On Bell polynomials associated to Vasyunin cotangent sums

Year 2022, Volume: 31 Issue: 31, 230 - 242, 17.01.2022

Samir Belhadj Mouloud Goubi

https://doi.org/10.24330/ieja.1058435

Abstract

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.

Keywords

Vasyunin cotangent sums, Riemann hypothesis, Bell polynomial

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