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Korolëv, Maksim Aleksandrovich

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Author ID: korolev.maxim-a Recent zbMATH articles by "Korolëv, Maksim Aleksandrovich"
Published as: Korolev, M. A.; Korolëv, M. A.; Korolev, Maxim A.; Korolev, Maxim; Korolëv, Maksim Aleksandrovich; Korolev, Maksim Aleksandrovich; Korolev, Maxim Aleksandrovich
Further Spellings: Королёв Максим Александрович
External Links: MGP · ResearchGate · Math-Net.Ru
Documents Indexed: 76 Publications since 1998
Co-Authors: 18 Co-Authors with 22 Joint Publications
969 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 236 times in 93 Documents Cited by Year
The argument of the Riemann zeta function. Zbl 1116.11070
Karatsuba, A. A.; Korolev, M. A.
18
2005
Behaviour of the argument of the Riemann zeta function on the critical line. Zbl 1215.11081
Karatsuba, A. A.; Korolev, M. A.
14
2006
Incomplete Kloosterman sums and their applications. Zbl 1030.11039
Korolev, M. A.
13
2000
Gram’s law and Selberg’s conjecture on the distribution of zeros of the Riemann zeta function. Zbl 1257.11080
Korolev, M. A.
8
2010
New estimate for a Kloosterman sum with primes for a composite modulus. Zbl 1440.11150
Korolev, M. A.
8
2018
Negative values of the Riemann zeta function on the critical line. Zbl 1292.11094
Kalpokas, Justas; Korolev, Maxim A.; Steuding, Jörn
8
2013
Karatsuba’s method for estimating Kloosterman sums. Zbl 1365.11096
Korolev, Maxim A.
8
2016
On short Kloosterman sums modulo a prime. Zbl 1402.11107
Korolev, M. A.
8
2016
Methods of estimating of incomplete Kloosterman sums. Zbl 1373.11059
Korolev, M. A.
7
2016
A theorem on the approximation of a trigonometric sum by a shorter one. Zbl 1168.11030
Karatsuba, A. A.; Korolev, M. A.
7
2007
Short Kloosterman sums with weights. Zbl 1252.11059
Korolëv, M. A.
7
2010
On a symmetric Diophantine equation with reciprocals. Zbl 1372.11051
Konyagin, S. V.; Korolev, M. A.
7
2016
Generalized Kloosterman sum with primes. Zbl 1376.11064
Korolev, M. A.
7
2017
A new application of the Gram points. Zbl 1470.11223
Korolev, Maxim; Laurinčikas, Antanas
6
2019
Short Kloosterman sums to powerful modulus. Zbl 1357.11069
Korolev, M. A.
6
2016
On a Diophantine inequality with reciprocals. Zbl 1446.11055
Korolev, M. A.
5
2017
On large values of the function \(S(t)\) on short intervals. Zbl 1167.11313
Korolev, M. A.
5
2005
On large values of the Riemann zeta-function on short segments of the critical line. Zbl 1377.11093
Korolev, Maxim A.
5
2014
On Gram’s law in the theory of the Riemann zeta function. Zbl 1250.11081
Korolev, M. A.
5
2012
Gram’s law and the argument of the Riemann zeta function. Zbl 1274.11132
Korolev, Maxim
5
2012
On the integral of Hardy’s function \(Z(t)\). Zbl 1239.11091
Korolëv, M. A.
5
2008
Short Kloosterman sums with primes. Zbl 1440.11153
Korolev, M. A.
4
2019
Divisors of a quadratic form with primes. Zbl 1450.11033
Korolev, M. A.
4
2018
Irreducible solutions of an equation involving reciprocals. Zbl 1434.11083
Konyagin, Sergei V.; Korolev, Maxim A.
4
2017
Gram’s law in the theory of the Riemann zeta-function. I. Zbl 1361.11051
Korolev, M. A.
4
2016
On incomplete Gaussian sums. Zbl 1329.11084
Korolev, M. A.
4
2015
Gram’s law in the theory of the Riemann zeta-function. II. Zbl 1403.11056
Korolev, M. A.
4
2016
Sums of algebraic trace functions twisted by arithmetic functions. Zbl 1469.11267
Korolev, Maxim; Shparlinski, Igor
3
2020
A new application of the Gram points. II. Zbl 1466.11058
Korolev, Maxim; Laurinčikas, Antanas
3
2020
On multiple zeros of the Riemann zeta-function. Zbl 1187.11027
Korolev, M. A.
