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arXiv:2111.06072 [math.NT]AbstractReferencesReviewsResources

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

Hideki Murahara, Tomokazu Onozuka

Published 2021-11-11, updated 2021-12-02Version 2

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.

Categories: math.NT
Subjects: 11M32
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