On a variant of Schanuel conjecture for the Carlitz exponential
Federico Pellarin1
1 Institut Camille Jordan UMR 5208 Site de Saint-Etienne 23 rue du Dr. P. Michelon 42023 Saint-Etienne, France
Journal de théorie des nombres de Bordeaux, Volume 29 (2017) no. 3, pp. 845-873.

We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponential function over Tate algebras and allied functions. Another purpose of the present paper is to widen the horizons of possible investigations in transcendence and algebraic independence in positive characteristic.

Nous introduisons et décrivons une variante de la conjecture de Schanuel dans le cadre de l’exponentielle de Carlitz sur des algèbres de Tate et de fonctions similaires. Un autre objectif de ce travail est de stimuler des possibles investigations en transcendance et indépendance algébrique en caractéristique non nulle.

Received:
Accepted:
Published online:
DOI: 10.5802/jtnb.1004
Classification: 11M38
Keywords: Multiple zeta values, Carlitz module, Schanuel’s conjecture.

Federico Pellarin 1

1 Institut Camille Jordan UMR 5208 Site de Saint-Etienne 23 rue du Dr. P. Michelon 42023 Saint-Etienne, France
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Federico Pellarin. On a variant of Schanuel conjecture for the Carlitz exponential. Journal de théorie des nombres de Bordeaux, Volume 29 (2017) no. 3, pp. 845-873. doi : 10.5802/jtnb.1004. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1004/

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