On Bell polynomials associated to Vasyunin cotangent sums

Authors : Samir BELHADJ, Mouloud GOUBİ

Pages : 230-242

Doi:10.24330/ieja.1058435

View : 22 | Download : 7

Publication Date : 2022-01-17

Article Type : Research Paper

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