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Korolev Maxim Aleksandrovich
(recent publications)
| by years | scientific publications | by types |



   2022
1. M. A. Korolev, D. A. Popov, “On Jutila's integral in the circle problem”, Izv. Math., 86:3 (2022), 413–455  mathnet  crossref  crossref
2. M. A. Korolev, “Vinogradov's sieve and an estimate for an incomplete Kloosterman sum”, Sb. Math., 213:2 (2022), 216–234  mathnet  crossref  crossref  adsnasa  adsnasa  isi  scopus
3. S. V. Konyagin, M. A. Korolev, “On the Titchmarsh's phenomenon in the theory of the Riemann zeta-function”, Approximation Theory, Functional Analysis, and Applications, Collected papers. On the occasion of the 70th birthday of Academician Boris Sergeevich Kashin, Trudy Mat. Inst. Steklova, 318, Steklov Math. Inst., Moscow, 2022 (to appear)  mathnet

   2021
4. M. A. Korolev, “Kloosterman Sums with Primes and Solvability of a Congruence with Inverse Residues”, Proc. Steklov Inst. Math., 314 (2021), 96–126  mathnet  crossref  crossref  isi  elib  scopus
5. Analiticheskaya i kombinatornaya teoriya chisel, Sbornik statei. K 130-letiyu so dnya rozhdeniya akademika Ivana Matveevicha Vinogradova, Trudy MIAN, 314, ed. D. V. Treschev, S. V. Konyagin, V. N. Chubarikov, M. A. Korolev, M. R. Gabdullin, MIAN, M., 2021 , 346 pp.  mathnet
6. A. T. Daniyarkhodzhaev, M. A. Korolev, “On a Ramanujan Identity and Its Generalizations”, Math. Notes, 110:4 (2021), 511–521  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
7. M. Korolev, Kvant, 2021, no. 8, 2–9  mathnet  crossref
8. T. G. Bobkina, M. A. Korolev, “K 130-letiyu I.M. Vinogradova”, Kvant, 2021, no. 9, 13–15  mathnet
9. M. A. Korolev, I. S. Rezvyakova, “Incomplete Kloosterman sums to prime power modules”, Bull., Cl. Sci. Math. Nat., Sci. Math., 46 (2021), 73–92  mathnet  zmath;
10. Maxim Korolev, Antanas Laurinčikas, “Gram points in the theory of zeta-functions of certain cusp forms”, J. Math. Anal. Appl., 504:1 (2021), 125396 , 18 pp.  mathnet  crossref  zmath  isi  scopus;

   2020
11. M. A. Korolev, A. V. Shubin, “The second moment of the first derivative of Hardys $Z$-function”, Trigonometric Sums and Their Applications, eds. A. Raigorodskii, M. T. Rassias, Springer Nature Switzerland AG, 2020, 169–182  crossref  scopus
12. M. A. Korolev, M. E. Changa, “New Estimate for Kloosterman Sums with Primes”, Math. Notes, 108:1 (2020), 87–93  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)
13. Maxim A. Korolev, “Kloosterman sums over primes of composite moduli”, Res. Number Theory, 6 (2020), 24 , 20 pp.  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1);
14. M. A. Korolev, “Obmanchivaya prostota prostykh chisel”, Kvant, 2020, no. 3, 10–17  mathnet  crossref
15. Maxim Korolev, Igor Shparlinski, “Sums of algebraic trace functions twisted by arithmetic functions”, Pacific J. Math., 304:2 (2020), 505–522 , arXiv: 1804.01337  mathnet  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 3)  scopus (cited: 4);
16. M. A. Korolev, “Kloosterman sums with primes and the solvability of one congruence with inverse residues — II”, Chebyshevskii sb., 21:1 (73) (2020), 200–211  mathnet (cited: 1)  crossref  crossref  mathscinet;
17. Maxim Korolev, Antanas Laurinčikas, “A new application of the Gram points. II”, Aequationes Math., 94 (2020), 1171–1187  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3);
18. V. M. Buchstaber, M. A. Korolev, “On the scientific works of Dmitry Alexandrovich Popov”, Chebyshevskii Sb., 21:4 (2020), 396–421  mathnet  crossref  crossref  mathscinet  scopus

