English

A sum-shuffle formula for zeta values in Tate algebras

Number Theory 2017-03-16 v3

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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Cite

@article{arxiv.1609.08873,
  title  = {A sum-shuffle formula for zeta values in Tate algebras},
  author = {Federico Pellarin},
  journal= {arXiv preprint arXiv:1609.08873},
  year   = {2017}
}

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