f̃	PRODUCT
ejpam-3328	26	1	f̃ = f̃exp(iatk	WORK_OF_ART
ejpam-3328	28	1	two	CARDINAL
ejpam-3328	32	1	1	CARDINAL
ejpam-3328	33	1	tao	PERSON
ejpam-3328	35	1	1	CARDINAL
ejpam-3328	36	1	w 1 2	MONEY
ejpam-3328	42	1	0	CARDINAL
ejpam-3328	43	1	1	CARDINAL
ejpam-3328	44	1	w 1 2	MONEY
ejpam-3328	47	1	riemann hilbert	ORG
ejpam-3328	47	2	a. durmagambetov / eur	PERSON
ejpam-3328	48	1	j. pure	PERSON
ejpam-3328	48	2	11	CARDINAL
ejpam-3328	48	3	4	CARDINAL
ejpam-3328	48	4	2018	DATE
ejpam-3328	48	5	1143-1176	CARDINAL
ejpam-3328	48	6	three	CARDINAL
ejpam-3328	48	7	k ∈	PERSON
ejpam-3328	48	8	2	CARDINAL
ejpam-3328	48	9	2	CARDINAL
ejpam-3328	49	1	|x| a(k	PERSON
ejpam-3328	50	1	θ ′	ORG
ejpam-3328	51	1	1	CARDINAL
ejpam-3328	51	2	3	CARDINAL
ejpam-3328	52	1	2	CARDINAL
ejpam-3328	52	2	k ∈ c̄+	ORG
ejpam-3328	52	3	imk	ORG
ejpam-3328	52	4	eik(θ	GPE
ejpam-3328	52	5	a(k	PERSON
ejpam-3328	53	1	1 4π	CARDINAL
ejpam-3328	53	2	xdx	PERSON
ejpam-3328	54	1	2	CARDINAL
ejpam-3328	54	2	3	CARDINAL
ejpam-3328	55	1	|x−	DATE
ejpam-3328	55	2	lippman	PERSON
ejpam-3328	56	1	∈	ORG
ejpam-3328	56	2	df = k ∫ s2 a(k	PERSON
ejpam-3328	56	3	θ ′	ORG
ejpam-3328	58	1	k ∈ c̄−	ORG
ejpam-3328	59	1	8	CARDINAL
ejpam-3328	59	2	x)−ψ−(k	GPE
ejpam-3328	61	1	4π	CARDINAL
ejpam-3328	61	2	θ ′ ,	ORG
ejpam-3328	62	1	k ∈ r.	PERSON
ejpam-3328	62	2	4	CARDINAL
ejpam-3328	62	3	newton	ORG
ejpam-3328	63	1	8,9	CARDINAL
ejpam-3328	64	1	10	CARDINAL
ejpam-3328	65	1	1	CARDINAL
ejpam-3328	66	1	|x− y|2	DATE
ejpam-3328	66	2	dxdy	PERSON
ejpam-3328	67	1	a. durmagambetov / eur	PERSON
ejpam-3328	68	1	j. pure	PERSON
ejpam-3328	68	2	11	CARDINAL
ejpam-3328	68	3	4	CARDINAL
ejpam-3328	68	4	2018	DATE
ejpam-3328	68	5	1143-1176 1146	CARDINAL
ejpam-3328	68	6	4	CARDINAL
ejpam-3328	68	7	x)ψ∗−	PERSON
ejpam-3328	69	1	9	CARDINAL
ejpam-3328	69	2	2	CARDINAL
ejpam-3328	70	1	1	CARDINAL
ejpam-3328	71	1	a(k	PERSON
ejpam-3328	71	2	θ ′	ORG
ejpam-3328	71	3	θ)−a(k	GPE
ejpam-3328	71	4	2π	CARDINAL
ejpam-3328	71	5	′′	ORG
ejpam-3328	72	1	′′	ORG
ejpam-3328	73	1	′′	ORG
ejpam-3328	74	1	3	CARDINAL
ejpam-3328	74	2	≤ 1	CARDINAL
ejpam-3328	74	3	4π)2	CARDINAL
ejpam-3328	74	4	|x− y|2	DATE
ejpam-3328	75	1	1	CARDINAL
ejpam-3328	76	1	+ 4π|q|l2(r3	DATE
ejpam-3328	77	1	1/2	CARDINAL
ejpam-3328	78	1	+ 4π|q|l2(r3	DATE
ejpam-3328	78	2	1−	TIME
ejpam-3328	78	3	+ 4π|q|l2(r3	DATE
ejpam-3328	79	1	1− α	DATE
ejpam-3328	79	2	−ψ0	ORG
ejpam-3328	81	1	+ 4π|q|l2(r3	DATE
ejpam-3328	81	2	1−	TIME
ejpam-3328	81	3	+ 4π|q|l2(r3	DATE
ejpam-3328	82	1	1− α	TIME
ejpam-3328	84	1	lippman	PERSON
ejpam-3328	84	2	+ 4π|q|l2(r3	DATE
ejpam-3328	85	1	1−	TIME
ejpam-3328	85	2	+ 4π|q|l2(r3	DATE
ejpam-3328	86	1	lippman	PERSON
ejpam-3328	86	2	−ψ0	ORG
ejpam-3328	87	1	∣∣∣∣ ≤ ∣∣∣∣∂gq∂k	DATE
ejpam-3328	87	2	∣∣∣∣gq∂	ORG
ejpam-3328	87	3	−ψ0	ORG
ejpam-3328	87	4	|gq|	ORG
ejpam-3328	87	5	a. durmagambetov / eur	PERSON
ejpam-3328	88	1	j. pure	PERSON
ejpam-3328	88	2	11	CARDINAL
ejpam-3328	88	3	4	CARDINAL
ejpam-3328	88	4	2018	DATE
ejpam-3328	88	5	1143-1176 1147∣∣∣∣∂(ψ+	DATE
ejpam-3328	89	1	∣∣∣∣ ≤	MONEY
ejpam-3328	89	2	+ 4π|q|l2(r3	DATE
ejpam-3328	89	3	∥∥∥∥∂(ψ+ −ψ0	ORG
ejpam-3328	91	1	+ 4π|q|l2(r3	DATE
ejpam-3328	91	2	1−	TIME
ejpam-3328	91	3	+ 4π|q|l2(r3	DATE
ejpam-3328	93	1	q(x)eik(θ−θ′	GPE
ejpam-3328	93	2	xdx	GPE
ejpam-3328	93	3	k(s	PERSON
ejpam-3328	93	4	x(x	ORG
ejpam-3328	94	1	q(s	GPE
ejpam-3328	95	1	i0	ORG
ejpam-3328	95	2	t−q = ∫	ORG
ejpam-3328	96	1	q(s	GPE
ejpam-3328	97	1	i0	ORG
ejpam-3328	97	2	2	CARDINAL
ejpam-3328	97	3	∈	ORG
ejpam-3328	97	4	1/2	CARDINAL
ejpam-3328	98	1	1−	TIME
ejpam-3328	98	2	1− α	TIME
ejpam-3328	100	1	lippman	PERSON
ejpam-3328	102	1	x)gqψ+dx	CARDINAL
ejpam-3328	103	1	+ 4π|q|l2(r3	DATE
ejpam-3328	103	2	1−	TIME
ejpam-3328	104	1	+ 4π|q|l2(r3	DATE
ejpam-3328	105	1	∥∥∥∂a+	CARDINAL
ejpam-3328	106	1	f ∈w 1 2	PRODUCT
ejpam-3328	106	2	1 2πi	CARDINAL
ejpam-3328	106	3	∞∫	ORG
ejpam-3328	106	4	f(s	GPE
ejpam-3328	106	5	0	CARDINAL
ejpam-3328	106	6	1	CARDINAL
ejpam-3328	106	7	2πi	ORDINAL
ejpam-3328	106	8	∞∫	ORG
ejpam-3328	106	9	f(s	GPE
ejpam-3328	106	10	1 2	CARDINAL
ejpam-3328	107	1	riemann	PERSON
ejpam-3328	107	2	φ	ORG
ejpam-3328	108	1	φ	ORG
ejpam-3328	108	2	two	CARDINAL
ejpam-3328	108	3	12	CARDINAL
ejpam-3328	108	4	a. durmagambetov / eur	PERSON
ejpam-3328	109	1	j. pure	PERSON
ejpam-3328	109	2	11	CARDINAL
ejpam-3328	109	3	4	CARDINAL
ejpam-3328	109	4	2018	DATE
ejpam-3328	109	5	1143-1176 1148	CARDINAL
ejpam-3328	109	6	3	CARDINAL
ejpam-3328	110	1	1 4	DATE
ejpam-3328	110	2	1 2	CARDINAL
ejpam-3328	110	3	2	CARDINAL
ejpam-3328	111	1	g(k	PERSON
ejpam-3328	111	2	4	CARDINAL
ejpam-3328	112	1	∈	ORG
ejpam-3328	112	2	n(q	PERSON
ejpam-3328	112	3	1	CARDINAL
ejpam-3328	112	4	g+ = g(k	PERSON
ejpam-3328	116	1	riemann	PERSON
ejpam-3328	117	1	5	CARDINAL
ejpam-3328	118	1	∈	ORG
ejpam-3328	118	2	n(q	PERSON
ejpam-3328	118	3	1	CARDINAL
ejpam-3328	118	4	g+ = g(k	PERSON
ejpam-3328	122	1	6	CARDINAL
ejpam-3328	123	1	∞∫	ORG
