A sum-shuffle formula for zeta values in Tate algebras

Federico Pellarin 1
1 CTN - Combinatoire, théorie des nombres
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : We prove a sum-shuffle formula for multiple zeta values in Tate algebras (in positive characteristic), introduced by the author.This follows from an analog result for double twisted power sums, implying that a vector space generated by multiple zeta values in Tate algebras is an algebra.
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Submitted on : Sunday, March 12, 2017 - 5:39:03 PM
Last modification on : Monday, May 13, 2019 - 11:06:06 AM

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  • HAL Id : hal-01372952, version 3
  • ARXIV : 1609.08873

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Federico Pellarin. A sum-shuffle formula for zeta values in Tate algebras. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2017, 29 (3), pp.845-873. ⟨hal-01372952v3⟩

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