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

共 50 条

[31] On universal relatives of the Riemann zeta-function
Markus Niess
Journal of Contemporary Mathematical Analysis, 2009, 44 : 335 - 339
[32] On the Behavior of the Logarithm of the Riemann Zeta-Function
Shōta Inoue
Results in Mathematics, 2022, 77
[33] ZEROS OF THE DERIVATIVES OF THE RIEMANN ZETA-FUNCTION
Ki, Haseo
Lee, Yoonbok
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2012, 47 (01) : 79 - 87
[34] ON THE SEVERAL IDENTITIES OF RIEMANN ZETA-FUNCTION
张文鹏
ChineseScienceBulletin, 1991, (22) : 1852 - 1856
[35] On Universal Relatives of the Riemann Zeta-function
Niess, Markus
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2009, 44 (05): : 335 - 339
[36] On joint distribution of the Riemann zeta-function
Laurincikas, A.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (11) : 853 - 862
[37] NEW EFFECTIVE RESULTS IN THE THEORY OF THE RIEMANN ZETA-FUNCTION
Simonic, Aleksander
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024, 109 (02) : 403 - 406
[38] Approximating the Riemann Zeta-function by Polynomials with Restricted Zeros
Gauthier, P. M.
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2019, 62 (03): : 475 - 478
[39] Upper bounds for discrete moments of the derivatives of the riemann zeta-function on the critical line*
Christ, Thomas
Kalpokas, Justas
LITHUANIAN MATHEMATICAL JOURNAL, 2012, 52 (03) : 233 - 248
[40] Upper bounds for discrete moments of the derivatives of the riemann zeta-function on the critical line*
Thomas Christ
Justas Kalpokas
Lithuanian Mathematical Journal, 2012, 52 : 233 - 248

← 1 2 3 4 5 →