ejpam-3328	123	2	4π(p−	CARDINAL
ejpam-3328	124	1	k + i0	ORG
ejpam-3328	124	2	αdθ < 1/2	CARDINAL
ejpam-3328	125	1	∫ ∞	ORG
ejpam-3328	126	1	kj	ORG
ejpam-3328	127	1	− kj + i0	PERSON
ejpam-3328	127	2	dkj	GPE
ejpam-3328	132	1	kj	ORG
ejpam-3328	133	1	− kj + i0	PERSON
ejpam-3328	133	2	dkj	GPE
ejpam-3328	135	1	kj	ORG
ejpam-3328	136	1	− kj + i0	PERSON
ejpam-3328	136	2	dkj	GPE
ejpam-3328	136	3	2−n	CARDINAL
ejpam-3328	138	1	a. durmagambetov / eur	PERSON
ejpam-3328	139	1	j. pure	PERSON
ejpam-3328	139	2	11	CARDINAL
ejpam-3328	139	3	4	CARDINAL
ejpam-3328	139	4	2018	DATE
ejpam-3328	139	5	1143-1176 1149	CARDINAL
ejpam-3328	139	6	7	CARDINAL
ejpam-3328	140	1	k ∫ s2	ORG
ejpam-3328	141	1	dθ ≤	PERSON
ejpam-3328	142	1	1 2c	CARDINAL
ejpam-3328	142	2	k ∫ s2 |t−q̃k| dθ ≤	ORG
ejpam-3328	143	1	1 2c	CARDINAL
ejpam-3328	143	2	k ∫ s2 ∣∣t−qq̃k2	ORG
ejpam-3328	143	3	dθ ≤	FAC
ejpam-3328	144	1	1 2c	CARDINAL
ejpam-3328	144	2	1	CARDINAL
ejpam-3328	145	1	k ∫ s2	ORG
ejpam-3328	147	1	1− sup	TIME
ejpam-3328	147	2	k ∫ s2	ORG
ejpam-3328	147	3	1− ∣∣t− ∫s2 q̃kdθ	WORK_OF_ART
ejpam-3328	149	1	4	CARDINAL
ejpam-3328	150	1	1 4π	CARDINAL
ejpam-3328	150	2	xdx	PERSON
ejpam-3328	151	1	1 4π	CARDINAL
ejpam-3328	155	1	1 4π	CARDINAL
ejpam-3328	156	1	−t−d)nψ0	NORP
ejpam-3328	157	1	5	CARDINAL
ejpam-3328	157	2	6	CARDINAL
ejpam-3328	157	3	k ∫	ORG
ejpam-3328	159	1	dθ ≤ sup k ∫ s2	ORG
ejpam-3328	159	2	k ∫ s2 |t−ka|	ORG
ejpam-3328	160	1	2	CARDINAL
ejpam-3328	160	2	dθ	CARDINAL
ejpam-3328	160	3	1− sup	TIME
ejpam-3328	160	4	k ∫ s2 |t−ka| dθ	ORG
ejpam-3328	160	5	2	CARDINAL
ejpam-3328	162	1	k ∫ s2	ORG
ejpam-3328	163	1	dθ	CARDINAL
ejpam-3328	163	2	k ∫ s2 ∣∣∣∣ 1 4π	ORG
ejpam-3328	164	1	k ∫ s2 ∣∣t−aq̃k2	ORG
ejpam-3328	164	2	dθ + ∫ s2 ∣∣t−aq̃k2	ORG
ejpam-3328	164	3	dθ ∫ s2	ORG
ejpam-3328	164	4	dθ	PERSON
ejpam-3328	164	5	k ∫ s2 ∣∣t−aq̃k2	ORG
ejpam-3328	164	6	1−	ORDINAL
ejpam-3328	164	7	dθ ,	PERSON
ejpam-3328	164	8	a. durmagambetov / eur	PERSON
ejpam-3328	165	1	j. pure	PERSON
ejpam-3328	165	2	11	CARDINAL
ejpam-3328	165	3	4	CARDINAL
ejpam-3328	165	4	2018	DATE
ejpam-3328	165	5	1143-1176 1150	DATE
ejpam-3328	165	6	k ∫ s2 ∣∣t−aq̃k2	ORG
ejpam-3328	165	7	dθ	CARDINAL
ejpam-3328	165	8	k ∫ s2 ∣∣∣∣ 1 4π	ORG
ejpam-3328	165	9	2 ∣∣∣∣ dθ	QUANTITY
ejpam-3328	168	1	s|ε	NORP
ejpam-3328	170	1	θ(x	ORG
ejpam-3328	171	1	1	CARDINAL
ejpam-3328	171	2	0	CARDINAL
ejpam-3328	171	3	−1	DATE
ejpam-3328	172	1	8	CARDINAL
ejpam-3328	173	1	q,∇q ∈ ∩l2(r3	GPE
ejpam-3328	173	2	0	CARDINAL
ejpam-3328	175	1	∫ s∈mε(k	PERSON
ejpam-3328	177	1	∫ s∈mε(k	PERSON
ejpam-3328	181	1	jordan	GPE
ejpam-3328	182	1	9	CARDINAL
ejpam-3328	183	1	2	CARDINAL
ejpam-3328	183	2	i0	ORG
ejpam-3328	185	1	1	CARDINAL
ejpam-3328	185	2	1	CARDINAL
ejpam-3328	192	1	jordan	GPE
ejpam-3328	192	2	first	ORDINAL
ejpam-3328	193	1	second	ORDINAL
ejpam-3328	193	2	2dθ′′dθ′dk	CARDINAL
ejpam-3328	196	1	a. durmagambetov / eur	PERSON
ejpam-3328	197	1	j. pure	PERSON
ejpam-3328	197	2	11	CARDINAL
ejpam-3328	197	3	4	CARDINAL
ejpam-3328	197	4	2018	DATE
ejpam-3328	197	5	1143-1176 1151	CARDINAL
ejpam-3328	197	6	8	CARDINAL
ejpam-3328	197	7	cos(θ′)− k cos(θ))q̃(k cos(θ)− k	PERSON
ejpam-3328	198	1	3θ(cos(θ′′))dθ′dθ′′dθdk−	CARDINAL
ejpam-3328	199	1	cos(θ′)− k cos(θ))q̃(k cos(θ)− k	PERSON
ejpam-3328	199	2	3θ(− cos(θ′′))dθ′dθ′′dθdk	DATE
ejpam-3328	200	1	θ′	DATE
ejpam-3328	200	2	θ′′	PRODUCT
ejpam-3328	200	3	second	ORDINAL
ejpam-3328	201	1	10	CARDINAL
ejpam-3328	203	1	1 2c	CARDINAL
ejpam-3328	204	1	1 2c	CARDINAL
ejpam-3328	204	2	1 2c	CARDINAL
ejpam-3328	204	3	1	CARDINAL
ejpam-3328	204	4	0	CARDINAL
ejpam-3328	204	5	1	DATE
ejpam-3328	204	6	2	CARDINAL
ejpam-3328	205	1	θ′	DATE
ejpam-3328	206	1	− θ′))kldkdθ′dθ ∣∣∣∣	PERSON
ejpam-3328	207	1	qtkakldθ′′dθ′dk ∣∣∣∣	PERSON
ejpam-3328	207	2	θ′	DATE
ejpam-3328	207	3	1	CARDINAL
ejpam-3328	209	1	3	CARDINAL
ejpam-3328	209	2	4	DATE
ejpam-3328	209	3	jordan	GPE
ejpam-3328	210	1	θ ′	ORG
ejpam-3328	211	1	1 4π	CARDINAL
ejpam-3328	211	2	∫ s2 ∫ s2	ORG
ejpam-3328	213	1	1 4π	CARDINAL
ejpam-3328	213	2	∫	ORG
ejpam-3328	214	1	r3 q(x	PERSON
ejpam-3328	215	1	−t−d)nψ0	NORP
ejpam-3328	215	2	e−ikθ′xkldθ′dxdk	CARDINAL
ejpam-3328	217	1	′′	ORG
ejpam-3328	217	2	′ xq(x)eisθ ′′x	GPE
ejpam-3328	218	1	qtkakldθ′′dθ′dk ∣∣∣∣	PERSON
ejpam-3328	219	1	a. durmagambetov / eur	PERSON
ejpam-3328	220	1	j. pure	PERSON
ejpam-3328	220	2	11	CARDINAL
ejpam-3328	220	3	4	CARDINAL
ejpam-3328	220	4	2018	DATE
ejpam-3328	220	5	1143-1176 1152	DATE
ejpam-3328	220	6	qtkakldθ′′dθ′dk ∣∣∣∣	PERSON
ejpam-3328	221	1	θ′	DATE
ejpam-3328	222	1	1	CARDINAL
ejpam-3328	223	1	θ′	PRODUCT
ejpam-3328	223	2	1	CARDINAL
ejpam-3328	225	1	11	CARDINAL
ejpam-3328	226	1	k ∫ s2	ORG
ejpam-3328	226	2	∞∫	ORG
ejpam-3328	226	3	4π(p−	CARDINAL
ejpam-3328	226	4	k + i0	ORG
ejpam-3328	226	5	1/2	CARDINAL
ejpam-3328	226	6	k ∣∣∣pa(p	ORG
ejpam-3328	226	7	∣∣∣	CARDINAL
ejpam-3328	226	8	1/2	CARDINAL
ejpam-3328	227	1	1− α	TIME
ejpam-3328	227	2	1− α	TIME
