A cotangent sum related to zeros of the Estermann zeta function

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摘要

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.

论文关键词：Cotangent sums,Asymptotic approximation,Taylor expansion,Estermann zeta function,Riemann hypothesis,Fractional part

论文评审过程：Available online 21 May 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.04.086