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Korolev Maxim Aleksandrovich

Total publications: 63
Scientific articles: 58
in MathSciNet: 37
in zbMATH: 34
in Web of Science: 42
in Scopus: 42
Cited articles: 36
Citations in Math-Net.Ru: 150
Citations in MathSciNet: 123
Citations in Web of Science: 112
Citations in Scopus: 85
Presentations: 25

Number of views:
This page:4815
Abstract pages:8952
Full texts:2597
References:616
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
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=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 | scientific publications | common list |



   2017
1. S. V. Konyagin, M. A. Korolev, “On irreducible solutions of an equation with reciprocals”, Mat. Sb., 2017 (to appear)  mathnet
2. M. A. Korolev, Analytic and combinatorial number theory, Collected papers. In commemoration of the 125th anniversary of Academician Ivan Matveevich Vinogradov, Tr. Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017 (to appear)  mathnet

   2016
3. M. A. Korolev, “On non-linear Kloosterman sum”, Chebyshevskii Sb., 17:1 (2016), 140–147  mathnet  elib
4. S. V. Konyagin, M. A. Korolev, “On a symmetric diophantine equation with reciprocals”, Proc. Steklov Inst. Math., 294 (2016), 67–77  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus
5. M. A. Korolev, “Karatsuba's method for estimating Kloosterman sums”, Sb. Math., 207:8 (2016), 1142–1158  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
6. M. A. Korolev, On Kloosterman sums with multiplicative coefficients, 2016 , 13 pp., arXiv: 1610.09171
7. M. A. Korolev, “Short Kloosterman Sums to Powerful Modulus”, Doklady Mathematics, 94:2 (2016), 561–562  mathnet  crossref  crossref  zmath  isi  elib  elib  scopus
8. 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  isi  elib  elib  scopus
9. K. Gong, C. Jia, M. A. Korolev, Shifted Character Sums with Multiplicative Coefficients, II, 2016 , 9 pp., arXiv: 1611.06577v1
10. M. A. Korolev, “On Short Kloosterman Sums Modulo a Prime”, Math. Notes, 100:6 (2016), 820–827  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
11. M. A. Korolev, “An extreme values of the function S(T) in short intervals”, Indian Journal of Pure and Applied Mathematics, 47:4 (2016), 603–615 , arXiv: 1302.0352  crossref  isi  scopus
12. M. A. Korolev, “Methods of estimating of incomplete Kloosterman sums”, Chebyshevskii Sb., 17:4 (2016), 79–109  mathnet  crossref  elib

   2015
13. 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)
14. M. A. Korolev, “On Incomplete Gaussian Sums”, Proc. Steklov Inst. Math., 290 (2015), 52–62  mathnet  crossref  crossref  isi  elib  elib  scopus
15. 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
16. M. A. Korolëv, “Gram's Law in the Theory of Riemann Zeta-Function. Part 1”, Sovr. probl. matem., 20, MIAN, M., 2015 , 162 pp.  mathnet  mathnet  crossref  crossref  elib; 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  crossref  isi  elib  scopus
17. M. A. Korolev, “On the large values of the Riemann zeta-function on the critical line - II”, Mosc. J. Comb. Number Theory, 5:3 (2015), 60–86 http://mjcnt.phystech.edu/ru/article.php?id=99, arXiv: 1412.6340  adsnasa
18. 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
19. 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
20. 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
21. 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  crossref  crossref  mathscinet  isi  elib  elib  scopus
22. 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  crossref  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2013
23. 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
24. 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
25. 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  crossref  mathscinet (cited: 5)  zmath  adsnasa  isi (cited: 4)  elib (cited: 5)  scopus (cited: 4)
26. 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
27. 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)
28. 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
29. 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: 4)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 4)
30. 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: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
31. 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
32. M. A. Korolev, “On Karatsuba’s problem concerning the divisor function”, Monatsh. Math., 168:3-4 (2012), 403–441 , arXiv: 1011.1391  crossref  mathscinet  adsnasa  isi  elib  scopus
33. 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  crossref  mathscinet (cited: 2)  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
34. M. A. Korolev, “On some new results related to Gram's law”, Dokl. Math., 86:2 (2012), 661–662  crossref  mathscinet  zmath  isi  elib  elib  scopus
35. 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)
36. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolëv, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Matematika i informatika, 1, K 75-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 16, MIAN, M., 2012, 7–30  mathnet  crossref  zmath  elib; 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  crossref  zmath  isi  scopus

   2011
37. 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
38. 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
39. M. A. Korolev, “Letter to the editors”, Izv. Math., 75:4 (2011), 869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
40. M. A. Korolëv, “Sodokladchiki”, My – matematiki s Leninskikh gor, Vypusk № 5 «V. I. Arnold», Moskva, 2011, 312

   2010
41. 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: 9)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 6)
42. 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)
43. M. A. Korolev, “Short Kloosterman Sums with Weights”, Math. Notes, 88:3 (2010), 374–385  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)  scopus (cited: 3)

   2008
44. 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)
45. 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: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
46. 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: 2)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   2007
47. 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
48. 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)
49. A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161  mathnet  mathscinet (cited: 3)  elib (cited: 3)
50. 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: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)
51. M. A. Korolev, “Esche raz o posledovatelnostyakh Rachinskogo”, Nauka i zhizn, 2007, no. 10, 89–91 (http://www.nkj.ru/archive/articles/11844/)

   2006
52. 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: 1)
53. 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: 12)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 10)

   2005
54. 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: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
55. 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: 7)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 6)
56. 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: 22)  elib (cited: 31)  elib (cited: 31)  scopus (cited: 18)

   2003
57. 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)
58. 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: 8)  elib (cited: 7)  scopus (cited: 6)

   2002
59. 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
60. 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
61. 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
62. M. A. Korolev, “Incomplete Kloosterman sums and their applications”, Izv. Math., 64:6 (2000), 1129–1152  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 5)

   1998
63. 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. Inverse residues and Pyatetski-Shapiro
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 26, 2017 12:00
2. Суммы Клоостермана: метод Бургейна. Лекци 9

November 24, 2016   
3. Суммы Клоостермана: метод Бургейна. Лекция 8

November 17, 2016 18:00   
4. Суммы Клоостермана: метод Бургейна. Лекция 7

November 10, 2016 18:00   
5. Суммы Клоостермана: метод Бургейна. Лекция 6

November 3, 2016 18:00   
6. Суммы Клоостермана: метод Бургейна. Лекция 5

October 27, 2016 18:00   
7. Суммы Клоостермана: метод Бургейна. Лекция 4

October 20, 2016 18:00   
8. Суммы Клоостермана: метод Бургейна. Лекция 3

October 6, 2016 18:00   
9. Суммы Клоостермана: метод Бургейна. Лекция 2

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

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

Books in Math-Net.Ru
  1. 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
  2. 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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