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arXiv · 1609.08873

A sum-shuffle formula for zeta values in Tate algebras

Federico Pellarin
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Abstract

We prove a sum-shuffle formula for multiple zeta values in Tate algebras (in positive characteristic), introduced in \cite{PEL3}.This follows from an analog result for double twisted power sums, implying that an ${\mathbb{F}\_p$-vector space generated by multiple zeta values in Tate algebras is an ${\mathbb{F}\_p$-algebra.

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Federico Pellarin. 2016-09-28. A sum-shuffle formula for zeta values in Tate algebras. https://arxiv.org/abs/1609.08873

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