ejpam-3328	229	1	1− α	TIME
ejpam-3328	229	2	∣∣∣∣c0 ( ‖q‖2l2(r3)	ORG
ejpam-3328	232	1	x)−ψ−(k	GPE
ejpam-3328	233	1	4π	CARDINAL
ejpam-3328	233	2	θ ′ ,	ORG
ejpam-3328	234	1	k ∈	PERSON
ejpam-3328	236	1	a. durmagambetov / eur	PERSON
ejpam-3328	237	1	j. pure	PERSON
ejpam-3328	237	2	11	CARDINAL
ejpam-3328	237	3	4	CARDINAL
ejpam-3328	237	4	2018	DATE
ejpam-3328	237	5	1143-1176 1153	CARDINAL
ejpam-3328	237	6	4	CARDINAL
ejpam-3328	237	7	∫ ∞	ORG
ejpam-3328	238	1	∫ ∞	PERSON
ejpam-3328	239	1	kj	ORG
ejpam-3328	241	1	kj	ORG
ejpam-3328	241	2	kj	ORG
ejpam-3328	241	3	dk1	GPE
ejpam-3328	242	1	2nαn	DATE
ejpam-3328	242	2	2α	CARDINAL
ejpam-3328	242	3	1− 2α	CARDINAL
ejpam-3328	248	1	ik − sin(kr	PERSON
ejpam-3328	248	2	ik2r	ORG
ejpam-3328	251	1	ik2r	ORG
ejpam-3328	253	1	1 k	QUANTITY
ejpam-3328	253	2	1−	TIME
ejpam-3328	253	3	kr = π	ORG
ejpam-3328	253	4	1 k	QUANTITY
ejpam-3328	254	1	1	CARDINAL
ejpam-3328	254	2	k − t)2	ORG
ejpam-3328	254	3	2	CARDINAL
ejpam-3328	256	1	2k	CARDINAL
ejpam-3328	257	1	λ ∫ s2	ORG
ejpam-3328	257	2	2k	CARDINAL
ejpam-3328	258	1	n≥1 ∫ s2 wn λ ∫ s2	ORG
ejpam-3328	259	1	z(k	ORG
ejpam-3328	259	2	2k + 2k2	DATE
ejpam-3328	263	1	a. durmagambetov / eur	PERSON
ejpam-3328	264	1	j. pure	PERSON
ejpam-3328	264	2	11	CARDINAL
ejpam-3328	264	3	4	CARDINAL
ejpam-3328	264	4	2018	DATE
ejpam-3328	264	5	1143-1176 1154	CARDINAL
ejpam-3328	266	1	+	CARDINAL
ejpam-3328	266	2	2	CARDINAL
ejpam-3328	266	3	2	CARDINAL
ejpam-3328	266	4	sn − sn−1	ORG
ejpam-3328	266	5	6	CARDINAL
ejpam-3328	266	6	2	CARDINAL
ejpam-3328	267	1	10	CARDINAL
ejpam-3328	271	1	θ′))ψ0dkdθdθ ′	DATE
ejpam-3328	271	2	1 k0	QUANTITY
ejpam-3328	271	3	1−α	CARDINAL
ejpam-3328	272	1	|q(x)|α+ c0 ‖q‖2l2(r3	ORG
ejpam-3328	275	1	∣∣∣∣c0 ( ‖q‖2l2(r3) + 1	ORG
ejpam-3328	276	1	4.	CARDINAL
ejpam-3328	276	2	three	CARDINAL
ejpam-3328	278	1	three	CARDINAL
ejpam-3328	278	2	five	CARDINAL
ejpam-3328	279	1	two	CARDINAL
ejpam-3328	280	1	a. durmagambetov / eur	PERSON
ejpam-3328	281	1	j. pure	PERSON
ejpam-3328	281	2	11	CARDINAL
ejpam-3328	281	3	4	CARDINAL
ejpam-3328	281	4	2018	DATE
ejpam-3328	281	5	1143-1176	DATE
ejpam-3328	281	6	5	CARDINAL
ejpam-3328	284	1	13–17	CARDINAL
ejpam-3328	294	1	− ν∆~v	PERSON
ejpam-3328	294	2	0	CARDINAL
ejpam-3328	294	3	7	CARDINAL
ejpam-3328	294	4	~v0(x	WORK_OF_ART
ejpam-3328	294	5	0	CARDINAL
ejpam-3328	294	6	0	CARDINAL
ejpam-3328	295	1	9	CARDINAL
ejpam-3328	295	2	7)–(9	CARDINAL
ejpam-3328	295	3	at least one	CARDINAL
ejpam-3328	296	1	16	CARDINAL
ejpam-3328	297	1	15	CARDINAL
ejpam-3328	297	2	4	CARDINAL
ejpam-3328	298	1	∈w 1 2	EVENT
ejpam-3328	298	2	7)–(9	CARDINAL
ejpam-3328	299	1	0	CARDINAL
ejpam-3328	299	2	∈	ORG
ejpam-3328	301	1	a. durmagambetov / eur	PERSON
ejpam-3328	302	1	j. pure	PERSON
ejpam-3328	302	2	11	CARDINAL
ejpam-3328	302	3	4	CARDINAL
ejpam-3328	302	4	2018	DATE
ejpam-3328	302	5	1143-1176 1156	CARDINAL
ejpam-3328	302	6	12	CARDINAL
ejpam-3328	303	1	∈w 2 2	EVENT
ejpam-3328	303	2	∈	ORG
ejpam-3328	303	3	7)–(9	CARDINAL
ejpam-3328	303	4	0≤t≤t ||~v||2l2(r3	CARDINAL
ejpam-3328	304	1	0 ||∇~v||2l2(r3)dτ ≤ ||~v0||2l2(r3	MONEY
ejpam-3328	305	1	||l2(qt	GPE
ejpam-3328	305	2	0≤t≤t ||	QUANTITY
ejpam-3328	309	1	13	CARDINAL
ejpam-3328	310	1	∈	ORG
ejpam-3328	310	2	2 2	CARDINAL
ejpam-3328	310	3	∈	ORG
ejpam-3328	311	1	2 2	CARDINAL
ejpam-3328	311	2	∈	ORG
ejpam-3328	312	1	7)–(9	CARDINAL
ejpam-3328	315	1	fkk′	CARDINAL
ejpam-3328	315	2	x)−i(x,k′)f(x)dx	ORG
ejpam-3328	315	3	~̃v(k	NORP
ejpam-3328	316	1	k, k′	ORG
ejpam-3328	317	1	x)−i(x	PERSON
ejpam-3328	318	1	14	CARDINAL
ejpam-3328	319	1	∈	ORG
ejpam-3328	319	2	2 2	CARDINAL
ejpam-3328	319	3	∈	ORG
ejpam-3328	319	4	∣∣∣	CARDINAL
ejpam-3328	319	5	7)–(9	CARDINAL
ejpam-3328	319	6	4	CARDINAL
ejpam-3328	319	7	c0||v||l2(r3	ORG
ejpam-3328	321	1	a. durmagambetov / eur	PERSON
ejpam-3328	322	1	j. pure	PERSON
ejpam-3328	322	2	11	CARDINAL
ejpam-3328	322	3	4	CARDINAL
ejpam-3328	322	4	2018	DATE
ejpam-3328	322	5	1143-1176 1157	DATE
ejpam-3328	325	1	0 e−νk 2(t−τ)fk	QUANTITY
ejpam-3328	328	1	ν(t− τ	PERSON
ejpam-3328	328	2	121	CARDINAL
ejpam-3328	328	3	23	CARDINAL
ejpam-3328	328	4	11	CARDINAL
ejpam-3328	329	1	8β2d0	CARDINAL
ejpam-3328	329	2	a√ 2β	PERSON
ejpam-3328	329	3	0 e−νk 2(t−τ)fk	QUANTITY
ejpam-3328	330	1	0	CARDINAL
ejpam-3328	330	2	8β2d0	CARDINAL
ejpam-3328	330	3	a√ 2β	ORG
ejpam-3328	332	1	15	CARDINAL
ejpam-3328	333	1	∈	ORG
ejpam-3328	333	2	2 2	CARDINAL
ejpam-3328	333	3	∈	ORG
ejpam-3328	333	4	∣∣∣	CARDINAL
ejpam-3328	334	1	7)–(9	CARDINAL
ejpam-3328	334	2	4	CARDINAL
ejpam-3328	334	3	k, k′)|	ORG
ejpam-3328	334	4	k|~v	PERSON
ejpam-3328	334	5	k, k′)|	ORG
ejpam-3328	334	6	1−	TIME
ejpam-3328	337	1	~̇v = −fkk′[(~v,∇)~v	ORG
ejpam-3328	343	1	a. durmagambetov / eur	PERSON
ejpam-3328	344	1	j. pure	PERSON
ejpam-3328	344	2	11	CARDINAL
ejpam-3328	344	3	4	CARDINAL
ejpam-3328	344	4	2018	DATE
ejpam-3328	344	5	1143-1176 1158	CARDINAL
ejpam-3328	345	1	c0 ∫	ORG
ejpam-3328	346	1	1− cos(θ))(t−	ORG