3
2006
Elementary proof of an estimate for Kloosterman sums with primes. Zbl 1439.11195
Korolev, M. A.
3
2018
On Selberg formulae related to Gram’s law. Zbl 1321.11083
Korolëv, M. A.
3
2012
On large distances between consecutive zeros of the Riemann zeta-function. Zbl 1180.11030
Korolëv, M. A.
3
2008
On new results related to Gram’s law. Zbl 1303.11100
Korolëv, M. A.
3
2013
Approximation of an exponential sum by a shorter one. Zbl 1327.11055
Karatsuba, A. A.; Korolev, M. A.
3
2007
Shifted character sums with multiplicative coefficients. II. Zbl 1406.11076
Gong, K.; Jia, C.; Korolev, M. A.
3
2017
On the large values of the Riemann zeta-function on the critical line. II. Zbl 1418.11119
Korolev, Maxim A.
2
2015
On the average number of power residues modulo a composite number. Zbl 1222.11116
Korolev, M. A.
2
2010
Kloosterman sums with multiplicative coefficients. Zbl 1440.11151
Korolev, M. A.
2
2018
New estimate for Kloosterman sums with primes. Zbl 1473.11157
Korolev, M. A.; Changa, M. E.
2
2020
On the argument of the Riemann zeta function on the critical line. Zbl 1066.11038
Korolëv, M. A.
2
2003
On small values of the Riemann zeta-function at Gram points. Zbl 1318.11107
Korolev, M. A.
2
2014
Kloosterman sums with primes and the solvability of one congruence with inverse residues. II. Zbl 1455.11116
Korolev, Maksim Aleksandrovich
1
2020
Kloosterman sums over primes of composite moduli. Zbl 1469.11266
Korolev, Maxim A.
1
2020
On the Riemann-Siegel formula for the derivatives of the Hardy function. Zbl 1391.33004
Korolev, M. A.
1
2018
The argument of the Riemann zeta function on the critical line. Zbl 1126.11332
Korolev, M. A.
1
2002
Moments of trigonometric polynomials and their applications in the theory of the Riemann zeta-function. Zbl 1301.30003
Korolev, M. A.
1
2014
On Karatsuba’s problem concerning the divisor function. Zbl 1302.11076
Korolev, M. A.
1
2012
Scientific achievements of Anatolii Alekseevich Karatsuba. Zbl 1286.01026
Changa, M. E.; Gritsenko, S. A.; Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Tolev, D. I.
1
2013
Sign change of the function \(S(t)\) on short intervals. Zbl 1084.11051
Korolev, M. A.
1
2005
Large values of the Riemann zeta-function on short intervals of the critical line. Zbl 1391.11097
Korolev, M. A.
1
2015
On the primitive of the Hardy function \(Z(t)\). Zbl 1162.11045
Korolev, M. A.
1
2007
Selberg’s conjecture concerning the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1221.11182
Korolev, M. A.
1
2008
Sums of algebraic trace functions twisted by arithmetic functions. Zbl 1469.11267
Korolev, Maxim; Shparlinski, Igor
3
2020
A new application of the Gram points. II. Zbl 1466.11058
Korolev, Maxim; Laurinčikas, Antanas
3
2020
New estimate for Kloosterman sums with primes. Zbl 1473.11157
Korolev, M. A.; Changa, M. E.
2
2020
Kloosterman sums with primes and the solvability of one congruence with inverse residues. II. Zbl 1455.11116
Korolev, Maksim Aleksandrovich
1
2020
Kloosterman sums over primes of composite moduli. Zbl 1469.11266
Korolev, Maxim A.
1
2020
A new application of the Gram points. Zbl 1470.11223
Korolev, Maxim; Laurinčikas, Antanas
6
2019
Short Kloosterman sums with primes. Zbl 1440.11153
Korolev, M. A.
4
2019
New estimate for a Kloosterman sum with primes for a composite modulus. Zbl 1440.11150
Korolev, M. A.
8
2018
Divisors of a quadratic form with primes. Zbl 1450.11033
Korolev, M. A.
4
2018
Elementary proof of an estimate for Kloosterman sums with primes. Zbl 1439.11195
Korolev, M. A.
3
2018
Kloosterman sums with multiplicative coefficients. Zbl 1440.11151
Korolev, M. A.
2
2018
On the Riemann-Siegel formula for the derivatives of the Hardy function. Zbl 1391.33004
Korolev, M. A.