   2019
19. M. A. Korolev, A. V. Ustinov, “Distribution of rational points on the circle of unit radius”, Izv. Math., 83:5 (2019), 1008–1049  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  elib  scopus
20. M. A. Korolev, “Short Kloosterman Sums with Primes”, Math. Notes, 106:1 (2019), 89–97  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 4)
21. M. A. Korolev, Kloosterman sums with primes to composite moduli, 2019 , 23 pp., arXiv: 1911.09981  adsnasa
22. M. E. Changa, M. A. Korolev, Kloosterman sums with primes and the solvability of one congruence with inverse residues. I, 2019 , 38 pp., arXiv: 1911.12589  adsnasa
23. M. A. Korolev, “O razreshimosti v prostykh chislakh nekotorykh sravnenii s obratnymi velichinami”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii: Materialy XVI Mezhdunarodnoi konferentsii, posvyaschennoi 80-letiyu so dnya rozhdeniya professora Mishelya Deza (Tula, 13-18 maya 2019 g.), Biblioteka Chebyshevskogo sbornika, eds. V. N. Chubarikov, N. M. Dobrovolskii, I. Yu. Rebrova,N. N. Dobrovolskii, Tul. gos. ped. un-t im. L.N. Tolstogo, 2019, 37–39
24. M. A. Korolev, “Ob odnom obschem svoistve ryadov Fareya”, Algebra, teoriya chisel i matematicheskoe modelirovanie dinamicheskikh sistem: Tezisy Mezhdunarodnoi konferentsii Algebra, teoriya chisel i matematicheskoe modelirovanie dinamicheskikh sistem, posvyaschennoi 70-letiyu A.Kh. Zhurtova (Nalchik, 29 iyunya - 3 iyulya 2019 g.), Nalchik: Izd-vo KBGU, 2019, 2019, 58–59 http://algebra.imm.uran.ru/conf-algebra/algebra/trudy2019.pdf
25. Alexandar P. Ivi'c, Maxim A. Korolev, “On the distribution of values of the argument of the Riemann zeta-function”, J. Number Theory, 200 (2019), 96–131 , arXiv: 1808.10768  mathnet  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  scopus
26. Maxim Korolev, Antanas Laurinčikas, “A new application of the Gram points”, Aequationes Math., 93:5 (2019), 859–873  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6);

   2018
27. M. A. Korolev, “New estimate for a Kloosterman sum with primes for a composite modulus”, Sb. Math., 209:5 (2018), 652–659  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 8)  elib  scopus (cited: 10)
28. M. A. Korolev, “Kloosterman sums with multiplicative coefficients”, Izv. Math., 82:4 (2018), 647–661  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
29. M. A. Korolev, “Elementary Proof of an Estimate for Kloosterman Sums with Primes”, Math. Notes, 103:5 (2018), 761–768  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 4)
30. M. A. Korolev, “Divisors of a quadratic form with primes”, Proc. Steklov Inst. Math., 303 (2018), 154–170  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 3)
31. M. A. Korolev, A. V. Ustinov, “The Distribution of the Rational Points on the Unit Circle”, Dokl. Math., 98:1 (2018), 321–324  mathnet  crossref  crossref  zmath  isi  elib  elib  scopus
32. M. A. Korolev, I. E. Shparlinski, Sums of algebraic trace functions twisted by arithmetic functions, 2018 , 19 pp., arXiv: 1804.01337  adsnasa
33. M. A. Korolev, “Raspredelenie ratsionalnykh tochek na edinichnoi okruzhnosti (po sovmestnoi rabote s A. V. Ustinovym)”, Materialy IV Mezhdunarodnoi nauchnoi konferentsii "Aktualnye problemy prikladnoi matematiki (Kabardino-Balkarskaya respublika, pos.Terskol, 22–26 maya 2018 g.), IPMA KBNTs RAN, Nalchik, 2018, 130
34. M. A. Korolev, “Ob odnom raspredelenii, svyazannom s drobyami Fareya”, "Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy i prilozheniya. Materialy XV Mezhdunarodnoi konferentsii, posvyaschennoi stoletiyu so dnya rozhdeniya professora Nikolaya Mikhailovicha Korobova (Tula, 28–31 maya 2018 g.), Seriya “Biblioteka Chebyshevskogo sbornika”, TPGU im. L.N. Tolstogo, Tula, 2018, 34-36
35. M. A. Korolev, “The estimate of weighted Kloosterman sums by additive shift”, Chebyshevskii Sb., 19:3 (2018), 183–201  mathnet  crossref  elib  scopus