ejpam-3328	347	1	121	CARDINAL
ejpam-3328	347	2	23	CARDINAL
ejpam-3328	347	3	11	CARDINAL
ejpam-3328	350	1	8β2d0	CARDINAL
ejpam-3328	350	2	a√ 2β	PERSON
ejpam-3328	352	1	0	CARDINAL
ejpam-3328	352	2	8β2d0	CARDINAL
ejpam-3328	352	3	a√ 2β	ORG
ejpam-3328	353	1	5	CARDINAL
ejpam-3328	354	1	∈	ORG
ejpam-3328	354	2	2 2	CARDINAL
ejpam-3328	354	3	∈	ORG
ejpam-3328	355	1	∈	ORG
ejpam-3328	355	2	2	CARDINAL
ejpam-3328	355	3	∣∣∣	CARDINAL
ejpam-3328	355	4	7)–(9	CARDINAL
ejpam-3328	355	5	4	CARDINAL
ejpam-3328	359	1	− ν∆~v	PERSON
ejpam-3328	359	2	0	CARDINAL
ejpam-3328	359	3	10	CARDINAL
ejpam-3328	359	4	~v0(x	WORK_OF_ART
ejpam-3328	359	5	11	CARDINAL
ejpam-3328	359	6	0	CARDINAL
ejpam-3328	359	7	0	CARDINAL
ejpam-3328	360	1	12	CARDINAL
ejpam-3328	360	2	t ε .	ORG
ejpam-3328	361	1	a. durmagambetov / eur	PERSON
ejpam-3328	362	1	j. pure	PERSON
ejpam-3328	362	2	11	CARDINAL
ejpam-3328	362	3	4	CARDINAL
ejpam-3328	362	4	2018	DATE
ejpam-3328	362	5	1143-1176 1159	DATE
ejpam-3328	365	1	0	CARDINAL
ejpam-3328	365	2	13	CARDINAL
ejpam-3328	365	3	14	CARDINAL
ejpam-3328	365	4	0	CARDINAL
ejpam-3328	365	5	0	CARDINAL
ejpam-3328	366	1	15	CARDINAL
ejpam-3328	367	1	k ∈	PERSON
ejpam-3328	367	2	12-15	CARDINAL
ejpam-3328	367	3	kai	GPE
ejpam-3328	367	4	k~vi	PERSON
ejpam-3328	367	5	tk~vi	PERSON
ejpam-3328	367	6	tkṽi	GPE
ejpam-3328	367	7	tk 2v	PERSON
ejpam-3328	369	1	π k0	ORG
ejpam-3328	369	2	11	CARDINAL
ejpam-3328	374	1	c1 νε ||(∇~v)||2l2(r3)||(~v)||2l2(r3	PERSON
ejpam-3328	376	1	α(s	PERSON
ejpam-3328	377	1	c1 νε ||(∇~v)||2l2(r3)||(~v)||2l2(r3	PERSON
ejpam-3328	377	2	1	CARDINAL
ejpam-3328	377	3	c1 νε ||(∇~v)||2l2(r3)||(~v)||2l2(r3	PERSON
ejpam-3328	380	1	4	CARDINAL
ejpam-3328	383	1	2c0	CARDINAL
ejpam-3328	383	2	+e2c0	NORP
ejpam-3328	384	1	5	CARDINAL
ejpam-3328	385	1	a. durmagambetov / eur	PERSON
ejpam-3328	386	1	j. pure	PERSON
ejpam-3328	386	2	11	CARDINAL
ejpam-3328	386	3	4	CARDINAL
ejpam-3328	386	4	2018	DATE
ejpam-3328	386	5	1143-1176	CARDINAL
ejpam-3328	386	6	poincaré–riemann	ORG
ejpam-3328	386	7	hilbert	PERSON
ejpam-3328	392	1	18–20	CARDINAL
ejpam-3328	393	1	7	CARDINAL
ejpam-3328	393	2	riemann	PERSON
ejpam-3328	393	3	poincaré–riemann	ORG
ejpam-3328	393	4	hilbert	PERSON
ejpam-3328	394	1	riemann’s zeta function	ORG
ejpam-3328	395	1	1 ns	QUANTITY
ejpam-3328	395	2	16	CARDINAL
ejpam-3328	395	3	1 +	CARDINAL
ejpam-3328	395	4	0	CARDINAL
ejpam-3328	396	1	1	CARDINAL
ejpam-3328	397	1	17	CARDINAL
ejpam-3328	398	1	1737	CARDINAL
ejpam-3328	399	1	21	CARDINAL
ejpam-3328	399	2	22	CARDINAL
ejpam-3328	400	1	dirichlet	PERSON
ejpam-3328	400	2	22	CARDINAL
ejpam-3328	401	1	ζ(z	ORG
ejpam-3328	402	1	1876	DATE
ejpam-3328	402	2	riemann	PERSON
ejpam-3328	402	3	23	CARDINAL
ejpam-3328	403	1	1/(s(s− 1	DATE
ejpam-3328	404	1	+ +∞∫ 1 (xs/2−1 +	DATE
ejpam-3328	404	2	18	CARDINAL
ejpam-3328	404	3	θ(x	ORG
ejpam-3328	405	1	a. durmagambetov / eur	PERSON
ejpam-3328	406	1	j. pure	PERSON
ejpam-3328	406	2	11	CARDINAL
ejpam-3328	406	3	4	CARDINAL
ejpam-3328	406	4	2018	DATE
ejpam-3328	406	5	1143-1176 1161	DATE
ejpam-3328	406	6	1	CARDINAL
ejpam-3328	406	7	1	CARDINAL
ejpam-3328	408	1	19	CARDINAL
ejpam-3328	408	2	riemann	PERSON
ejpam-3328	409	1	riemann	PERSON
ejpam-3328	412	1	24	CARDINAL
ejpam-3328	413	1	25–27	CARDINAL
ejpam-3328	414	1	riemann	PERSON
ejpam-3328	414	2	quantum	ORG
ejpam-3328	417	1	j≥1 1	DATE
ejpam-3328	418	1	1 +	CARDINAL
ejpam-3328	418	2	0	CARDINAL
ejpam-3328	418	3	{pj :	PERSON
ejpam-3328	421	1	f(s	GPE
ejpam-3328	422	1	1 +	CARDINAL
ejpam-3328	422	2	0	CARDINAL
ejpam-3328	423	1	20	CARDINAL
ejpam-3328	423	2	first	ORDINAL
ejpam-3328	423	3	28	CARDINAL
ejpam-3328	424	1	riemann	PERSON
ejpam-3328	425	1	29	CARDINAL
ejpam-3328	428	1	riemann	PERSON
ejpam-3328	430	1	∏ n>1	GPE
ejpam-3328	430	2	1− 1	DATE
ejpam-3328	431	1	c(s	ORG
ejpam-3328	432	1	pn ≡ n	ORG
ejpam-3328	432	2	riemann	PERSON
ejpam-3328	434	1	first	ORDINAL
ejpam-3328	434	2	landau	PERSON
ejpam-3328	434	3	a. durmagambetov / eur	PERSON
ejpam-3328	435	1	j. pure	PERSON
ejpam-3328	435	2	11	CARDINAL
ejpam-3328	435	3	4	CARDINAL
ejpam-3328	435	4	2018	DATE
ejpam-3328	435	5	1143-1176 1162	DATE
ejpam-3328	436	1	30	CARDINAL
ejpam-3328	437	1	31	CARDINAL
ejpam-3328	437	2	32	CARDINAL
ejpam-3328	439	1	landau	PERSON
ejpam-3328	440	1	1 +	CARDINAL
ejpam-3328	440	2	0	CARDINAL
ejpam-3328	441	1	0	CARDINAL
ejpam-3328	443	1	first	ORDINAL
ejpam-3328	445	1	zeros	CARDINAL
ejpam-3328	448	1	riemann	PERSON
ejpam-3328	448	2	riemann	PERSON
ejpam-3328	450	1	8	CARDINAL
ejpam-3328	450	2	first	ORDINAL
ejpam-3328	451	1	zeros	CARDINAL
ejpam-3328	451	2	d(n	PERSON
ejpam-3328	452	1	s|0.1	ORG
ejpam-3328	452	2	0.9	CARDINAL
ejpam-3328	452	3	im(s	ORG
ejpam-3328	452	4	6=	CARDINAL
ejpam-3328	452	5	d(n	PERSON
ejpam-3328	453	1	s|0.1	ORG
ejpam-3328	453	2	0.9	CARDINAL
ejpam-3328	453	3	6=	CARDINAL
ejpam-3328	454	1	ζ(sn	PERSON
ejpam-3328	454	2	0	CARDINAL
ejpam-3328	454	3	ζ(1− sn	PERSON