1
2018
Generalized Kloosterman sum with primes. Zbl 1376.11064
Korolev, M. A.
7
2017
On a Diophantine inequality with reciprocals. Zbl 1446.11055
Korolev, M. A.
5
2017
Irreducible solutions of an equation involving reciprocals. Zbl 1434.11083
Konyagin, Sergei V.; Korolev, Maxim A.
4
2017
Shifted character sums with multiplicative coefficients. II. Zbl 1406.11076
Gong, K.; Jia, C.; Korolev, M. A.
3
2017
Karatsuba’s method for estimating Kloosterman sums. Zbl 1365.11096
Korolev, Maxim A.
8
2016
On short Kloosterman sums modulo a prime. Zbl 1402.11107
Korolev, M. A.
8
2016
Methods of estimating of incomplete Kloosterman sums. Zbl 1373.11059
Korolev, M. A.
7
2016
On a symmetric Diophantine equation with reciprocals. Zbl 1372.11051
Konyagin, S. V.; Korolev, M. A.
7
2016
Short Kloosterman sums to powerful modulus. Zbl 1357.11069
Korolev, M. A.
6
2016
Gram’s law in the theory of the Riemann zeta-function. I. Zbl 1361.11051
Korolev, M. A.
4
2016
Gram’s law in the theory of the Riemann zeta-function. II. Zbl 1403.11056
Korolev, M. A.
4
2016
On incomplete Gaussian sums. Zbl 1329.11084
Korolev, M. A.
4
2015
On the large values of the Riemann zeta-function on the critical line. II. Zbl 1418.11119
Korolev, Maxim A.
2
2015
Large values of the Riemann zeta-function on short intervals of the critical line. Zbl 1391.11097
Korolev, M. A.
1
2015
On large values of the Riemann zeta-function on short segments of the critical line. Zbl 1377.11093
Korolev, Maxim A.
5
2014
On small values of the Riemann zeta-function at Gram points. Zbl 1318.11107
Korolev, M. A.
2
2014
Moments of trigonometric polynomials and their applications in the theory of the Riemann zeta-function. Zbl 1301.30003
Korolev, M. A.
1
2014
Negative values of the Riemann zeta function on the critical line. Zbl 1292.11094
Kalpokas, Justas; Korolev, Maxim A.; Steuding, Jörn
8
2013
On new results related to Gram’s law. Zbl 1303.11100
Korolëv, M. A.
3
2013
Scientific achievements of Anatolii Alekseevich Karatsuba. Zbl 1286.01026
Changa, M. E.; Gritsenko, S. A.; Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Tolev, D. I.
1
2013
On Gram’s law in the theory of the Riemann zeta function. Zbl 1250.11081
Korolev, M. A.
5
2012
Gram’s law and the argument of the Riemann zeta function. Zbl 1274.11132
Korolev, Maxim
5
2012
On Selberg formulae related to Gram’s law. Zbl 1321.11083
Korolëv, M. A.
3
2012
On Karatsuba’s problem concerning the divisor function. Zbl 1302.11076
Korolev, M. A.
1
2012
Gram’s law and Selberg’s conjecture on the distribution of zeros of the Riemann zeta function. Zbl 1257.11080
Korolev, M. A.
8
2010
Short Kloosterman sums with weights. Zbl 1252.11059
Korolëv, M. A.
7
2010
On the average number of power residues modulo a composite number. Zbl 1222.11116
Korolev, M. A.
2
2010
On the integral of Hardy’s function \(Z(t)\). Zbl 1239.11091
Korolëv, M. A.
5
2008
On large distances between consecutive zeros of the Riemann zeta-function. Zbl 1180.11030
Korolëv, M. A.
3
2008
Selberg’s conjecture concerning the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1221.11182
Korolev, M. A.
1
2008
A theorem on the approximation of a trigonometric sum by a shorter one. Zbl 1168.11030
Karatsuba, A. A.; Korolev, M. A.
7
2007
Approximation of an exponential sum by a shorter one. Zbl 1327.11055
Karatsuba, A. A.; Korolev, M. A.
3
2007
On the primitive of the Hardy function \(Z(t)\). Zbl 1162.11045
Korolev, M. A.
1
2007
Behaviour of the argument of the Riemann zeta function on the critical line. Zbl 1215.11081
Karatsuba, A. A.; Korolev, M. A.
14
2006
On multiple zeros of the Riemann zeta-function. Zbl 1187.11027
Korolev, M. A.