   2017
36. S. V. Konyagin, M. A. Korolev, “Irreducible solutions of an equation involving reciprocals”, Sb. Math., 208:12 (2017), 1818–1834  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 5)  elib  scopus (cited: 1)
37. Analiticheskaya teoriya chisel, Sbornik statei. K 80-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Trudy MIAN, 299, ed. M. A. Korolev, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2017 , 303 pp.  mathnet
38. M. A. Korolev, “On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s”, Proc. Steklov Inst. Math., 299 (2017), 1–43  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
39. M. A. Korolev, “Generalized Kloosterman sum with primes”, Proc. Steklov Inst. Math., 296 (2017), 154–171  mathnet  crossref  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 7)  scopus (cited: 7)
40. K. Gong, C. Jia, M.A. Korolev, “Shifted character sums with multiplicative coefficients, II”, J. Number Theory, 178 (2017), 31–39 , arXiv: 1611.06577v1  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)
41. M. A. Korolev, “On a Diophantine inequality with reciprocals”, Proc. Steklov Inst. Math., 299 (2017), 132–142  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib  elib  scopus (cited: 2)
42. M. A. Korolev, “On the estimates of Kloosterman sums”, Vilnius Conference in Combinatoris and Number Theory, Program and Abstract book (Vilnius, Lithuania, July 16 - July 22, 2017), Vilnius University, 2017, p. 14. http://mjcnt.phystech.edu/conference/vilnius/Vilnius2017.pdf
43. M. A. Korolëv, “Obratnye vychety v posledovatelnosti Pyatetskogo-Shapiro”, Konferentsiya po teorii chisel i prilozheniyam v chest 80-letiya A.A.Karatsuby, Sbornik annotatsii (Moskva, 22 - 27 maya 2017 g.), eds. M. A. Korolëv, OOO “Poligraff”, 2017, s. 34. http://www.mathnet.ru/ConfLogos/936/abstracts.pdf

   2018
44. M. A. Korolev, “On Rieman–Siegel formula for the derivatives of Hardy's function”, St. Petersburg Math. J., 29:4 (2018), 581–601  mathnet  crossref  mathscinet  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)