ejpam-3328	454	4	0	CARDINAL
ejpam-3328	454	5	ζ(1− sn+1	PERSON
ejpam-3328	454	6	ζ(1− sn	PERSON
ejpam-3328	456	1	d(n	GPE
ejpam-3328	456	2	1	CARDINAL
ejpam-3328	457	1	a. durmagambetov / eur	PERSON
ejpam-3328	458	1	j. pure	PERSON
ejpam-3328	458	2	11	CARDINAL
ejpam-3328	458	3	4	CARDINAL
ejpam-3328	458	4	2018	DATE
ejpam-3328	458	5	1143-1176 1163	CARDINAL
ejpam-3328	458	6	1	CARDINAL
ejpam-3328	458	7	0	CARDINAL
ejpam-3328	459	1	1/2+ε1/2−ε 1	DATE
ejpam-3328	459	2	d(n	PERSON
ejpam-3328	459	3	d(n	PERSON
ejpam-3328	459	4	6	CARDINAL
ejpam-3328	460	1	2	CARDINAL
ejpam-3328	466	1	d(n	PERSON
ejpam-3328	467	1	riemann	PERSON
ejpam-3328	469	1	q(s	GPE
ejpam-3328	470	1	ln(|ζ(s)|	PERSON
ejpam-3328	471	1	7	CARDINAL
ejpam-3328	472	1	2	CARDINAL
ejpam-3328	474	1	q(s	PERSON
ejpam-3328	479	1	19)for	CARDINAL
ejpam-3328	479	2	q(s	PERSON
ejpam-3328	480	1	a. durmagambetov / eur	PERSON
ejpam-3328	481	1	j. pure	PERSON
ejpam-3328	481	2	11	CARDINAL
ejpam-3328	481	3	4	CARDINAL
ejpam-3328	481	4	2018	DATE
ejpam-3328	481	5	1143-1176 1164	DATE
ejpam-3328	481	6	0	CARDINAL
ejpam-3328	481	7	2ε	CARDINAL
ejpam-3328	481	8	νε(s	ORG
ejpam-3328	482	1	1	CARDINAL
ejpam-3328	482	2	1/2− 2ε	DATE
ejpam-3328	482	3	νε(s	ORG
ejpam-3328	483	1	0	CARDINAL
ejpam-3328	483	2	1/2− 2ε	DATE
ejpam-3328	484	1	1/2	CARDINAL
ejpam-3328	484	2	νε(s	ORG
ejpam-3328	485	1	1	CARDINAL
ejpam-3328	485	2	1/2	CARDINAL
ejpam-3328	485	3	1− 2ε	CARDINAL
ejpam-3328	485	4	νε(s	ORG
ejpam-3328	485	5	0	CARDINAL
ejpam-3328	485	6	1− 2ε	CARDINAL
ejpam-3328	485	7	ψ(t	FAC
ejpam-3328	485	8	1	CARDINAL
ejpam-3328	485	9	1	CARDINAL
ejpam-3328	485	10	1 σ	QUANTITY
ejpam-3328	485	11	1∫	CARDINAL
ejpam-3328	485	12	1 t2−1dt	CARDINAL
ejpam-3328	485	13	ψ(t	FAC
ejpam-3328	485	14	0	CARDINAL
ejpam-3328	485	15	1	CARDINAL
ejpam-3328	487	1	16	CARDINAL
ejpam-3328	489	1	νε(1− x	PERSON
ejpam-3328	490	1	µε(1−	ORG
ejpam-3328	493	1	νε(1− x	PERSON
ejpam-3328	497	1	ψ(s/ε)νε(1− x+ s)ds/ε	WORK_OF_ART
ejpam-3328	497	2	µε(1−	ORG
ejpam-3328	498	1	17	CARDINAL
ejpam-3328	500	1	1− 3ε	CARDINAL
ejpam-3328	501	1	1	CARDINAL
ejpam-3328	504	1	ψ(s	PRODUCT
ejpam-3328	505	1	ψ(s/ε)ds	ORG
ejpam-3328	505	2	1	CARDINAL
ejpam-3328	505	3	r(k	ORG
ejpam-3328	505	4	qε(1−	PERSON
ejpam-3328	506	1	s)µε(1− re(s	PERSON
ejpam-3328	507	1	r(k	ORG
ejpam-3328	508	1	k − ia + 1	ORG
ejpam-3328	508	2	2π	CARDINAL
ejpam-3328	508	3	1−ε	CARDINAL
ejpam-3328	508	4	2π	CARDINAL
ejpam-3328	508	5	1−ε	CARDINAL
ejpam-3328	508	6	ε µε(1−	ORG
ejpam-3328	508	7	2π	CARDINAL
ejpam-3328	508	8	1−ε	CARDINAL
ejpam-3328	508	9	2π	CARDINAL
ejpam-3328	508	10	0.9 0.1	CARDINAL
ejpam-3328	508	11	2π	CARDINAL
ejpam-3328	508	12	1−ε	CARDINAL
ejpam-3328	508	13	2π	CARDINAL
ejpam-3328	508	14	1−ε	CARDINAL
ejpam-3328	509	1	21	CARDINAL
ejpam-3328	509	2	riemann	PERSON
ejpam-3328	510	1	a. durmagambetov / eur	PERSON
ejpam-3328	511	1	j. pure	PERSON
ejpam-3328	511	2	11	CARDINAL
ejpam-3328	511	3	4	CARDINAL
ejpam-3328	511	4	2018	DATE
ejpam-3328	511	5	1143-1176 1165	CARDINAL
ejpam-3328	511	6	18	CARDINAL
ejpam-3328	512	1	2	CARDINAL
ejpam-3328	515	1	1	CARDINAL
ejpam-3328	515	2	2πi	ORDINAL
ejpam-3328	516	1	r(k	PRODUCT
ejpam-3328	516	2	dk	PERSON
ejpam-3328	516	3	1	CARDINAL
ejpam-3328	516	4	2	CARDINAL
ejpam-3328	516	5	r(k	ORG
ejpam-3328	517	1	jordan	GPE
ejpam-3328	517	2	0	CARDINAL
ejpam-3328	518	1	19	CARDINAL
ejpam-3328	519	1	2	CARDINAL
ejpam-3328	520	1	half	CARDINAL
ejpam-3328	523	1	1 +	DATE
ejpam-3328	523	2	[ eik k − ia	PERSON
ejpam-3328	523	3	0	CARDINAL
ejpam-3328	524	1	ω(s	ORG
ejpam-3328	524	2	sn	ORG
ejpam-3328	524	3	ω(s	ORG
ejpam-3328	524	4	s−sn)ρ(sn)(s−1+sn)ρ(sn	PERSON
ejpam-3328	525	1	1−s	CARDINAL
ejpam-3328	525	2	sn	ORG
ejpam-3328	525	3	34	CARDINAL
ejpam-3328	525	4	backlund r. let ζ(sn	PERSON
ejpam-3328	528	1	20	CARDINAL
ejpam-3328	529	1	1 4ρ(sn	PERCENT
ejpam-3328	530	1	0	CARDINAL
ejpam-3328	531	1	1−ε	CARDINAL
ejpam-3328	532	1	1−ε	CARDINAL
ejpam-3328	533	1	1−ε	CARDINAL
ejpam-3328	533	2	1−ε	CARDINAL
ejpam-3328	533	3	cncεncγ	PERSON
ejpam-3328	534	1	a. durmagambetov / eur	PERSON
ejpam-3328	535	1	j. pure	PERSON
ejpam-3328	535	2	11	CARDINAL
ejpam-3328	535	3	4	CARDINAL
ejpam-3328	535	4	2018	DATE
ejpam-3328	535	5	1143-1176 1166	DATE
ejpam-3328	536	1	1−ε	CARDINAL
ejpam-3328	537	1	1−ε	CARDINAL
ejpam-3328	537	2	1−ε	CARDINAL
ejpam-3328	537	3	max s∈d(n)∪d(n	PERSON
ejpam-3328	537	4	ζ(s	PRODUCT
ejpam-3328	537	5	ζ(s	PRODUCT
ejpam-3328	538	1	+ 1	DATE
ejpam-3328	538	2	1−ε	CARDINAL
ejpam-3328	540	1	21	CARDINAL
ejpam-3328	541	1	3/4 + iα	MONEY
ejpam-3328	542	1	lim	PERSON
ejpam-3328	542	2	0	CARDINAL
ejpam-3328	542	3	lim	PERSON
ejpam-3328	542	4	0	CARDINAL
ejpam-3328	542	5	22	CARDINAL
ejpam-3328	542	6	0	CARDINAL
ejpam-3328	542	7	lim re(k)→∞	PERSON
ejpam-3328	542	8	lim re(k)→∞ jε(k	PERSON
ejpam-3328	543	1	0	CARDINAL
ejpam-3328	544	1	23	CARDINAL
ejpam-3328	545	1	20	CARDINAL
ejpam-3328	545	2	1−ε	CARDINAL
ejpam-3328	546	1	1/2 1 |im(k)|1/2	DATE
