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Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals

Khristo N. Boyadzhiev
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Abstract

We introduce a new technique for evaluation of series with zeta coefficients and also for evaluation of certain integrals involving the logGamma function. This technique is based on Hankel integral representations of the Hurwitz zeta, the Lerch Zeta, the Digamma and logGamma functions.

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Khristo N. Boyadzhiev. 2006-06-08. Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals. https://arxiv.org/abs/math/0606173

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