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.

On a variant of schanuel conjecture for the carlitz exponential / Pellarin, F.. - In: JOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX. - ISSN 1246-7405. - 29:3(2017), pp. 845-873. [10.5802/jtnb.1004]

On a variant of schanuel conjecture for the carlitz exponential

Pellarin F.
2017

Abstract

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.
2017
Carlitz module; multiple zeta values; Schanuel’s conjecture
01 Pubblicazione su rivista::01a Articolo in rivista
On a variant of schanuel conjecture for the carlitz exponential / Pellarin, F.. - In: JOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX. - ISSN 1246-7405. - 29:3(2017), pp. 845-873. [10.5802/jtnb.1004]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1594657
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