Zeta functions for the riemann zeros

被引：14

作者：

Voros, A ^{[1
]}

机构：

[1] CEA, CNRS URA 2306, Serv Phys Theor Saclay, F-91191 Gif Sur Yvette, France

[2] Univ Paris 07, CNRS UMR 7586, Inst Math Jussieu Chevaleret, F-75251 Paris 05, France

来源：

ANNALES DE L INSTITUT FOURIER | 2003年 / 53卷 / 03期

关键词：

Riemarm zeta function; Riemann zeros; Dirichlet series; hadamard factorization; meromorphic functions; mellin transform;

D O I：

10.5802/aif.1955

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.

引用

页码：665 / +

页数：36

共 50 条

[31] Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function. II
Macaitiene, Renata
Siauciunas, Darius
LITHUANIAN MATHEMATICAL JOURNAL, 2021, 61 (03) : 382 - 390
[32] Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function. II
Renata Macaitienė
Darius Šiaučiūnas
Lithuanian Mathematical Journal, 2021, 61 : 382 - 390
[33] SIMPLE ZEROS OF THE RIEMANN ZETA-FUNCTION
ANDERSON, RJ
JOURNAL OF NUMBER THEORY, 1983, 17 (02) : 176 - 182
[34] ON DISTRIBUTION OF ZEROS OF RIEMANN ZETA-FUNCTION
LEHMAN, RS
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1970, 20 : 303 - &
[35] On the zeros of the Riemann zeta function of large multiplicity
Boyarinov, R. N.
MATHEMATICAL NOTES, 2011, 89 (5-6) : 613 - 618
[36] On the zeros zeta(s) de Riemann.
de la Vallee Poussin, C
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1916, 163 : 418 - 421
[37] The imaginary parts of the zeros of the Riemann zeta function
Gunes, Bahattin
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2018, 13 (01): : 29 - 36
[38] ZEROS OF DERIVATIVES OF RIEMANN ZETA-FUNCTION
LEVINSON, N
MONTGOME.HL
ACTA MATHEMATICA, 1974, 133 (1-2) : 49 - 65
[39] THE RIEMANN ZETA-FUNCTION AND ITS ZEROS
KARATSUBA, AA
RUSSIAN MATHEMATICAL SURVEYS, 1986, 40 (05) : 23 - 82
[40] SEPARATION OF ZEROS OF RIEMANN ZETA-FUNCTION
LEHMAN, RS
MATHEMATICS OF COMPUTATION, 1966, 20 (96) : 523 - &

← 1 2 3 4 5 →