Number Theory

    

Algebraic Independence of Carlitz Polylogarithms in V-Adic

Authors: David Adam, Laurent Denis

In this article, we prove the algebraic independence of values special features of the Carlitz-Goss zeta function in a finite place. We characterize also the algebraic independence of values u200bu200bof Carlitz polylogarithms in onefinished place. To do this, we overcome the restrictions in the method of Mahler developed by the second author within the framework of the finished characteristic. This puts us in a position to show results of algebraic independence in finite characteristics in finite places that Papanikolas' method does not yet allow to obtain.

Comments: 19 Pages. Réagencement de l'article. Les résultats sont identiques.

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Submission history

[v1] 2025-01-16 00:15:12
[v2] 2025-04-03 03:52:30

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