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Korolev Maxim Aleksandrovich

Total publications: 72 (66)
in MathSciNet: 49 (47)
in zbMATH: 37 (35)
in Web of Science: 50 (48)
in Scopus: 49 (47)
Cited articles: 44
Citations in Math-Net.Ru: 187
Citations in MathSciNet (by Sep 2017): 125
Citations in Web of Science: 176
Citations in Scopus: 95
Presentations: 27

Number of views:
This page:6601
Abstract pages:12658
Full texts:2895
References:953
Korolev Maxim Aleksandrovich
Doctor of physico-mathematical sciences (2013)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 19.03.1978
Phone: +7 (495) 984 81 41 * 37 32
E-mail: ,
Keywords: Kloostermann sums, argument of the Riemann zeta-function, Gram's rule.
UDC: 511, 517, 511.33, 511.21, 511.331
MSC: 11L03, 11N37, 11M06, 11M26, 11L05, 11N37, 11M06

Subject:

Estimation of short Kloosterman sums, Riemann's 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. Korolev M. A., “O raspredelenii obratnykh velichin po zadannomu modulyu”, Sovremennye issledovaniya v matematike i mekhanike, Trudy XXIII Konferentsii molodykh uchenykh mekhaniko-matematicheskogo fakulteta MGU, T. II (9–14 aprelya 2001 g.), Izd-vo Tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, M., 2001, 184–186

http://www.mathnet.ru/eng/person8879
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:korolev.maxim-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/643508
http://elibrary.ru/author_items.asp?authorid=351892
http://www.researcherid.com/rid/Q-4405-2016
http://www.scopus.com/authid/detail.url?authorId=7005718404
https://www.researchgate.net/profile/M_Korolev

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


1. 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: 29)  elib (cited: 31)  elib (cited: 31)  scopus (cited: 21)
2. 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: 18)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 10)
3. M. A. Korolev, “Incomplete Kloosterman sums and their applications”, Izv. Math., 64:6 (2000), 1129–1152  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 5)
4. 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: 12)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 6)
5. 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)
6. 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)
7. 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: 2)
8. 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
9. M. A. Korolev, “Short Kloosterman Sums with Weights”, Math. Notes, 88:3 (2010), 374–385  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 3)  scopus (cited: 3)
10. 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: 6)  elib  elib  scopus
11. 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: 6)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 4)
12. 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: 5)  elib  elib  scopus (cited: 1)
13. 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 (cited: 5)  zmath  adsnasa  isi (cited: 5)  elib (cited: 5)  scopus (cited: 4)
14. 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: 5)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
15. 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: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
16. 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)
17. 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
18. M. A. Korolev, “On Short Kloosterman Sums Modulo a Prime”, Math. Notes, 100:6 (2016), 820–827  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  scopus
19. 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)
20. 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)
21. M. A. Korolev, “On a Diophantine inequality with reciprocals”, Proc. Steklov Inst. Math., 299 (2017), 132–142  mathnet  crossref  crossref  isi (cited: 3)  elib  elib  scopus
22. M. A. Korolev, “On Incomplete Gaussian Sums”, Proc. Steklov Inst. Math., 290 (2015), 52–62  mathnet  crossref  crossref  isi (cited: 3)  elib  elib  scopus
23. 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
24. 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)
25. A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161  mathnet (cited: 1)  mathscinet (cited: 3)  elib (cited: 3)
26. 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: 2)  elib  scopus
27. M. A. Korolev, “Generalized Kloosterman sum with primes”, Proc. Steklov Inst. Math., 296 (2017), 154–171  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  scopus
28. M. A. Korolev, “Short Kloosterman Sums to Powerful Modulus”, Doklady Mathematics, 94:2 (2016), 561–562  mathnet  crossref  crossref  zmath  isi (cited: 2)  elib  elib  scopus
29. 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)
30. 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 (cited: 2)  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
31. 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)
32. 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)
33. M. A. Korolev, “On non-linear Kloosterman sum”, Chebyshevskii Sb., 17:1 (2016), 140–147  mathnet  mathscinet  mathscinet  elib
34. M. A. Korolev, “Methods of estimating of incomplete Kloosterman sums”, Chebyshevskii Sb., 17:4 (2016), 79–109  mathnet  crossref  mathscinet  elib
35. 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)
36. 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  isi (cited: 1)  elib  elib  scopus
37. 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: 1)  elib  elib  scopus
38. 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
39. 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  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
40. 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: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
41. 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: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
42. 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
43. 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
44. 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  adsnasa  isi  elib
45. M. A. Korolev, “On Kloosterman sums with multiplicative coefficients”, Izv. RAN. Ser. Mat.  mathnet  crossref  elib
46. M. A. Korolev, “Elementary Proof of an Estimate for Kloosterman Sums with Primes”, Math. Notes, 103:5 (2018), 761–768  mathnet  crossref  crossref  isi  elib  scopus
47. 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  isi  elib  elib  scopus
48. 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  scopus (cited: 1)
49. 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
50. 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
51. 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  isi  elib  scopus
52. M. A. Korolev, On Kloosterman sums with multiplicative coefficients, 2016 , 13 pp., arXiv: 1610.09171
53. 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  elib  elib  scopus
54. 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  zmath  isi  scopus
55. 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  scopus
56. 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
57. 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
58. 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  elib  elib  scopus
59. 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
60. 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
61. 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)
62. 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
63. 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
64. 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
65. 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
66. 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
67. 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
68. 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  zmath  isi  elib  scopus
69. M. A. Korolev, “Letter to the editors”, Izv. Math., 75:4 (2011), 869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
70. M. A. Korolëv, “Sodokladchiki”, My – matematiki s Leninskikh gor, Vypusk № 5 «V. I. Arnold», Moskva, 2011, 312
71. M. A. Korolev, “Esche raz o posledovatelnostyakh Rachinskogo”, Nauka i zhizn, 2007, no. 10, 89–91 (http://www.nkj.ru/archive/articles/11844/)
72. Analiticheskaya teoriya chisel, Sbornik statei. K 80-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Tr. MIAN, 299, ed. M. A. Korolëv, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2017 , 303 pp.  mathnet