ejpam-3328	548	1	2π	CARDINAL
ejpam-3328	548	2	1−ε	CARDINAL
ejpam-3328	549	1	0	CARDINAL
ejpam-3328	549	2	5	CARDINAL
ejpam-3328	549	3	1−ε	CARDINAL
ejpam-3328	549	4	1/2 1 |im(k)|1/2	DATE
ejpam-3328	550	1	0	CARDINAL
ejpam-3328	550	2	riemann	PERSON
ejpam-3328	550	3	lebesgue lemma	PERSON
ejpam-3328	550	4	lim re(k)→∞	PERSON
ejpam-3328	550	5	lim re(k)→∞ jε(k	PERSON
ejpam-3328	551	1	0	CARDINAL
ejpam-3328	551	2	24	CARDINAL
ejpam-3328	552	1	j. pure	PERSON
ejpam-3328	552	2	11	CARDINAL
ejpam-3328	552	3	4	CARDINAL
ejpam-3328	552	4	2018	DATE
ejpam-3328	552	5	1143-1176 1167	DATE
ejpam-3328	553	1	∈	ORG
ejpam-3328	553	2	1 2	CARDINAL
ejpam-3328	553	3	1 + |ω|2)1/2f̂(ω	DATE
ejpam-3328	553	4	∈	ORG
ejpam-3328	554	1	1 2πi	CARDINAL
ejpam-3328	554	2	∞∫	ORG
ejpam-3328	554	3	f(s	GPE
ejpam-3328	554	4	0	CARDINAL
ejpam-3328	554	5	1	CARDINAL
ejpam-3328	554	6	2πi	ORDINAL
ejpam-3328	554	7	∞∫	ORG
ejpam-3328	554	8	f(s	GPE
ejpam-3328	554	9	1 2	CARDINAL
ejpam-3328	555	1	33	CARDINAL
ejpam-3328	556	1	22	CARDINAL
ejpam-3328	558	1	1 4	DATE
ejpam-3328	558	2	1 2	CARDINAL
ejpam-3328	558	3	2	CARDINAL
ejpam-3328	560	1	riemann	PERSON
ejpam-3328	561	1	8	CARDINAL
ejpam-3328	562	1	3/4 + iα	MONEY
ejpam-3328	562	2	2	CARDINAL
ejpam-3328	562	3	25	CARDINAL
ejpam-3328	563	1	1	CARDINAL
ejpam-3328	563	2	2πi	ORDINAL
ejpam-3328	566	1	26	CARDINAL
ejpam-3328	567	1	1	CARDINAL
ejpam-3328	567	2	2πi	ORDINAL
ejpam-3328	569	1	27	CARDINAL
ejpam-3328	570	1	r(k	ORG
ejpam-3328	572	1	28	CARDINAL
ejpam-3328	572	2	2πi	ORG
ejpam-3328	574	1	k − ia −	PERSON
ejpam-3328	575	1	k − ia	PERSON
ejpam-3328	575	2	2πi	ORDINAL
ejpam-3328	576	1	t− k	ORG
ejpam-3328	580	1	7	CARDINAL
ejpam-3328	580	2	16	CARDINAL
ejpam-3328	581	1	qε(1−	DATE
ejpam-3328	582	1	29	CARDINAL
ejpam-3328	583	1	e−ikjε(k	PERSON
ejpam-3328	584	1	30	CARDINAL
ejpam-3328	584	2	a. durmagambetov / eur	PERSON
ejpam-3328	585	1	j. pure	PERSON
ejpam-3328	585	2	11	CARDINAL
ejpam-3328	585	3	4	CARDINAL
ejpam-3328	585	4	2018	DATE
ejpam-3328	585	5	1143-1176 1168	DATE
ejpam-3328	585	6	1	CARDINAL
ejpam-3328	585	7	k − ia = e−ikjε(k	PERSON
ejpam-3328	586	1	k − ia	PERSON
ejpam-3328	588	1	31	CARDINAL
ejpam-3328	588	2	k − ia	PERSON
ejpam-3328	590	1	k − ia = r(k)jε(k	PERSON
ejpam-3328	591	1	32	CARDINAL
ejpam-3328	591	2	k − ia −	PERSON
ejpam-3328	591	3	k − ia	PERSON
ejpam-3328	591	4	33	CARDINAL
ejpam-3328	591	5	34	CARDINAL
ejpam-3328	592	1	35	CARDINAL
ejpam-3328	592	2	21	CARDINAL
ejpam-3328	592	3	riemann	PERSON
ejpam-3328	593	1	36	CARDINAL
ejpam-3328	593	2	0	CARDINAL
ejpam-3328	593	3	lim im(k)→−∞ ψ−(k	PERSON
ejpam-3328	594	1	0	CARDINAL
ejpam-3328	595	1	37	CARDINAL
ejpam-3328	595	2	hilbert	PERSON
ejpam-3328	595	3	20	CARDINAL
ejpam-3328	595	4	riemann	PERSON
ejpam-3328	595	5	2πi	ORG
ejpam-3328	596	1	t− k	ORG
ejpam-3328	597	1	38	CARDINAL
ejpam-3328	598	1	2πi	ORDINAL
ejpam-3328	599	1	t− k	ORG
ejpam-3328	601	1	39	CARDINAL
ejpam-3328	602	1	α)− jε(k	PERSON
ejpam-3328	602	2	α)r(k	CARDINAL
ejpam-3328	602	3	40	CARDINAL
ejpam-3328	602	4	x−(k)(k − ia	PERSON
ejpam-3328	603	1	41	CARDINAL
ejpam-3328	603	2	42	CARDINAL
ejpam-3328	604	1	j. pure	PERSON
ejpam-3328	604	2	11	CARDINAL
ejpam-3328	604	3	4	CARDINAL
ejpam-3328	604	4	2018	DATE
ejpam-3328	604	5	1143-1176 1169	CARDINAL
ejpam-3328	604	6	lim	ORG
ejpam-3328	604	7	0	CARDINAL
ejpam-3328	604	8	lim	PERSON
ejpam-3328	604	9	0	CARDINAL
ejpam-3328	605	1	43	CARDINAL
ejpam-3328	605	2	0,φ+(k	DATE
ejpam-3328	605	3	0	CARDINAL
ejpam-3328	605	4	44	DATE
ejpam-3328	606	1	9	CARDINAL
ejpam-3328	606	2	riemann	PERSON
ejpam-3328	607	1	riemann	PERSON
ejpam-3328	607	2	21	CARDINAL
ejpam-3328	609	1	9	CARDINAL
ejpam-3328	610	1	3/4 + iα	MONEY
ejpam-3328	610	2	2	CARDINAL
ejpam-3328	612	1	lemmas 18,	ORG
ejpam-3328	612	2	19	DATE
ejpam-3328	612	3	22	DATE
ejpam-3328	612	4	1 2πi	CARDINAL
ejpam-3328	615	1	1	CARDINAL
ejpam-3328	615	2	1	CARDINAL
ejpam-3328	615	3	9	CARDINAL
ejpam-3328	617	1	k − ia −	PERSON
ejpam-3328	617	2	k − ia	PERSON
ejpam-3328	617	3	2 dk +	PERCENT
ejpam-3328	619	1	a. durmagambetov / eur	PERSON
ejpam-3328	620	1	j. pure	PERSON
ejpam-3328	620	2	11	CARDINAL
ejpam-3328	620	3	4	CARDINAL
ejpam-3328	620	4	2018	DATE
ejpam-3328	620	5	1143-1176	CARDINAL
ejpam-3328	620	6	23	CARDINAL
ejpam-3328	621	1	2πn+	CARDINAL
ejpam-3328	621	2	φ)2	ORG
ejpam-3328	621	3	φ =	PERSON
ejpam-3328	622	1	2πn+	CARDINAL
ejpam-3328	623	1	2πn+	CARDINAL
ejpam-3328	623	2	π + iβn + φn	ORG
ejpam-3328	623	3	r(k	ORG
ejpam-3328	625	1	n ≥ 1	DATE
ejpam-3328	627	1	e−i2πn+β−iφ	PERSON
ejpam-3328	628	1	2πn+	CARDINAL
ejpam-3328	628	2	φ)2	ORG
ejpam-3328	628	3	+ 1	DATE
ejpam-3328	628	4	2πn+	CARDINAL
ejpam-3328	628	5	+ 1	DATE
ejpam-3328	628	6	0	CARDINAL
ejpam-3328	631	1	1 +	CARDINAL
ejpam-3328	631	2	2πn+	CARDINAL
ejpam-3328	631	3	φ)2	ORG
ejpam-3328	632	1	φ	ORG
ejpam-3328	632	2	2πn+	CARDINAL
ejpam-3328	634	1	10	CARDINAL
ejpam-3328	635	1	2	CARDINAL
ejpam-3328	635	2	1/2 + 3ε	CARDINAL
ejpam-3328	635	3	1− 3ε	CARDINAL
