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Mordell–Tornheim multiple zeta values at non-positive integers

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Abstract

We study the Mordell–Tornheim multiple zeta function with all the same parameters. Its values at non-positive integers are evaluated explicitly.

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Acknowledgements

The author would like to express his deep gratitude to Professors Nobushige Kurokawa and Hiroyuki Ochiai for their encouragement. They generously sent him preprints of their work [4]. It motivated him to produce this paper.

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Correspondence to Kazuhiro Onodera.

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The author was supported by Grant-in-Aid for JSPS Fellows (No. 22008809).

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Onodera, K. Mordell–Tornheim multiple zeta values at non-positive integers. Ramanujan J 32, 221–226 (2013). https://doi.org/10.1007/s11139-012-9441-3

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  • DOI: https://doi.org/10.1007/s11139-012-9441-3

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