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Federico Pellarin
A sum-shuffle formula for zeta values in Tate algebras
Journal de théorie des nombres de Bordeaux, 29 no. 3 (2017), p. 1025-1048, doi: 10.5802/jtnb.1010
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Class. Math.: 11M38
Keywords: Multiple zeta values, Function field arithmetic, Carlitz zeta values

Résumé - Abstract

We prove a sum-shuffle formula for multiple zeta values in Tate algebras (in positive characteristic), introduced in [9]. 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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