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Gritsenko Sergey Alexandrovich
Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 29
Presentations: 7
Number of views: This page: 2072 Abstract pages: 5944 Full texts: 1972 References: 628
Doctor of physico-mathematical sciences (1998)
Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
19.04.1957
E-mail:
email
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
1.
On fractional moments of the mollified Dirichlet $L$ -functions Chebyshevskii Sb. , 18 :4 (2017), 168–187
2.
On the zeros of the Davenport–Heilbronn function Tr. Mat. Inst. Steklova , 296 (2017), 72–94
3.
On the solvability of Waring's equation involving natural numbers of a special type Chebyshevskii Sb. , 17 :1 (2016), 37–51
4.
On the Zeros of the Davenport–Heilbronn Function Lying on the Critical Line Mat. Zametki , 100 :5 (2016), 774–778
5.
Waring’s problem involving natural numbers of a special type Chebyshevskii Sb. , 15 :3 (2014), 31–47
6.
Asymptotical formula for fractional moments of some Dirichlet series Chebyshevskii Sb. , 14 :1 (2013), 18–33
7.
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
8.
О распределении простых чисел в арифметической прогрессии с разностью, равной степени нечетного простого числа Chebyshevskii Sb. , 13 :2 (2012), 56–58
9.
О теореме Чудакова в простых числах специального вида Chebyshevskii Sb. , 13 :2 (2012), 54–55
10.
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
11.
On the computation of some singular series Chebyshevskii Sb. , 12 :4 (2011), 85–92
12.
On Chudakov's theorem involving primes of a special type Chebyshevskii Sb. , 12 :4 (2011), 75–84
13.
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
14.
On a Problem of Karatsuba Mat. Zametki , 88 :4 (2010), 517–528
15.
The Hua Loo-Keng problem on prime numbers representable
by given quadratic forms Izv. RAN. Ser. Mat. , 71 :3 (2007), 45–60
16.
Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms Mat. Zametki , 81 :2 (2007), 193–204
17.
On the distribution of norms of prime ideals of the given class in arithmetic progressions Zap. Nauchn. Sem. POMI , 322 (2005), 45–62
18.
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
19.
On zeros of linear combinations of analogues of the Riemann function Tr. Mat. Inst. Steklova , 218 (1997), 134–150
20.
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
21.
Zeros of special form of functions related to Dirichlet series from the Selberg class Mat. Zametki , 60 :4 (1996), 601–605
22.
Estimates of trigonometric sums by the third derivative Mat. Zametki , 60 :3 (1996), 383–389
23.
Approximate functional equation for the product of two Dirichlet $L$ -functions Izv. RAN. Ser. Mat. , 58 :5 (1994), 26–52
24.
The refinement of a constant in the density theorem Mat. Zametki , 55 :2 (1994), 59–61
25.
On a density theorem Trudy Mat. Inst. Steklov. , 207 (1994), 70–81
26.
Three additive problems Izv. RAN. Ser. Mat. , 56 :6 (1992), 1198–1216
27.
On a density theorem Mat. Zametki , 51 :6 (1992), 32–40
28.
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
29.
A problem of I. M. Vinogradov Mat. Zametki , 39 :5 (1986), 625–640
30.
Scientific Achievements of Anatolii Alekseevich Karatsuba Sovrem. Probl. Mat. , 16 (2012), 7–30
Presentations in Math-Net.Ru
1.
О нулях некоторых арифметических рядов
Дирихле 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
2.
On the fractional moments of some mollified arithmetical Dirichlet series А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications May 23, 2017
3.
On the zeroes of the function of Davenport and Heilbronn lying on the critical line Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 28, 2016
4.
On the zeros of some class of Dirchlet series without Euler product Conference in memory of A. A. Karatsuba on number theory and applications, 2015 January 30, 2015
5.
О нулях линейных комбинаций L-функций Гекке мнимого квадратичного поля Contemporary Problems in Number Theory February 20, 2014 14:30
6.
On some diophantine inequalities involving primes Conference in memory of A. A. Karatsuba on number theory and applications January 31, 2014
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