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arXiv · 2111.06072

Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points

Hideki Murahara·Tomokazu Onozuka
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Abstract

We give a result on the asymptotic behavior of the Hurwitz-Lerch multiple zeta functions near non-positive integer points by using the Apostol-Bernoulli polynomials. From this result, we can evaluate limit values at non-positive integer points.

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Hideki Murahara, Tomokazu Onozuka. 2021-11-11. Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points. https://arxiv.org/abs/2111.06072

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