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The first derivative multiple zeta values at non-positive integers

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Abstract

In this article, we prove some explicit results for the first derivative multiple zeta values at non-positive integers and apply them to a certain classical problem in number theory which was studied and developed by E. Hecke, A. Fujii and K. Matsumoto. Further, we consider the relation between regular values and reverse values for the multiple zeta-function via a certain functional relation.

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Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan

    Yoshitaka Sasaki

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  1. Yoshitaka Sasaki
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Correspondence to Yoshitaka Sasaki.

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Sasaki, Y. The first derivative multiple zeta values at non-positive integers. Ramanujan J 21, 267–284 (2010). https://doi.org/10.1007/s11139-009-9201-1

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  • DOI: https://doi.org/10.1007/s11139-009-9201-1

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