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Gritsenko, Sergey Alexandrovich

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 30
Presentations: 6

Number of views:
This page:2439
Abstract pages:7728
Full texts:2815
References:827
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 19.04.1957
E-mail:
Keywords: trigonometrical sums; Riemann's zeta-function; arithmetical Dirichlet' series.
   
Main publications:
  • Ob odnoi zadache I. M. Vinogradova // Matematicheskie zametki, 1986, t. 39, vyp. 5, s. 625–640.
  • O nulyakh lineinykh kombinatsii spetsialnogo vida funktsii, svyazannykh s ryadami Dirikhle iz klassa Selberga // Izv. RAN, ser. matem., 1996, t. 60, # 4, s. 3–42.
  • O nulyakh spetsialnogo vida funktsii, svyazannykh s ryadami Dirikhle iz klassa Selberga // Matem. zametki, 1996, t. 60, # 4, s. 601–605.
  • O nulyakh lineinykh kombinatsii spetsialnogo vida funktsii, svyazannykh s L-funktsiyami Gekke mnimykh kvadratichnykh polei // Izv. RAN, ser. matem., 1991, t. 61, # 1, s. 45–69.
  • O nulyakh lineinykh kombinatsii analogov funktsii Rimana // Trudy MIAN, 1997, t. 218, s. 134–151.

http://www.mathnet.ru/eng/person8819
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:gritsenko.sergey-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/234077

