Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Korolev, Maxim Aleksandrovich

Total publications: 99 (91)
in MathSciNet: 70 (67)
in zbMATH: 47 (45)
in Web of Science: 61 (59)
in Scopus: 63 (61)
Cited articles: 57
Citations in Math-Net.Ru: 290
Citations in MathSciNet: 209
Citations in Web of Science: 254
Citations in Scopus: 185
Presentations: 73

Number of views:
This page:10989
Abstract pages:20951
Full texts:5708
References:1582
Korolev, Maxim Aleksandrovich
Professor of Russian Academy of Sciences
Doctor of physico-mathematical sciences (2013)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 19.03.1978
E-mail: ,
Keywords: Kloostermann sums, argument of the Riemann zeta-function, Grams rule.
UDC: 511, 517, 511.33, 511.21, 511.331
MSC: 11L03, 11N37, 11M06, 11M26, 11L05, 11N37, 11M06

Subject:

Estimation of short Kloosterman sums, Riemanns zeta-function theory.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 2000 (department of mathematical analysis).

   
Main publications:
  1. Korolev M. A., “Nepolnye summy Kloostermana i ikh prilozheniya”, Izv. RAN. Ser. matem., 64:6 (2000), 41–64  mathnet  mathscinet  zmath
  2. M.A. Korolev, “O pervoobraznoi funktsii Khardi $Z(t)$”, Izv. RAN. Ser. matem., 72:3 (2008), 19-68
  3. 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

http://www.mathnet.ru/eng/person8879
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:korolev.maxim-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/643508
https://elibrary.ru/author_items.asp?authorid=198334
http://www.researcherid.com/rid/Q-4405-2016
https://www.scopus.com/authid/detail.url?authorId=7005718404
https://www.researchgate.net/profile/M_Korolev

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |


1. M. A. Korolev, “I.M.Vinogradovs sieve and the estimate of an incomplete Kloosterman sum”, Mat. Sb. (to appear)  mathnet
2. M. A. Korolev, D. A. Popov, Izv. RAN. Ser. Mat. (to appear)  mathnet

   2021
3. 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
4. A. T. Daniyarkhodzhaev, M. A. Korolev, “On certain Ramanujan’s identity and its generalizations”, Mat. Zametki, 110:4 (2021), 524–536 (to appear)  mathnet
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

   2020
6. M. A. Korolev, A. V. Shubin, “The second moment of the first derivative of Hardy’s $Z$-function”, Trigonometric Sums and Their Applications, eds. A. Raigorodskii, M. T. Rassias, Springer Nature Switzerland AG, 2020, 169–182  crossref  scopus
7. 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  elib  scopus (cited: 1)
8. Maxim A. Korolev, “Kloosterman sums over primes of composite moduli”, Res. Number Theory, 6 (2020), 24 , 20 pp.  mathnet  crossref  mathscinet  isi  scopus;
9. 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  isi (cited: 3)  scopus (cited: 3);
10. 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  mathscinet;
11. Maxim Korolev, Antanas Laurinčikas, “A new application of the Gram points. II”, Aequationes Math., 94 (2020), 1171–1187  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2);
12. V. M. Buchstaber, M. A. Korolev, “On the scientific works of Dmitry Alexandrovich Popov”, Chebyshevskii Sb., 21:4 (2020), 396–421  mathnet  crossref
13. M. A. Korolev, “Obmanchivaya prostota prostykh chisel”, Kvant, 2020, no. 3, 10–17  mathnet  crossref

   2019
14. 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  isi  elib  scopus
15. M. A. Korolev, “Short Kloosterman Sums with Primes”, Math. Notes, 106:1 (2019), 89–97  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 3)
16. M. A. Korolev, Kloosterman sums with primes to composite moduli, 2019 , 23 pp., arXiv: 1911.09981  adsnasa
17. 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
18. 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
19. 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
20. Alexandar P. Ivić, 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  isi  scopus
21. Maxim Korolev, Antanas Laurinčikas, “A new application of the Gram points”, Aequationes Math., 93:5 (2019), 859–873  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3);

