A sum-shuffle formula for zeta values in Tate algebras

2016/09/28 by Federico Pellarin, Pellarin, Federico
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #math.NT

paper · pdf · doi:10.48550/arxiv.1609.08873

Small modifications

arxiv created 2017/03/15 · arxiv updated 2017/03/16

Abstract

We prove a sum-shuffle formula for multiple zeta values in Tate algebras (in positive characteristic), introduced in \citePEL3.This follows from an analog result for double twisted power sums, implying that an \mathbbF_p-vector space generated by multiple zeta values in Tate algebras is an \mathbbF_p-algebra.

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