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arXiv · 1903.00250

Series representation of a cotangent sum related to the Estermann zeta function

Mouloud Goubi
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Abstract

In this paper, we are interested by the cotangent sum c0(q/p) related to the Estermann zeta function for the special case when q = 1 and get explicit formula for its series expansion, which represents an improvement of the identity (2:1) Theorem (2:1) in the recent work [11].

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Mouloud Goubi. 2019-03-01. Series representation of a cotangent sum related to the Estermann zeta function. https://arxiv.org/abs/1903.00250

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