   2018
22. 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  isi (cited: 7)  elib  scopus (cited: 7)
23. M. A. Korolev, “Kloosterman sums with multiplicative coefficients”, Izv. Math., 82:4 (2018), 647–661  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
24. 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: 1)  elib  scopus (cited: 3)
25. 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: 2)  elib  scopus (cited: 2)
26. 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
27. M. A. Korolev, I. E. Shparlinski, Sums of algebraic trace functions twisted by arithmetic functions, 2018 , 19 pp., arXiv: 1804.01337  adsnasa
28. 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
29. 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
30. M. A. Korolev, “The estimate of weighted Kloosterman sums by additive shift”, Chebyshevskii Sb., 19:3 (2018), 183–201  mathnet  crossref  elib

   2017
31. 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  isi (cited: 5)  elib  scopus (cited: 1)
32. 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
33. M. A. Korolev, “Generalized Kloosterman sum with primes”, Proc. Steklov Inst. Math., 296 (2017), 154–171  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 6)  scopus (cited: 6)
34. 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)
35. 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)
36. 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
37. 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
38. 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)

   2017
39. 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

   2016
40. M. A. Korolev, “On non-linear Kloosterman sum”, Chebyshevskii Sb., 17:1 (2016), 140–147  mathnet  mathscinet  mathscinet  elib
41. 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: 3)
42. M. A. Korolev, “Karatsuba's method for estimating Kloosterman sums”, Sb. Math., 207:8 (2016), 1142–1158  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib  elib  scopus (cited: 2)
43. M. A. Korolev, On Kloosterman sums with multiplicative coefficients, 2016 , 13 pp., arXiv: 1610.09171
44. 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)
45. 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)
46. M. A. Korolev, “On Short Kloosterman Sums Modulo a Prime”, Math. Notes, 100:6 (2016), 820–827  mathnet  crossref  crossref  mathscinet  isi (cited: 8)  elib  elib  scopus (cited: 8)
47. M. A. Korolev, “Methods of estimating of incomplete Kloosterman sums”, Chebyshevskii Sb., 17:4 (2016), 79–109  mathnet  crossref  mathscinet  elib
48. 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
49. 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)
50. 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)
51. 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
52. 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: 4)

   2015
53. 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
54. 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
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

   2014
56. 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  isi (cited: 4)  elib  elib  scopus (cited: 2)
57. 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
58. 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: 4)

   2013
59. M. A. Korolev, “On new results related to Gram's law”, Izv. Math., 77:5 (2013), 917–940  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 2)
60. 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
61. 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  isi (cited: 8)  elib (cited: 5)  scopus (cited: 6)
62. 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
63. 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)
64. 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
65. 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  isi (cited: 7)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 6)
66. 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)
67. 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
68. M. A. Korolev, “On Karatsuba’s problem concerning the divisor function”, Monatsh. Math., 168:3-4 (2012), 403–441 , arXiv: 1011.1391  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
69. 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  isi (cited: 4)  scopus (cited: 4)
70. 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
71. M. A. Korolev, “On Selberg formulae related to Gram's law”, Sb. Math., 203:12 (2012), 1808–1816  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)

   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)

   2011
73. 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
74. 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
75. M. A. Korolev, “Letter to the editors”, Izv. Math., 75:4 (2011), 869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
76. M. A. Korolëv, “Sodokladchiki”, My – matematiki s Leninskikh gor, Vypusk № 5 «V. I. Arnold», Moskva, 2011, 312

   2010
77. 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  isi (cited: 14)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 10)
78. 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  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
79. 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: 6)

   2008
80. M. A. Korolev, “Selberg's conjecture concerning the distribution of imaginary parts of zeros of the Riemann zeta function”, Dokl. Math., 78:1 (2008), 531–534  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
81. M. A. Korolev, “On the integral of Hardy's function $Z(t)$”, Izv. Math., 72:3 (2008), 429–478  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
82. M. A. Korolev, “On large distances between consecutive zeros of the Riemann zeta-function”, Izv. Math., 72:2 (2008), 291–304  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   2007
83. M. A. Korolev, “On large distances between neighboring zeros of the Riemann zeta function”, Dokl. Math., 76:3 (2007), 940–943  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
84. M. A. Korolev, “On the primitive of the Hardy function $Z(t)$”, Dokl. Math., 75:2 (2007), 295–298  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
85. A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161  mathnet (cited: 1)  mathscinet  zmath  elib (cited: 3)
86. A. A. Karatsuba, M. A. Korolev, “A theorem on the approximation of a trigonometric sum by a shorter one”, Izv. Math., 71:2 (2007), 341–370  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
87. M. A. Korolev, “Esche raz o posledovatelnostyakh Rachinskogo”, Nauka i zhizn, 2007, no. 10, 89–91 (http://www.nkj.ru/archive/articles/11844/)

