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Gritsenko Sergey Alexandrovich

Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 28
Presentations: 6

Number of views:
This page:1965
Abstract pages:5530
Full texts:1892
References:616
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
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=234077

Publications in Math-Net.Ru
1. On the zeros of the Davenport–Heilbronn function
S. A. Gritsenko
Tr. Mat. Inst. Steklova, 296 (2017),  72–94
2. On the solvability of Waring's equation involving natural numbers of a special type
S. A. Gritsenko, N. N. Motkina
Chebyshevskii Sb., 17:1 (2016),  37–51
3. On the Zeros of the Davenport–Heilbronn Function Lying on the Critical Line
S. A. Gritsenko
Mat. Zametki, 100:5 (2016),  774–778
4. Waring’s problem involving natural numbers of a special type
S. A. Gritsenko, N. N. Motkina
Chebyshevskii Sb., 15:3 (2014),  31–47
5. Asymptotical formula for fractional moments of some Dirichlet series
S. A. Gritsenko, L. N. Kurtova
Chebyshevskii Sb., 14:1 (2013),  18–33
6. On Zeros of Linear Combinations of Functions of Special Form Related to the Hecke $L$-Functions of Imaginary Quadratic Fields on Short Intervals
S. A. Gritsenko, D. B. Demidov
Sovrem. Probl. Mat., 17 (2013),  164–178
7. О распределении простых чисел в арифметической прогрессии с разностью, равной степени нечетного простого числа
S. A. Gritsenko, M. V. Shevtsova
Chebyshevskii Sb., 13:2 (2012),  56–58
8. О теореме Чудакова в простых числах специального вида
S. A. Gritsenko, N. N. Mot'kina
Chebyshevskii Sb., 13:2 (2012),  54–55
9. 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
S. A. Gritsenko
Tr. Mat. Inst. Steklova, 276 (2012),  96–108
10. On the computation of some singular series
S. A. Gritsenko, N. N. Mot'kina
Chebyshevskii Sb., 12:4 (2011),  85–92
11. On Chudakov's theorem involving primes of a special type
S. A. Gritsenko, N. N. Mot'kina
Chebyshevskii Sb., 12:4 (2011),  75–84
12. On the distribution of primes in an arithmetic progression whose difference is a power of a fixed prime
S. A. Gritsenko, M. V. Shevtsova
Chebyshevskii Sb., 12:1 (2011),  60–78
13. On a Problem of Karatsuba
S. A. Gritsenko
Mat. Zametki, 88:4 (2010),  517–528
14. The Hua Loo-Keng problem on prime numbers representable by given quadratic forms
S. A. Gritsenko
Izv. RAN. Ser. Mat., 71:3 (2007),  45–60
15. Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms
S. A. Gritsenko
Mat. Zametki, 81:2 (2007),  193–204
16. On the distribution of norms of prime ideals of the given class in arithmetic progressions
S. A. Gritsenko
Zap. Nauchn. Sem. POMI, 322 (2005),  45–62
17. Zeros of a special type of function associated with Hecke $L$-functions of imaginary quadratic fields
S. A. Gritsenko
Izv. RAN. Ser. Mat., 61:1 (1997),  45–68
18. On zeros of linear combinations of analogues of the Riemann function
S. A. Gritsenko
Tr. Mat. Inst. Steklova, 218 (1997),  134–150
19. Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series
S. A. Gritsenko
Izv. RAN. Ser. Mat., 60:4 (1996),  3–42
20. Zeros of special form of functions related to Dirichlet series from the Selberg class
S. A. Gritsenko
Mat. Zametki, 60:4 (1996),  601–605
21. Estimates of trigonometric sums by the third derivative
S. A. Gritsenko
Mat. Zametki, 60:3 (1996),  383–389
22. Approximate functional equation for the product of two Dirichlet $L$-functions
S. A. Gritsenko
Izv. RAN. Ser. Mat., 58:5 (1994),  26–52
23. The refinement of a constant in the density theorem
S. A. Gritsenko
Mat. Zametki, 55:2 (1994),  59–61
24. On a density theorem
S. A. Gritsenko
Trudy Mat. Inst. Steklov., 207 (1994),  70–81
25. Three additive problems
S. A. Gritsenko
Izv. RAN. Ser. Mat., 56:6 (1992),  1198–1216
26. On a density theorem
S. A. Gritsenko
Mat. Zametki, 51:6 (1992),  32–40
27. Goldbach's ternary problem and the Goldbach–Waring problem with prime numbers lying in intervals of special form
S. A. Gritsenko
Uspekhi Mat. Nauk, 43:4(262) (1988),  203–204
28. A problem of I. M. Vinogradov
S. A. Gritsenko
Mat. Zametki, 39:5 (1986),  625–640

29. Scientific Achievements of Anatolii Alekseevich Karatsuba
S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa
Sovrem. Probl. Mat., 16 (2012),  7–30

Presentations in Math-Net.Ru
1. 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   
2. 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   
3. 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   
4. О нулях линейных комбинаций L-функций Гекке мнимого квадратичного поля
S. A. Gritsenko
Contemporary Problems in Number Theory
February 20, 2014 14:30
5. 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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