Transfer group for renormalized multiple zeta values

Kurusch Ebrahimi-Fard; Dominique Manchon; Johannes Singer; Jianqiang Zhao

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arXiv · 1510.09159

Transfer group for renormalized multiple zeta values

Kurusch Ebrahimi-Fard·Dominique Manchon·Johannes Singer·Jianqiang Zhao

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Abstract

We describe in this work all solutions to the problem of renormalizing multiple zeta values at arguments of any sign in a quasi-shuffle compatible way. As a corollary we clarify the relation between different renormalizations at non-positive values appearing in the recent literature.

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Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer, Jianqiang Zhao. 2015-10-30. Transfer group for renormalized multiple zeta values. https://arxiv.org/abs/1510.09159

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