Publications in Math-Net.Ru
2019
1. S. A. Gritsenko, E. Deza, L. V. Varukhina, “On behavior of arithmetical functions, related to Chebyshev function”, Chebyshevskii Sb., 20:3 (2019),  154–164  mathnet
2017
2. S. A. Gritsenko, “On fractional moments of the mollified Dirichlet $L$-functions”, Chebyshevskii Sb., 18:4 (2017),  168–187  mathnet
3. S. A. Gritsenko, “On the zeros of the Davenport–Heilbronn function”, Tr. Mat. Inst. Steklova, 296 (2017),  72–94  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 296 (2017), 65–87  isi  scopus
2016
4. S. A. Gritsenko, N. N. Motkina, “On the solvability of Waring's equation involving natural numbers of a special type”, Chebyshevskii Sb., 17:1 (2016),  37–51  mathnet  elib
5. S. A. Gritsenko, “On the Zeros of the Davenport–Heilbronn Function Lying on the Critical Line”, Mat. Zametki, 100:5 (2016),  774–778  mathnet  mathscinet  elib; Math. Notes, 101:1 (2017), 166–170  isi  scopus
2014
6. S. A. Gritsenko, N. N. Motkina, “Waring’s problem involving natural numbers of a special type”, Chebyshevskii Sb., 15:3 (2014),  31–47  mathnet
2013
7. S. A. Gritsenko, L. N. Kurtova, “Asymptotical formula for fractional moments of some Dirichlet series”, Chebyshevskii Sb., 14:1 (2013),  18–33  mathnet
8. S. A. Gritsenko, D. B. Demidov, “On Zeros of Linear Combinations of Functions of Special Form Related to the Hecke $L$-Functions of Imaginary Quadratic Fields on Short Intervals”, Sovrem. Probl. Mat., 17 (2013),  164–178  mathnet  elib; Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S150–S164  isi  scopus
2012
9. S. A. Gritsenko, M. V. Shevtsova, “О распределении простых чисел в арифметической прогрессии с разностью, равной степени нечетного простого числа”, Chebyshevskii Sb., 13:2 (2012),  56–58  mathnet
10. S. A. Gritsenko, N. N. Mot'kina, “О теореме Чудакова в простых числах специального вида”, Chebyshevskii Sb., 13:2 (2012),  54–55  mathnet
11. S. A. Gritsenko, “On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke $L$-functions on the critical line”, Tr. Mat. Inst. Steklova, 276 (2012),  96–108  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 276 (2012), 90–102  isi  elib  scopus
2011
12. S. A. Gritsenko, N. N. Mot'kina, “On the computation of some singular series”, Chebyshevskii Sb., 12:4 (2011),  85–92  mathnet  mathscinet
13. S. A. Gritsenko, N. N. Mot'kina, “On Chudakov's theorem involving primes of a special type”, Chebyshevskii Sb., 12:4 (2011),  75–84  mathnet  mathscinet
14. S. A. Gritsenko, M. V. Shevtsova, “On the distribution of primes in an arithmetic progression whose difference is a power of a fixed prime”, Chebyshevskii Sb., 12:1 (2011),  60–78  mathnet  mathscinet
2010
15. S. A. Gritsenko, “On a Problem of Karatsuba”, Mat. Zametki, 88:4 (2010),  517–528  mathnet  mathscinet; Math. Notes, 88:4 (2010), 492–502  isi  scopus
2007
16. S. A. Gritsenko, “The Hua Loo-Keng problem on prime numbers representable by given quadratic forms”, Izv. RAN. Ser. Mat., 71:3 (2007),  45–60  mathnet  mathscinet  zmath  elib; Izv. Math., 71:3 (2007), 477–493  isi  elib  scopus
17. S. A. Gritsenko, “Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms”, Mat. Zametki, 81:2 (2007),  193–204  mathnet  mathscinet  zmath  elib; Math. Notes, 81:2 (2007), 172–182  isi  scopus
2005
18. S. A. Gritsenko, “On the distribution of norms of prime ideals of the given class in arithmetic progressions”, Zap. Nauchn. Sem. POMI, 322 (2005),  45–62  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:2 (2006), 4634–4644  scopus
1997
19. S. A. Gritsenko, “Zeros of a special type of function associated with Hecke $L$-functions of imaginary quadratic fields”, Izv. RAN. Ser. Mat., 61:1 (1997),  45–68  mathnet  mathscinet  zmath; Izv. Math., 61:1 (1997), 45–68  isi  scopus
20. S. A. Gritsenko, “On zeros of linear combinations of analogues of the Riemann function”, Tr. Mat. Inst. Steklova, 218 (1997),  134–150  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 218 (1997), 129–145
1996
21. S. A. Gritsenko, “Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series”, Izv. RAN. Ser. Mat., 60:4 (1996),  3–42  mathnet  mathscinet  zmath; Izv. Math., 60:4 (1996), 655–694  isi  scopus
22. S. A. Gritsenko, “Zeros of special form of functions related to Dirichlet series from the Selberg class”, Mat. Zametki, 60:4 (1996),  601–605  mathnet  mathscinet  zmath  elib; Math. Notes, 60:4 (1996), 449–453  isi
23. S. A. Gritsenko, “Estimates of trigonometric sums by the third derivative”, Mat. Zametki, 60:3 (1996),  383–389  mathnet  mathscinet  zmath; Math. Notes, 60:3 (1996), 283–287  isi
1994
24. S. A. Gritsenko, “Approximate functional equation for the product of two Dirichlet $L$-functions”, Izv. RAN. Ser. Mat., 58:5 (1994),  26–52  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 45:2 (1995), 255–280  isi
25. S. A. Gritsenko, “The refinement of a constant in the density theorem”, Mat. Zametki, 55:2 (1994),  59–61  mathnet  mathscinet  zmath  elib; Math. Notes, 55:2 (1994), 142–143  isi
26. S. A. Gritsenko, “On a density theorem”, Trudy Mat. Inst. Steklov., 207 (1994),  70–81  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 207 (1995), 67–76
1992
27. S. A. Gritsenko, “Three additive problems”, Izv. RAN. Ser. Mat., 56:6 (1992),  1198–1216  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 41:3 (1993), 447–464  isi
28. S. A. Gritsenko, “On a density theorem”, Mat. Zametki, 51:6 (1992),  32–40  mathnet  mathscinet  zmath; Math. Notes, 51:6 (1992), 553–558  isi
1988
29. S. A. Gritsenko, “Goldbach's ternary problem and the Goldbach–Waring problem with prime numbers lying in intervals of special form”, Uspekhi Mat. Nauk, 43:4(262) (1988),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:4 (1988), 209–210  isi
1986
30. S. A. Gritsenko, “A problem of I. M. Vinogradov”, Mat. Zametki, 39:5 (1986),  625–640  mathnet  mathscinet  zmath; Math. Notes, 39:5 (1986), 341–350  isi

2012
31. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Sovrem. Probl. Mat., 16 (2012),  7–30  mathnet  zmath  elib; Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22  isi  scopus

Presentations in Math-Net.Ru
1. О нулях некоторых арифметических рядов Дирихле
S. A. Gritsenko
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 29, 2018 09:50
2. On the fractional moments of some mollified arithmetical Dirichlet series
S. A. Gritsenko
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 23, 2017 16:20   
3. On the zeroes of the function of Davenport and Heilbronn lying on the critical line
S. A. Gritsenko
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016 10:35   
4. On the zeros of some class of Dirchlet series without Euler product
V. N. Chubarikov, S. A. Gritsenko
Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 30, 2015 10:05   
5. О нулях линейных комбинаций L-функций Гекке мнимого квадратичного поля
S. A. Gritsenko
Contemporary Problems in Number Theory
February 20, 2014 14:30
6. On some diophantine inequalities involving primes
S. A. Gritsenko
Conference in memory of A. A. Karatsuba on number theory and applications
January 31, 2014 12:00   

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