   2006
88. M. A. Korolev, “On multiple zeros of the Riemann zeta function”, Izv. Math., 70:3 (2006), 427–446  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
89. A. A. Karatsuba, M. A. Korolev, “Behaviour of the argument of the Riemann zeta function on the critical line”, Russian Math. Surveys, 61:3 (2006), 389–482  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 20)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 13)

   2005
90. M. A. Korolev, “Sign changes of the function $S(t)$ on short intervals”, Izv. Math., 69:4 (2005), 719–731  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
91. M. A. Korolev, “On large values of the function $S(t)$ on short intervals”, Izv. Math., 69:1 (2005), 113–122  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 6)
92. A. A. Karatsuba, M. A. Korolev, “The argument of the Riemann zeta function”, Russian Math. Surveys, 60:3 (2005), 433–488  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 32)  elib (cited: 31)  elib (cited: 31)  scopus (cited: 23)

   2003
93. M. A. Korolev, “On the behavior of the function $S(t)$ at short intervals”, Dokl. Math., 67:3 (2003), 396–397  mathnet  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
94. M. A. Korolev, “The argument of the Riemann zeta-function on the critical line”, Izv. Math., 67:2 (2003), 225–264  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 7)  scopus (cited: 6)

   2002
95. M. A. Korolev, “On the number of sign changes of the function $S(t)$ on a short interval”, Dokl. Math., 65:1 (2002), 58–59  mathnet  mathscinet  zmath  isi (cited: 5)  scopus
96. M. A. Korolev, “The Argument of the Riemann Zeta Function on the Critical Line”, Proc. Steklov Inst. Math., 239 (2002), 202–224  mathnet  mathscinet  zmath

   2001
97. M. A. Korolëv, “O raspredelenii obratnykh velichin po zadannomu modulyu”, Sovremennye issledovaniya v matematike i mekhanike, Trudy XXIII Konferentsii molodykh uchenykh mekhaniko-matematicheskogo fakulteta MGU (Moskva, MGU, 9–14 aprelya 2001 g.), v. II, Izd-vo Tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2001, 184–186

   2000
98. M. A. Korolev, “Incomplete Kloosterman sums and their applications”, Izv. Math., 64:6 (2000), 1129–1152  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 7)

   1998
99. M. A. Korolev, “On a new multiplicative function”, Russian Math. Surveys, 53:4 (1998), 868–869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus

Presentations in Math-Net.Ru
1. Lecture 2. Number Theory
M. A. Korolev
Number Theory
September 22, 2021 14:45
2. Titchmarsh phenomenon in the theory of Riemann zeta-function (joint work with S.V. Konyagin)
M. A. Korolev
Memorial Conference on Analytic Number Theory and Applications Dedicated to the 130th Anniversary of I. M. Vinogradov
September 14, 2021 11:15   
3. Lecture 1. Number Theory
M. A. Korolev
Number Theory
September 8, 2021 14:45   
4. Основы кругового метода в теории чисел. Семинар 3
М. А. Королёв
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 28, 2021 15:30   
5. Основы кругового метода в теории чисел. Семинар 2
М. А. Королёв
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 27, 2021 11:15   
6. Основы кругового метода в теории чисел. Семинар 1
М. А. Королёв
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 25, 2021 15:30   
7. Основы кругового метода в теории чисел. Лекция
М. А. Королёв
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 23, 2021 11:15   
8. Об интеграле Ютилы в проблеме круга (по совместной работе с Д.А.Поповым)
M. A. Korolev
Contemporary Problems in Number Theory
December 10, 2020 12:45   
9. Lecture 13. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
December 3, 2020 18:00   
10. Lecture 12. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
November 26, 2020 18:00   
11. Lecture 11. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
November 19, 2020 18:00   
12. Lecture 10. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
November 12, 2020 18:00   
13. Lecture 9. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
November 5, 2020 18:00   
14. Lecture 8. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
October 29, 2020 18:00   
15. Lecture 7. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
October 22, 2020 18:00   
16. Lecture 6. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
October 15, 2020 18:00   
17. Lecture 5. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
October 8, 2020 18:00   
18. Lecture 4. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
October 1, 2020 18:00   
19. Lecture 3. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
September 24, 2020 18:00   
20. Lecture 2. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
September 17, 2020 18:00   
21. Lecture 1. Sieve methods: selected topics
M. A. Korolev
Course by M. A. Korolev "Sieve methods: selected topics"
September 10, 2020 18:00   
22. Лекция 15. Применение линейного решета
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
May 28, 2020
23. Лекция 14. Линейное решето (окончание)
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
May 21, 2020
24. Лекция 13. Линейное решето (продолжение)
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
May 14, 2020
25. Лекция 12. Линейное решето (начало)
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
May 7, 2020
26. Лекция 11. Приложение решета Сельберга к некоторым задачам с простыми числами
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
April 30, 2020
27. Лекция 10. Решето Сельберга. Функция $G(z)$ (окончание)
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
April 23, 2020
28. Лекция 9. Решето Сельберга. Функция $G(z)$
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
April 16, 2020
29. Лекция 8. Применение методов решета к задаче о больших делителях “сдвинутых” простых чисел
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
April 9, 2020
30. Лекция 7. Решето Сельберга
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
April 2, 2020
31. Лекция 6. Применение методов решета к задаче о больших расстояниях между соседними простыми числами. Теорема Эрдеша-Ранкина
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
March 26, 2020
32. Лекция 5. Решето Бруна. Нижняя оценка
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
March 19, 2020 18:00
33. Лекция 4. Решето Бруна. Приложения
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
March 12, 2020 18:00   
34. Лекция 3. Решето Бруна - Хооли. Верхняя оценка
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
March 5, 2020 18:00   
35. Лекция 2. Простейшее решето Бруна
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
February 20, 2020 18:00   
36. Лекция 1.Основные свойства простых чисел. Решето Эратосфена
M. A. Korolev
Course by M. A. Korolev "Sieve methods"
February 13, 2020 18:00   
37. Короткие промежутки между простыми числами специального вида (по работе А.В.Шубина)
M. A. Korolev
Contemporary Problems in Number Theory
December 26, 2019 12:45
38. Суммы Клоостермана с простыми числами и их применение
M. A. Korolev
Traditional winter session MIAN–POMI devoted to the topic "Analysis"
December 20, 2019 10:00
39. What is known and what is unknown about zeros of Riemann zeta-function
M. A. Korolev
Automorphic forms and their applications
November 26, 2019 18:00
40. Distribution of rational points on the circle of unit radius
M. A. Korolev
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019
November 20, 2019 12:15   
41. О разрешимости в простых числах некоторых сравнений с обратными величинами
M. A. Korolev
Contemporary Problems in Number Theory
May 16, 2019 12:45
42. On a solvability of some congruences with reciprocals in prime numbers
M. A. Korolev
XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 14, 2019 10:40
43. Incomplete Kloosterman sums and solvability of some congruences with prime variables
M. A. Korolev
Мemorial conference dedicated to the memory of Ivan Matveevich Vinogradov
March 28, 2019 15:30   
44. An analogue of “Gibbs phenomenon” in the theory of Riemann zeta-function
M. A. Korolev
Steklov Mathematical Institute Seminar
December 20, 2018 16:00   
45. О новых эффектах, связанных с дзета-функцией Римана
M. A. Korolev
Knots and Representation Theory
November 27, 2018 18:30
46. On the zeros of Epstein zeta-function, Kloosterman sums and some other problems of number theory
M. A. Korolev
Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
November 19, 2018 14:00   
47. A distribution connected with Farey fractions
M. A. Korolev
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 30, 2018 09:00
48. Дроби Фарея и рациональные точки на окружности
M. A. Korolev
Contemporary Problems in Number Theory
December 7, 2017 12:45
49. Inverse residues and Pyatetski-Shapiro sequences
M. A. Korolev
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 24, 2017 11:30   
50. Суммы Клоостермана: метод Бургейна. Лекци 9
M. A. Korolev

November 24, 2016   
51. Суммы Клоостермана: метод Бургейна. Лекция 8
M. A. Korolev