ejpam-3328	637	1	9	CARDINAL
ejpam-3328	637	2	k − ia −	PERSON
ejpam-3328	638	1	k − ia	PERSON
ejpam-3328	638	2	2πi	ORDINAL
ejpam-3328	639	1	t− k	ORG
ejpam-3328	641	1	a. durmagambetov / eur	PERSON
ejpam-3328	642	1	j. pure	PERSON
ejpam-3328	642	2	11	CARDINAL
ejpam-3328	642	3	4	CARDINAL
ejpam-3328	642	4	2018	DATE
ejpam-3328	642	5	1143-1176 1171	CARDINAL
ejpam-3328	643	1	x−(t)(t−	ORG
ejpam-3328	644	1	k − ia)i1	PERSON
ejpam-3328	645	1	22	CARDINAL
ejpam-3328	645	2	jordan	GPE
ejpam-3328	646	1	x−(t)(t−	ORG
ejpam-3328	648	1	− k + i0	PERSON
ejpam-3328	649	1	ia	GPE
ejpam-3328	649	2	− k + i0	PERSON
ejpam-3328	650	1	k ∈	ORG
ejpam-3328	650	2	d2 dk2	ORG
ejpam-3328	652	1	d2 dk2	PERSON
ejpam-3328	654	1	d2 dk2	ORG
ejpam-3328	655	1	dk	PERSON
ejpam-3328	656	1	d2 dk2	ORG
ejpam-3328	658	1	d2 dk2	ORG
ejpam-3328	661	1	− k + i0	PERSON
ejpam-3328	662	1	w1 = ∫	ORG
ejpam-3328	667	1	− k	PERSON
ejpam-3328	675	1	w 0 2	FAC
ejpam-3328	676	1	− k	PERSON
ejpam-3328	679	1	w 0 2	FAC
ejpam-3328	680	1	w 0 2	FAC
ejpam-3328	680	2	0	CARDINAL
ejpam-3328	680	3	∫	ORG
ejpam-3328	680	4	a. durmagambetov / eur	PERSON
ejpam-3328	681	1	j. pure	PERSON
ejpam-3328	681	2	11	CARDINAL
ejpam-3328	681	3	4	CARDINAL
ejpam-3328	681	4	2018	DATE
ejpam-3328	681	5	1143-1176 1172	DATE
ejpam-3328	683	1	0	CARDINAL
ejpam-3328	684	1	−in	GPE
ejpam-3328	686	1	0	CARDINAL
ejpam-3328	687	1	−in	GPE
ejpam-3328	690	1	−in	GPE
ejpam-3328	696	1	−in	GPE
ejpam-3328	701	1	d2 dk2	PERSON
ejpam-3328	701	2	α)dk =	ORG
ejpam-3328	702	1	d2 dk2	ORG
ejpam-3328	704	1	dk	PERSON
ejpam-3328	705	1	1	CARDINAL
ejpam-3328	706	1	1	CARDINAL
ejpam-3328	708	1	d2 dk2 iεdk− ∫	ORG
ejpam-3328	709	1	d2 dk2	ORG
ejpam-3328	709	2	1	CARDINAL
ejpam-3328	710	1	9	CARDINAL
ejpam-3328	710	2	1),dx−dk	CARDINAL
ejpam-3328	711	1	dk2 yield∣∣∣∣∫ +n	PERSON
ejpam-3328	711	2	d2 dk2 iεdk ∣∣∣∣	PRODUCT
ejpam-3328	711	3	cεcm	PERSON
ejpam-3328	712	1	lemma 17,	ORG
ejpam-3328	712	2	1− 3ε	CARDINAL
ejpam-3328	712	3	|q(s)|	CARDINAL
ejpam-3328	713	1	a. durmagambetov / eur	PERSON
ejpam-3328	714	1	j. pure	PERSON
ejpam-3328	714	2	11	CARDINAL
ejpam-3328	714	3	4	CARDINAL
ejpam-3328	714	4	2018	DATE
ejpam-3328	714	5	1143-1176 1173	CARDINAL
ejpam-3328	714	6	11	CARDINAL
ejpam-3328	715	1	riemann	PERSON
ejpam-3328	715	2	zeros	CARDINAL
ejpam-3328	715	3	1/2	CARDINAL
ejpam-3328	717	1	sn	ORG
ejpam-3328	717	2	1/2	CARDINAL
ejpam-3328	718	1	0	CARDINAL
ejpam-3328	719	1	1/2 + δn−1 + iαn−1	QUANTITY
ejpam-3328	719	2	δn−1	ORG
ejpam-3328	720	1	sn	ORG
ejpam-3328	720	2	d(n	PERSON
ejpam-3328	720	3	s|ε	PERSON
ejpam-3328	720	4	1−	CARDINAL
ejpam-3328	720	5	6=	CARDINAL
ejpam-3328	720	6	d(n	PERSON
ejpam-3328	720	7	s|ε	PERSON
ejpam-3328	720	8	1−	CARDINAL
ejpam-3328	720	9	6=	CARDINAL
ejpam-3328	721	1	ζ(sn	PERSON
ejpam-3328	721	2	0	CARDINAL
ejpam-3328	721	3	ζ(1− sn	PERSON
ejpam-3328	721	4	0	CARDINAL
ejpam-3328	721	5	ζ(1− sn+1	PERSON
ejpam-3328	721	6	ζ(1− sn	PERSON
ejpam-3328	722	1	im(sn+1)− im(sn))/2	PERSON
ejpam-3328	723	1	q. theorem 11	PERSON
ejpam-3328	723	2	2cncε	CARDINAL
ejpam-3328	724	1	lim	PERSON
ejpam-3328	724	2	zeros	CARDINAL
ejpam-3328	724	3	half	CARDINAL
ejpam-3328	724	4	1/2	CARDINAL
ejpam-3328	725	1	3	CARDINAL
ejpam-3328	725	2	half	CARDINAL
ejpam-3328	726	1	1/2	CARDINAL
ejpam-3328	727	1	riemann	PERSON
ejpam-3328	728	1	10	CARDINAL
ejpam-3328	728	2	riemann	PERSON
ejpam-3328	728	3	hilbert	PERSON
ejpam-3328	730	1	three	CARDINAL
ejpam-3328	733	1	poincaré–riemann	ORG
ejpam-3328	733	2	zeros	CARDINAL
ejpam-3328	735	1	1174	CARDINAL
ejpam-3328	735	2	b. zhumagulov	PERSON
ejpam-3328	736	1	kazakhstan	GPE
ejpam-3328	736	2	moscow	GPE
ejpam-3328	736	3	b. kanguzhin	PERSON
ejpam-3328	736	4	m. otelbaev	PERSON
ejpam-3328	737	1	steven miller	PERSON
ejpam-3328	738	1	the ministry of education	ORG
ejpam-3328	738	2	kazakhstan	GPE
ejpam-3328	738	3	1	CARDINAL
ejpam-3328	738	4	terence tao	PERSON
ejpam-3328	738	5	three	CARDINAL
ejpam-3328	739	1	2	CARDINAL
ejpam-3328	740	1	itogi nauki	PERSON
ejpam-3328	743	1	sovrem	PERSON
ejpam-3328	744	1	probl	ORG
ejpam-3328	745	1	3	CARDINAL
ejpam-3328	745	2	moscow	GPE
ejpam-3328	745	3	1974	DATE
ejpam-3328	745	4	93180	DATE
ejpam-3328	746	1	3	CARDINAL
ejpam-3328	746	2	charles l. fefferman	PERSON
ejpam-3328	747	1	millennium	DATE
ejpam-3328	747	2	5767	DATE
ejpam-3328	748	1	inst	PERSON
ejpam-3328	748	2	cambridge	GPE
ejpam-3328	748	3	ma	GPE
ejpam-3328	748	4	2006	DATE
ejpam-3328	749	1	4	CARDINAL
ejpam-3328	749	2	the british association	ORG
ejpam-3328	749	3	september 1844	DATE
ejpam-3328	749	4	311390	DATE
ejpam-3328	750	1	5	CARDINAL
ejpam-3328	750	2	1838	DATE
ejpam-3328	750	3	7th	ORDINAL
ejpam-3328	750	4	british association	ORG
ejpam-3328	750	5	science	ORG
ejpam-3328	750	6	john murray	PERSON
ejpam-3328	750	7	london	GPE
ejpam-3328	750	8	pp.417-496	PERSON
ejpam-3328	751	1	6	CARDINAL
ejpam-3328	751	2	mark j. ablowitz	PERSON
ejpam-3328	751	3	harvey segur	PERSON
ejpam-3328	751	4	1981p	DATE
