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Korolev Maxim Aleksandrovich

Statistics Math-Net.Ru
Total publications: 57
Scientific articles: 52
Cited articles: 51
Citations in Math-Net.Ru: 137
Citations in Web of Science: 98
Citations in Scopus: 74
Citations in MathSciNet: 101
Presentations: 13

Number of views:
This page:4077
Abstract pages:8055
Full texts:2323
References:539
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
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https://www.researchgate.net/profile/M_Korolev

Full list of publications:
1. M. A. Korolev, “On Karatsuba's method of estimating Kloosterman sums”, Mat. Sb., 2016 (to appear)  mathnet
2. M. A. Korolev, “On non-linear Kloosterman sum”, Chebyshevskii Sb., 17:1 (2016), 140–147  mathnet  elib
3. M. A. Korolev, Gram's Law in the Theory of Riemann Zeta-Function. Part 2, Sovrem. Probl. Mat., 21, Steklov Math. Institute of RAS, Moscow, 2016 , 94 pp.  mathnet  mathnet  crossref  crossref
4. M. A. Korolev, Mat. Zametki, 2016 (to appear)  mathnet
5. S. V. Konyagin, M. A. Korolev, Modern problems of mathematics, mechanics, and mathematical physics. Part II, Tr. Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016 (to appear)  mathnet
6. 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  elib  elib  scopus
7. M. A. Korolev, “On Incomplete Gaussian Sums”, Proc. Steklov Inst. Math., 290 (2015), 52–62  mathnet  crossref  crossref  isi  elib  elib  scopus
8. 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  isi  elib  scopus
9. 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  scopus
10. 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
11. 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
12. 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
13. 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
14. 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: 1)  elib (cited: 1)  scopus (cited: 1)
15. 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
16. M. A. Korolev, Upper and lower bounds for the function $S(t)$ on the short intervals, 2013 , 11 pp., arXiv: 1302.0352  adsnasa
17. 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
18. 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: 3)  zmath  adsnasa  isi (cited: 4)  elib (cited: 3)  scopus (cited: 4)
19. 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
20. 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)
21. 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
22. 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)
23. 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)
24. 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
25. 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
26. 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  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
27. 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
28. 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)
29. 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
30. 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
31. 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: 8)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 5)
32. 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)
33. M. A. Korolev, “Short Kloosterman Sums with Weights”, Math. Notes, 88:3 (2010), 374–385  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
34. 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)
35. 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)
36. 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)
37. 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
38. 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)
39. A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161  mathnet  mathscinet (cited: 3)  elib (cited: 2)
40. 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)
41. 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)
42. 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: 10)  elib (cited: 9)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 8)
43. 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)
44. 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: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
45. 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: 19)  elib (cited: 28)  elib (cited: 28)  scopus (cited: 16)
46. 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)
47. 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)
48. 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
49. 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
50. 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
51. M. A. Korolev, “Incomplete Kloosterman sums and their applications”, Izv. Math., 64:6 (2000), 1129–1152  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 4)
52. 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
53. 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
54. 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
55. M. A. Korolev, “Letter to the editors”, Izv. Math., 75:4 (2011), 869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
56. M. A. Korolëv, “Sodokladchiki”, My – matematiki s Leninskikh gor, Vypusk № 5 «V. I. Arnold», Moskva, 2011, 312
57. M. A. Korolev, “Esche raz o posledovatelnostyakh Rachinskogo”, Nauka i zhizn, 2007, no. 10, 89–91 (http://www.nkj.ru/archive/articles/11844/)

Presentations in Math-Net.Ru
1. 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   
2. О дробных моментах некоторых теоретико-числовых функций (Fractional moments of some number-theoretic functions)
Contemporary Problems in Number Theory
July 31, 2014 12:45
3. О больших значениях дзета-функции Римана на коротких промежутках критической прямой
Seminar of the Department of Algebra and Number Theory and of the Department of Algebraic Geometry (Shafarevich Seminar)
June 3, 2014 15:00
4. Моменты тригонометрических полиномов
Seminar of the Department of Algebra and Number Theory and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 30, 2013 15:00
5. О моментах специальных тригонометрических полиномов
Contemporary Problems in Number Theory
March 28, 2013 12:45
6. 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   
7. Некоторые задачи дискретной теории дзета-функции Римана
Contemporary Problems in Number Theory
April 19, 2012 12:45
8. О законе Грама в теории дзета-функции Римана
Seminar of the Department of Algebra
March 13, 2012 15:00
9. On the work of I. M. Vinogradov
Internet video conference "Day of Mathematics and Mechanics"
September 19, 2011 12:05   
10. On Gram's law in the theory of the Riemann zeta function
International symposium "Arithmetic days in Moscow"
June 13, 2011 16:30   
11. Закон Грама и аргумент дзета-функции Римана
Moscow Seminar on the Number Theory
April 8, 2011 18:30
12. О законе Грама в теории дзета-функции Римана
Seminar on Arithmetic Algebraic Geometry
September 22, 2010 11:00
13. 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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