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

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