On Bell polynomials associated to Vasyunin cotangent sums

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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