Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers

Tomokazu Onozuka

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arXiv · 1205.2768

Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers

Tomokazu Onozuka

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Abstract

We prove two theorems. Theorem 1 gives the meromorphic continuation of the multiple zeta function to the whole space. In Theorem 2, we prove asymptotic behavior near the non-positive integers.

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Tomokazu Onozuka. 2012-05-12. Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers. https://arxiv.org/abs/1205.2768

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