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On Bell polynomials associated to Vasyunin cotangent sums. (English) Zbl 1479.11063

Summary: 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 [Appl. Math. Comput. 240, 161–167 (2014; Zbl 1334.11068)].

MSC:

11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11F20 Dedekind eta function, Dedekind sums

Citations:

Zbl 1334.11068
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References:

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