On Karatsuba’s problem related to Gram’s law

被引：0

作者：

M. A. Korolev

机构：

[1] Russian Academy of Sciences,Steklov Mathematical Institute

来源：

Proceedings of the Steklov Institute of Mathematics | 2012年 / 276卷

关键词：

STEKLOV Institute; Asymptotic Formula; Survey Paper; Discontinuity Point; Riemann Zeta Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A number of new results related to Gram’s law in the theory of the Riemann zetafunction are proved. In particular, a lower bound is obtained for the number of ordinates of the zeros of the zeta-function that lie in a given interval and satisfy Gram’s law.

引用

页码：156 / 166

页数：10

共 50 条

[31] Cyclicity of elliptic curves modulo p and elliptic curve analogues of Linnik’s problem
A. C. Cojocaru
M. R. Murty
Mathematische Annalen, 2004, 330 : 601 - 625
[32] The Burnside problem on periodic groups and related questions
Adian, S. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2011, 272 : S2 - S12
[33] The primitive roots and a problem related to the Golomb conjecture
Zhang, Wenpeng
Wang, Tingting
AIMS MATHEMATICS, 2020, 5 (04): : 3899 - 3905
[34] The Burnside problem on periodic groups and related questions
S. I. Adian
Proceedings of the Steklov Institute of Mathematics, 2011, 272 : 2 - 12
[35] EXCEPTIONAL SETS IN WARING'S PROBLEM: TWO SQUARES, TWO CUBES AND TWO SIXTH POWERS
Lu, Xiaodong
Mu, Quanwu
TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (05): : 1359 - 1368
[36] On an asymptotic analysis problem related to the construction of an attainability domain
A. G. Chentsov
A. P. Baklanov
Proceedings of the Steklov Institute of Mathematics, 2015, 291 : 279 - 298
[37] Selberg’s method in the problem about the zeros of linear combinations of L-functions on the critical line
I. S. Rezvyakova
Doklady Mathematics, 2015, 92 : 448 - 451
[38] On the Fon-Der-Flaass interpretation of extremal examples for Turán’s (3, 4)-problem
Alexander A. Razborov
Proceedings of the Steklov Institute of Mathematics, 2011, 274 : 247 - 266
[39] THE MAXIMUM OF COTANGENT SUMS RELATED TO ESTERMANN'S ZETA FUNCTION IN RATIONAL NUMBERS IS SHORT INTERVALS
Maier, Helmut
Rassias, Michael Th.
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2017, 11 (01) : 166 - 176
[40] On two sums related to the Lehmer problem over short intervals
Song, Yanbo
AIMS MATHEMATICS, 2021, 6 (11): : 11723 - 11732

← 1 2 3 4 5 →