ON BELL POLYNOMIALS ASSOCIATED TO VASYUNIN COTANGENT SUMS

被引：0

作者：

Belhadj, Samir ^{[1
,2
]}

Goubi, Mouloud ^{[3
,4
]}

机构：

[1] Univ Sci & Technol Houari Boumdine, Fac Math, Dept Anal, Algiers 16000, Algeria

[2] Univ Mouloud Mammeri Tizi Ouzou, Lab Math Pures & Appl, Tizi Ouzou, Algeria

[3] Univ Mouloud Mammeri Tizi Ouzou, Fac Sci, Dept Math, Tizi Ouzou 15000, Algeria

[4] USTHB, Lab Algebra & Number Theory, Algiers, Algeria

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2022年 / 31卷

关键词：

Vasyunin cotangent sums; Riemann hypothesis; Bell polynomial; ZETA-FUNCTIONS; SERIES; EXPLICIT; FORMULAS;

D O I：

10.24330/ieja.1058435

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present work is focused on the study of a cotangent sum associated to the zeros of the Estermann zeta function and Riemann zeta function. We use Bell polynomials and generating functions approach to give arithmetical proof of its Dirichlet series different from that given by M. Th. Rassias.

引用

页码：230 / 242

页数：13

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