Presentations in Math-Net.Ru
1. 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
2. Дроби Фарея и рациональные точки на окружности
M. A. Korolev
Contemporary Problems in Number Theory
December 7, 2017 12:45
3. 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   
4. Суммы Клоостермана: метод Бургейна. Лекци 9
M. A. Korolev

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

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

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

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

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

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

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

September 29, 2016 18:00   
12. 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   
13. Суммы Клоостермана: метод Бургейна. Лекция 1
M. A. Korolev

September 22, 2016 18:00   
14. Аналитическая теория чисел в работах П. Л. Чебышева
M. A. Korolev
Internet video conference "Day of Mathematics and Mechanics"
September 12, 2016 11:55   
15. 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   
16. 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
17. О больших значениях дзета-функции Римана на коротких промежутках критической прямой
M. A. Korolev
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
June 3, 2014 15:00
18. Моменты тригонометрических полиномов
M. A. Korolev
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 30, 2013 15:00
19. О моментах специальных тригонометрических полиномов
M. A. Korolev
Contemporary Problems in Number Theory
March 28, 2013 12:45
20. 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   
21. Некоторые задачи дискретной теории дзета-функции Римана
M. A. Korolev
Contemporary Problems in Number Theory
April 19, 2012 12:45
22. О законе Грама в теории дзета-функции Римана
M. A. Korolev
Seminar of the Department of Algebra
March 13, 2012 15:00
23. On the work of I. M. Vinogradov
M. A. Korolev
Internet video conference "Day of Mathematics and Mechanics"
September 19, 2011 12:05   
24. 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   
25. Закон Грама и аргумент дзета-функции Римана
M. A. Korolev
Moscow Seminar on the Number Theory
April 8, 2011 18:30
26. О законе Грама в теории дзета-функции Римана
M. A. Korolev
Seminar on Arithmetic Algebraic Geometry
September 22, 2010 11:00
27. 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 number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Tr. Mat. Inst. Steklova, 299, ed. M. A. Korolev, A. G. Sergeev, 2017, 303 с.
    http://mi.mathnet.ru/book1664
  2. 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
  3. 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

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