A cotangent sum related to zeros of the Estermann zeta function
Michael Th. Rassias
TL;DR
This paper improves the error term in an asymptotic formula related to a cotangent sum connected to Estermann's Zeta function, enhancing understanding of its properties.
Contribution
It offers an elementary, self-contained enhancement of the error term in a key asymptotic formula involving the cotangent sum and Estermann's Zeta function.
Findings
Improved error term in the asymptotic formula
Elementary and self-contained proof approach
Enhanced understanding of the cotangent sum's properties
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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Taxonomy
TopicsGraph theory and applications · Mathematical functions and polynomials · advanced mathematical theories