November 17, 2016 18:00   
52. Суммы Клоостермана: метод Бургейна. Лекция 7
M. A. Korolev

November 10, 2016 18:00   
53. Суммы Клоостермана: метод Бургейна. Лекция 6
M. A. Korolev

November 3, 2016 18:00   
54. Суммы Клоостермана: метод Бургейна. Лекция 5
M. A. Korolev

October 27, 2016 18:00   
55. Суммы Клоостермана: метод Бургейна. Лекция 4
M. A. Korolev

October 20, 2016 18:00   
56. Суммы Клоостермана: метод Бургейна. Лекция 3
M. A. Korolev

October 6, 2016 18:00   
57. Суммы Клоостермана: метод Бургейна. Лекция 2
M. A. Korolev

September 29, 2016 18:00   
58. Об оценках обобщенных сумм Клоостермана
M. A. Korolev
International conference on number theory and analysis, dedicated to the 125th anniversary of I. M. Vinogradov
September 28, 2016 14:00   
59. Суммы Клоостермана: метод Бургейна. Лекция 1
M. A. Korolev

September 22, 2016 18:00   
60. Аналитическая теория чисел в работах П. Л. Чебышева
M. A. Korolev
Internet video conference "Day of Mathematics and Mechanics"
September 12, 2016 11:55   
61. Karatsuba's method of estimating of short Kloosterman sums
M. A. Korolev
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016 12:00   
62. О дробных моментах некоторых теоретико-числовых функций (Fractional moments of some number-theoretic functions)
M. A. Korolev
Contemporary Problems in Number Theory
July 31, 2014 12:45
63. О больших значениях дзета-функции Римана на коротких промежутках критической прямой
M. A. Korolev
Shafarevich Seminar
June 3, 2014 15:00
64. Моменты тригонометрических полиномов
M. A. Korolev
Shafarevich Seminar
April 30, 2013 15:00
65. О моментах специальных тригонометрических полиномов
M. A. Korolev
Contemporary Problems in Number Theory
March 28, 2013 12:45
66. On the small values of the Riemann zeta-function on the critical line
M. A. Korolev
International Chinese-Russian conference on Number Theory
October 8, 2012 16:00   
67. Некоторые задачи дискретной теории дзета-функции Римана
M. A. Korolev
Contemporary Problems in Number Theory
April 19, 2012 12:45
68. О законе Грама в теории дзета-функции Римана
M. A. Korolev
Seminar by Algebra Department
March 13, 2012 15:00
69. On the work of I. M. Vinogradov
M. A. Korolev
Internet video conference "Day of Mathematics and Mechanics"
September 19, 2011 12:05   
70. On Gram's law in the theory of the Riemann zeta function
M. Korolev
International symposium "Arithmetic days in Moscow"
June 13, 2011 16:30   
71. Закон Грама и аргумент дзета-функции Римана
M. A. Korolev
Moscow Seminar on the Number Theory
April 8, 2011 18:30
72. О законе Грама в теории дзета-функции Римана
M. A. Korolev
Seminar on Arithmetic Algebraic Geometry
September 22, 2010 11:00
73. Гипотеза Сельберга о нулях дзета-функции Римана и «закон Грама»
M. A. Korolev
Seminar on Arithmetic Algebraic Geometry
November 26, 2009 15:00

Books in Math-Net.Ru
  1. Analytic and Combinatorial Number Theory, Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 314, ed. D. V. Treschev, S. V. Konyagin, V. N. Chubarikov, M. A. Korolev, M. R. Gabdullin, 2021, 346 с.
    http://mi.mathnet.ru/book1847
  2. Analytic number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Trudy Mat. Inst. Steklova, 299, ed. M. A. Korolev, A. G. Sergeev, 2017, 303 с.
    http://mi.mathnet.ru/book1664
  3. M. A. Korolev, Gram's Law in the Theory of Riemann Zeta-Function. Part 2, Sovrem. Probl. Mat., 21, 2016, 94 с.
    http://mi.mathnet.ru/book1616
  4. M. A. Korolev, Gram's Law in the Theory of Riemann Zeta-Function. Part 1, Sovrem. Probl. Mat., 20, 2015, 162 с.
    http://mi.mathnet.ru/book1602

Organisations
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021