Discrete Schwartz distributions and the Riemann zeta-function

被引：1

作者：

Nicolae, Florin ^{[1
,2
]}

Verjovsky, Alberto ^{[3
]}

机构：

[1] Tech Univ Berlin, Inst Math MA 8 1, D-10623 Berlin, Germany

[2] Acad Romana, Inst Math, RO-014700 Bucharest, Romania

[3] Univ Nacl Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Cuernavaca 62251, Morelos, Mexico

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2010年 / 41卷 / 02期

关键词：

Riemann zeta function; Riemann hypothesis; arithmetical functions; Schwartz distributions;

D O I：

10.1007/s00574-010-0010-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain criteria for the Riemann hypothesis using discrete Schwartz distributions defined by the arithmetical functions of Euler, von Mangoldt, Mobius, and Liouville.

引用

页码：211 / 221

页数：11

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