3
2006
The argument of the Riemann zeta function. Zbl 1116.11070
Karatsuba, A. A.; Korolev, M. A.
18
2005
On large values of the function \(S(t)\) on short intervals. Zbl 1167.11313
Korolev, M. A.
5
2005
Sign change of the function \(S(t)\) on short intervals. Zbl 1084.11051
Korolev, M. A.
1
2005
On the argument of the Riemann zeta function on the critical line. Zbl 1066.11038
Korolëv, M. A.
2
2003
The argument of the Riemann zeta function on the critical line. Zbl 1126.11332
Korolev, M. A.
1
2002
Incomplete Kloosterman sums and their applications. Zbl 1030.11039
Korolev, M. A.
13
2000
all top 5

Cited by 69 Authors

32 Korolëv, Maksim Aleksandrovich
7 Boyarinov, R. N.
5 Laurinčikas, Antanas
5 Shparlinski, Igor E.
4 Ivić, Aleksandar
3 Carneiro, Emanuel
3 Jutila, Matti Ilmari
3 Kalpokas, Justas
3 Karatsuba, Ekaterina Anatol’evna
3 Šiaučiūnas, Darius
3 Steuding, Jörn
3 Suriajaya, Ade Irma
3 Trudgian, Timothy S.
2 Changa, Maris Evgen’evich
2 Christ, Thomas
2 Jiang, Yujiao
2 Lu, Guangshi
2 Odžak, Almasa
2 Rezvyakova, Irina S.
2 Sourmelidis, Athanasios
2 Tanigawa, Yoshio
1 Adiceam, Faustin
1 Cao, Xiaodong
1 Chandee, Vorrapan
1 Chen, Changhao
1 Chirre, Andrés
1 Çiçek, Fatma
1 de la Bretèche, Régis
1 Ernvall-Hytönen, Anne-Maria
1 Finder, Renan
1 Gabdullin, Mikhail R.
1 Garaev, Moubariz Z.
1 Garbaliauskienė, Virginija
1 Garunkštis, Ramūnas
1 Gath, Yoav A.
1 Gong, Ke
1 Granville, Andrew James
1 Gritsenko, Sergeĭ Aleksandrovich
1 Hakobyan, Tigran L.
1 Hiary, Ghaith Ayesh
1 Hough, Bob
1 Huang, Jingjing
1 Kačinskaitė, Roma
1 Karatsuba, Anatoliĭ Alekseevich
1 Kargin, Vladislav
1 Konyagin, Sergeĭ Vladimirovich
1 Laaksonen, Niko
1 Li, Hongze
1 Li, Huixi
1 Macaitienė, Renata
1 Milinovich, Micah B.
1 Minamide, T. Makoto
1 Nazrubloev, N. N.
1 Petridis, Yiannis N.
1 Platt, David John
1 Rakhimov, A. O.
1 Rakhmonov, Zarullo Khusenovich
1 Šarka, Paulius
1 Sha, Min
1 Shteĭnikov, Yuriĭ Nikolaevich
1 Shubin, Andrei V.
1 Simonič, Aleksander
1 Smajlović, Lejla
1 Sušić, Medina
1 Tolev, Doychin I.
1 Turnage-Butterbaugh, Caroline L.
1 Vostokov, Sergeĭ Vladimirovich
1 Wang, Yunjie
1 Zhai, Wenguang
all top 5

Cited in 40 Serials

13 Proceedings of the Steklov Institute of Mathematics
11 Mathematical Notes
10 Journal of Number Theory
6 Journal of Mathematical Analysis and Applications
3 Lithuanian Mathematical Journal
3 Moscow University Mathematics Bulletin
3 Transactions of the American Mathematical Society
3 Doklady Mathematics
3 Chebyshevskiĭ Sbornik
2 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
2 Acta Arithmetica
2 Aequationes Mathematicae
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 Research in Number Theory
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematics of Computation
1 Canadian Mathematical Bulletin
1 Functiones et Approximatio. Commentarii Mathematici
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Siberian Mathematical Journal
1 Probability Theory and Related Fields
1 Forum Mathematicum
1 Discrete Mathematics and Applications
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Indagationes Mathematicae. New Series
1 Journal de Théorie des Nombres de Bordeaux
1 Turkish Journal of Mathematics
1 Lobachevskii Journal of Mathematics
1 Computational Methods and Function Theory
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 International Journal of Geometric Methods in Modern Physics
1 International Journal of Number Theory
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics

Citations by Year