Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros

被引：6

作者：

Garunkstis, Ramunas ^{[1
]}

Laurincikas, Antanas ^{[1
]}

机构：

[1] Vilnius Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania

来源：

PERIODICA MATHEMATICA HUNGARICA | 2018年 / 76卷 / 02期

关键词：

Riemann zeta-function; Riemann hypothesis; Discrete mean square; THEOREM; LANDAU;

D O I：

10.1007/s10998-017-0228-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assume the Riemann hypothesis. On the right-hand side of the critical strip, we obtain an asymptotic formula for the discrete mean square of the Riemann zeta-function over imaginary parts of its zeros.

引用

下载

页码：217 / 228

页数：12

共 50 条

[31] A HARMONIC SUM OVER NONTRIVIAL ZEROS OF THE RIEMANN ZETA-FUNCTION
Brent, Richard P.
Platt, David J.
Trudgian, Timothy S.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021, 104 (01) : 59 - 65
[32] Short series over simple zeros of the Riemann zeta-function
Slezeviciene, R
Steuding, J
INDAGATIONES MATHEMATICAE-NEW SERIES, 2004, 15 (01): : 129 - 132
[33] ACCURATE ESTIMATION OF SUMS OVER ZEROS OF THE RIEMANN ZETA-FUNCTION
Brent, Richard P.
Platt, David J.
Trudgian, Timothy S.
MATHEMATICS OF COMPUTATION, 2021, 90 (332) : 2923 - 2935
[34] The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
Bettin, Sandro
Chandee, Vorrapan
Radziwill, Maksym
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 729 : 51 - 79
[35] ON THE MEAN-SQUARE OF THE RIEMANN ZETA-FUNCTION ON THE CRITICAL LINE
HAFNER, JL
IVIC, A
JOURNAL OF NUMBER THEORY, 1989, 32 (02) : 151 - 191
[36] On the connection of fractional moments of the riemann zeta-function with its zeros
Gritsenko S.A.
Demidov D.B.
Journal of Mathematical Sciences, 2011, 173 (2) : 188 - 193
[37] On large spacing of the zeros of the Riemann zeta-function
Feng, ShaoJi
Wu, XiaoSheng
JOURNAL OF NUMBER THEORY, 2013, 133 (08) : 2538 - 2566
[38] ON THE DISTRIBUTION OF MULTIPLICITIES OF ZEROS OF RIEMANN ZETA-FUNCTION
MOSER, J
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1994, 44 (03) : 385 - 404
[39] The Values of the Periodic Zeta-Function at the Nontrivial Zeros of Riemann's Zeta-Function
Tongsomporn, Janyarak
Wananiyakul, Saeree
Steuding, Joern
SYMMETRY-BASEL, 2021, 13 (12):
[40] On gaps between zeros of the Riemann zeta-function
Feng, Shaoji
Wu, Xiaosheng
JOURNAL OF NUMBER THEORY, 2012, 132 (07) : 1385 - 1397

← 1 2 3 4 5 →