   2016
45. M. A. Korolev, “On non-linear Kloosterman sum”, Chebyshevskii Sb., 17:1 (2016), 140–147  mathnet  mathscinet  mathscinet  elib
46. S. V. Konyagin, M. A. Korolev, “On a symmetric diophantine equation with reciprocals”, Proc. Steklov Inst. Math., 294 (2016), 67–77  mathnet  crossref  crossref  mathscinet  isi (cited: 7)  elib  elib  scopus (cited: 4)
47. M. A. Korolev, “Karatsuba's method for estimating Kloosterman sums”, Sb. Math., 207:8 (2016), 1142–1158  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 11)  elib  elib  scopus (cited: 3)
48. M. A. Korolev, On Kloosterman sums with multiplicative coefficients, 2016 , 13 pp., arXiv: 1610.09171
49. M. A. Korolev, “Short Kloosterman Sums to Powerful Modulus”, Doklady Mathematics, 94:2 (2016), 561–562  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus (cited: 3)
50. M. A. Korolev, “Gram's Law in the Theory of Riemann Zeta-Function. Part 2”, Proc. Steklov Inst. Math., 294, suppl. 1 (2016), 1–78  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 2)
51. M. A. Korolev, “On Short Kloosterman Sums Modulo a Prime”, Math. Notes, 100:6 (2016), 820–827  mathnet  crossref  crossref  mathscinet  isi (cited: 9)  elib  elib  scopus (cited: 9)
52. M. A. Korolev, “Methods of estimating of incomplete Kloosterman sums”, Chebyshevskii Sb., 17:4 (2016), 79–109  mathnet  crossref  mathscinet  elib
53. Maxim Aleksandrovich Korolev, “An extreme values of the function S(T) in short intervals”, Indian J. Pure Appl. Math., 47:4 (2016), 603–615 , arXiv: 1302.0352  mathnet  crossref  mathscinet  zmath  isi  scopus

   2015
54. M. A. Korolev, “Large values of the Riemann zeta-function on short intervals of the critical line”, Dokl. Math., 91:1 (2015), 102–104  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
55. E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, V. N. Chubarikov, “On the conference to the memory of Anatoly Alexeevitch Karatsuba on number theory and applications”, Chebyshevskii Sb., 16:1 (2015), 89–152  mathnet  mathscinet  elib
56. M. A. Korolev, “On Incomplete Gaussian Sums”, Proc. Steklov Inst. Math., 290 (2015), 52–62  mathnet  crossref  crossref  isi (cited: 5)  elib  elib  scopus (cited: 2)
57. M. A. Korolev, “On the Horizontal Distribution of Zeros of the Functions $\operatorname{Re} \zeta(s)$ and $\operatorname{Im}\zeta(s)$”, Math. Notes, 98:6 (2015), 986–989  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2016
58. M. A. Korolev, “Gram's Law in the Theory of Riemann Zeta-Function. Part 1”, Proc. Steklov Inst. Math., 292, suppl. 2 (2016), S1–S146  mathnet  mathnet  crossref  crossref  crossref  mathscinet  isi (cited: 5)  elib  elib  scopus (cited: 5)

   2015
59. M. A. Korolev, “On the primitive of Hardy's function”, The 29th Journees Arithmetiques. Conference handbook (University of Debrecen, Hungary, July 6–10, 2015), University of Debrecen, 2015, 57–58 http://www.ja2015.math.unideb.hu/sites/default/files/Abstracts.pdf
60. M. A. Korolev, “On the large values of the Riemann zeta-function on the critical line II”, Moscow J. Combin. Number Theory, 5:3 (2015), 60–86 , arXiv: 1412.6340  mathnet  mathscinet  zmath  adsnasa  adsnasa

   2014
61. M. A. Korolev, “On small values of the Riemann zeta-function at Gram points”, Sb. Math., 205:1 (2014), 63–82  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 2)
62. M. A. Korolev, “Moments of trigonometric polynomials and their applications in the theory of the Riemann zeta-function”, Dokl. Math., 89:3 (2014), 305–307  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
63. M. A. Korolev, “On large values of the Riemann zeta-function on short segments of the critical line”, Acta Arith., 166:4 (2014), 349–390 , arXiv: 1404.6649  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  scopus (cited: 5)

