Some infinite sums arising from the Weierstrass product theorem
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摘要
A very simple approach using series manipulations and the Weierstrass Representation Theorem yield surprisingly nice and non-trivial series identities involving special functions. In our paper we present a large number of examples of these identities. At the end, several number theoretical sums are deduced.
论文关键词：Digamma function,Trigamma function,Hurwitz zeta function,Prime zeta function,Generalized harmonic numbers,Weierstrass product theorem
论文评审过程：Available online 23 April 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.03.122