ejpam-3328	752	1	435	CARDINAL
ejpam-3328	753	1	7	CARDINAL
ejpam-3328	753	2	1965	DATE
ejpam-3328	753	3	15	CARDINAL
ejpam-3328	754	1	240243	DATE
ejpam-3328	755	1	8	CARDINAL
ejpam-3328	755	2	newton	GPE
ejpam-3328	755	3	three	CARDINAL
ejpam-3328	756	1	lett	PERSON
ejpam-3328	757	1	8,pp.541-542,1979	CARDINAL
ejpam-3328	758	1	9	CARDINAL
ejpam-3328	758	2	newton	GPE
ejpam-3328	758	3	three	CARDINAL
ejpam-3328	760	1	21	CARDINAL
ejpam-3328	760	2	10	CARDINAL
ejpam-3328	760	3	e. et al	PERSON
ejpam-3328	760	4	schrodinger	PERSON
ejpam-3328	760	5	three	CARDINAL
ejpam-3328	761	1	1988	DATE
ejpam-3328	762	1	11	CARDINAL
ejpam-3328	763	1	v.i mcgraw-hill	PERSON
ejpam-3328	763	2	1175	CARDINAL
ejpam-3328	764	1	12	CARDINAL
ejpam-3328	764	2	de mecanique celeste	ORG
ejpam-3328	764	3	3	CARDINAL
ejpam-3328	764	4	1910	DATE
ejpam-3328	765	1	13	CARDINAL
ejpam-3328	765	2	j. (1934	ORG
ejpam-3328	765	3	sur le mouvement d’un liquide visqueux emplissant	ORG
ejpam-3328	766	1	acta mathematica	PERSON
ejpam-3328	766	2	63	CARDINAL
ejpam-3328	766	3	193248	DATE
ejpam-3328	768	1	14	CARDINAL
ejpam-3328	768	2	ladyzhenskaya	PERSON
ejpam-3328	769	1	1970	DATE
ejpam-3328	770	1	288	CARDINAL
ejpam-3328	771	1	15	CARDINAL
ejpam-3328	771	2	solonnikov v.a.	PERSON
ejpam-3328	772	1	academy of sciences ussr	ORG
ejpam-3328	772	2	70, 1964	DATE
ejpam-3328	773	1	213	CARDINAL
ejpam-3328	773	2	317	CARDINAL
ejpam-3328	774	1	16	CARDINAL
ejpam-3328	774	2	l-3	ORG
ejpam-3328	774	3	sverak	PERSON
ejpam-3328	774	4	154	CARDINAL
ejpam-3328	774	5	269-296	CARDINAL
ejpam-3328	774	6	17	CARDINAL
ejpam-3328	774	7	t. shilkin	ORG
ejpam-3328	774	8	410	CARDINAL
ejpam-3328	774	9	2013	DATE
ejpam-3328	774	10	524	CARDINAL
ejpam-3328	774	11	18	CARDINAL
ejpam-3328	774	12	f. mebarek-oudina r. bessah	PERSON
ejpam-3328	775	1	4	CARDINAL
ejpam-3328	775	2	1522, 2007	DATE
ejpam-3328	776	1	19	CARDINAL
ejpam-3328	776	2	f. mebarek-oudina	PERSON
ejpam-3328	776	3	r. bessah	PERSON
ejpam-3328	776	4	i. review of physics	ORG
ejpam-3328	776	5	4(1	CARDINAL
ejpam-3328	776	6	45	CARDINAL
ejpam-3328	777	1	20	CARDINAL
ejpam-3328	777	2	f. mebarek-oudina	PERSON
ejpam-3328	777	3	20	CARDINAL
ejpam-3328	777	4	1324-1333	CARDINAL
ejpam-3328	777	5	21	CARDINAL
ejpam-3328	777	6	leonhard euler	PERSON
ejpam-3328	777	7	john blanton	PERSON
ejpam-3328	777	8	0	CARDINAL
ejpam-3328	777	9	1988	DATE
ejpam-3328	778	1	22	CARDINAL
ejpam-3328	778	2	.-l	GPE
ejpam-3328	778	3	1946	DATE
ejpam-3328	778	4	23	CARDINAL
ejpam-3328	778	5	g. f. b.	PERSON
ejpam-3328	778	6	new york	GPE
ejpam-3328	778	7	chelsea	ORG
ejpam-3328	778	8	1972	DATE
ejpam-3328	779	1	24	CARDINAL
ejpam-3328	779	2	e. c. titchmarsh	PERSON
ejpam-3328	779	3	1986	DATE
ejpam-3328	780	1	second	ORDINAL
ejpam-3328	781	1	oxford university	ORG
ejpam-3328	782	1	25	CARDINAL
ejpam-3328	782	2	ray d.	PERSON
ejpam-3328	782	3	i. m. r-torsion	PERSON
ejpam-3328	782	4	riemannian manifolds	ORG
ejpam-3328	783	1	adv	PERSON
ejpam-3328	784	1	1971	DATE
ejpam-3328	784	2	7	CARDINAL
ejpam-3328	784	3	145210	CARDINAL
ejpam-3328	785	1	26	CARDINAL
ejpam-3328	785	2	bost j.-b	PERSON
ejpam-3328	786	1	sur les espaces de modules des courbes complexes	ORG
ejpam-3328	786	2	39	CARDINAL
ejpam-3328	786	3	annee1986-1987	ORG
ejpam-3328	787	1	27	CARDINAL
ejpam-3328	787	2	kawagoe k.	PERSON
ejpam-3328	787	3	wakayama m.,yamasaki y.	PERSON
ejpam-3328	787	4	dirichlet l	PERSON
ejpam-3328	788	1	2008	DATE
ejpam-3328	788	2	1	CARDINAL
ejpam-3328	788	3	126	CARDINAL
ejpam-3328	789	1	1176	CARDINAL
ejpam-3328	789	2	28	CARDINAL
ejpam-3328	789	3	j. une application	ORG
ejpam-3328	789	4	d’une	CARDINAL
ejpam-3328	789	5	aux series de dirichlet	ORG
ejpam-3328	791	1	de france	ORG
ejpam-3328	791	2	56	CARDINAL
ejpam-3328	791	3	4344	CARDINAL
ejpam-3328	792	1	29	CARDINAL
ejpam-3328	792	2	paul r. chernoff	PERSON
ejpam-3328	792	3	2000 97	DATE
ejpam-3328	792	4	14	CARDINAL
ejpam-3328	792	5	7697-7699	DATE
ejpam-3328	793	1	30	CARDINAL
ejpam-3328	793	2	landau e.	PERSON
ejpam-3328	793	3	walfisz a. ober	PERSON
ejpam-3328	793	4	nichtfortsetzbarkeit einiger durch dirichletsrhe reihen definierter funktionen	PERSON
ejpam-3328	793	5	di palermo	PERSON
ejpam-3328	793	6	44	CARDINAL
ejpam-3328	793	7	8286	DATE
ejpam-3328	794	1	congress cambridge 1912	ORG
ejpam-3328	794	2	1	CARDINAL
ejpam-3328	794	3	31	CARDINAL
ejpam-3328	795	1	dirichlet series	PERSON
ejpam-3328	796	1	lond	PERSON
ejpam-3328	799	1	2	CARDINAL
ejpam-3328	799	2	27 1928, 435448	DATE
ejpam-3328	800	1	32	CARDINAL
ejpam-3328	801	1	lond	PERSON
ejpam-3328	803	1	27 1928	DATE
ejpam-3328	803	2	471482	DATE
ejpam-3328	804	1	33	CARDINAL
ejpam-3328	804	2	de mecanique celeste	ORG
ejpam-3328	804	3	3	CARDINAL
ejpam-3328	804	4	1910	DATE
ejpam-3328	805	1	34	CARDINAL
ejpam-3328	805	2	backlund r.	PERSON
ejpam-3328	805	3	sur les zeros de la function ζ(s) de riemann	ORG
ejpam-3328	805	4	c.r. acad.sci	PERSON
ejpam-3328	805	5	1979-1981	DATE