   2013
64. M. A. Korolev, “On new results related to Gram's law”, Izv. Math., 77:5 (2013), 917–940  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 2)
65. F. Götze, D. Kaliada, M. Korolev, On the number of integral quadratic polynomials with bounded heights and discriminants, 2013 , 14 pp., arXiv: 1308.2091 (in Russian)  adsnasa
66. J. Kalpokas, M. A. Korolev, J. Steuding, “Negative values of the Riemann zeta function on the critical line”, Mathematika, 59:2 (2013), 443–462 , arXiv: 1109.2224v3  mathnet  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 9)  elib (cited: 5)  scopus (cited: 7)
67. M. A. Korolev, “On the moments of some trigonometric sums”, 28th Journees Arithmetiques, Programme and Abstract book (Grenoble, France, July 1–5, 2013), Institut Fourier - University Joseph Fourier, 2013, 58–59
68. M. A. Korolev, “On $L_p$-norms of certain trigonometric polynomials”, Palanga Conference in Combinatorics and Number Theory, Program and abstract book (Palanga, Lithuania, September 01–07, 2013), 2013, 24–26 http://mjcnt.phystech.edu/conference/palanga/abstract_book.pdf (Supported by Yandex, Vilnius University and Moscow Journal of Combinatorics and Number Theory)
69. M. A. Korolëv, Zakon Grama v teorii dzeta-funktsii Rimana, Avtoreferat diss. … dokt. fiz.-matem. nauk, MIAN, M., 2013 http://www.mi.ras.ru/dis/ref13/korolev_ref.pdf

   2012
70. M. A. Korolev, “On Gram's law in the theory of the Riemann zeta function”, Izv. Math., 76:2 (2012), 275–309  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 7)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 7)
71. M. A. Korolev, “On Karatsuba's problem related to Gram's law”, Proc. Steklov Inst. Math., 276 (2012), 156–166  mathnet  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2013
72. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)

   2012
73. M. A. Korolev, “On the small values of the Riemann zeta-function on the critical line”, Elementare und Analytische Zahlentheorie [Elementary and Analytic Number Theory] (Germany, Schloß Schney, August 13–18, 2012), eds. T. Christ, N. Oswald, R. Steuding, J. Steuding, Universität Würzburg, Würzburg, 2012, 21–22  mathscinet
74. M. A. Korolev, “On Karatsubas problem concerning the divisor function”, Monatsh. Math., 168:3-4 (2012), 403–441 , arXiv: 1011.1391  mathnet  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
75. M. A. Korolev, “Gram's law and the argument of the Riemann zeta function”, Publ. Inst. Math. (Beograd) (N.S.), 92(106) (2012), 53–78 , arXiv: 1106.0516v2  mathnet  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 4)  scopus (cited: 4)
76. M. A. Korolev, “On some new results related to Gram's law”, Dokl. Math., 86:2 (2012), 661–662  mathnet  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
77. M. A. Korolev, “On Selberg formulae related to Gram's law”, Sb. Math., 203:12 (2012), 1808–1816  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)

   2011
78. M. A. Korolev, “Letter to the editors”, Izv. Math., 75:4 (2011), 869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  elib  elib  scopus
79. M. Korolev, “On Gram's law in the theory of Riemann zeta function”, Mezhdunarodnaya konferentsiya «Diofantovy priblizheniya. Sovremennoe sostoyanie i prilozheniya» (3–8 iyulya 2011 g., Minsk, Belarus), Tezisy dokladov, Institut matematiki NAN Belarusi, Minsk, 2011, 37–38
80. M. A. Korolev, “Gram's law in the theory of Riemann's zeta function”, 27th Journees Arithmetiques (2011/06/27–07/01, Vilnius, Lithuania), Programme and Abstract book, Vilnius University, Vilnius, Lithuania, 2011, 34
81. M. A. Korolëv, “Sodokladchiki”, My – matematiki s Leninskikh gor, Vypusk № 5 «V. I. Arnold», Moskva, 2011, 312

   2010
82. M. A. Korolev, “Gram's law and Selberg's conjecture on the distribution of zeros of the Riemann zeta function”, Izv. Math., 74:4 (2010), 743–780  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  adsnasa  isi (cited: 14)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 11)
83. M. A. Korolev, “On the average number of power residues modulo a composite number”, Izv. Math., 74:6 (2010), 1225–1254  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
84. M. A. Korolev, “Short Kloosterman Sums with Weights”, Math. Notes, 88:3 (2010), 374–385  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 3)  scopus (cited: 7)


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