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A cotangent sum related to zeros of the Estermann zeta function

2015/12/15 by Michael Th. Rassias, Rassias, Michael Th.
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Graph theory and applications #Mathematical functions and polynomials #advanced mathematical theories #math.CA

paper · pdf · doi:10.48550/arxiv.1512.04711

This paper has been published in the journal: Applied Mathematics and Computation, 240(2014), 161-167

arxiv created 2015/12/15 · openalex publication_date 2015/12/15 · arxiv updated 2015/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a cotangent sum related to Estermann's Zeta function. We provide an elementary and self-contained improvement of the error term in an asymptotic formula proved by V. I. Vasyunin.

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