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

页码：217 / 228

页数：12

共 50 条

[1] Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros
Ramūnas Garunkštis
Antanas Laurinčikas
Periodica Mathematica Hungarica, 2018, 76 : 217 - 228
[2] ZEROS OF THE RIEMANN ZETA-FUNCTION IN THE DISCRETE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION
Laurincikas, Antanas
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2020, 57 (02) : 147 - 164
[3] Zeros of the Riemann zeta-function and its universality
Garunkstis, Ramunas
Laurincikas, Antanas
Macaitiene, Renata
ACTA ARITHMETICA, 2017, 181 (02) : 127 - 142
[4] A note on the zeros of the zeta-function of Riemann
Aleksandar Ivić
Archiv der Mathematik, 2019, 113 : 497 - 503
[5] A note on the zeros of the zeta-function of Riemann
Ivic, Aleksandar
ARCHIV DER MATHEMATIK, 2019, 113 (05) : 497 - 503
[6] Mean square of the Mellin transform of the Riemann zeta-function
Laurincikas, A.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (09) : 617 - 629
[7] Simple zeros and discrete moments of the derivative of the Riemann zeta-function
Garunkstis, R
Steuding, J
JOURNAL OF NUMBER THEORY, 2005, 115 (02) : 310 - 321
[8] ZEROS OF THE DERIVATIVES OF THE RIEMANN ZETA-FUNCTION
Ki, Haseo
Lee, Yoonbok
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2012, 47 (01) : 79 - 87
[9] 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
[10] Short series over simple zeros of the Riemann zeta-function
Slezeviciene, R
Steuding, J
INDAGATIONES MATHEMATICAE-NEW SERIES, 2004, 15 (01): : 129 - 132

← 1 2 3 4 5 →