On a variant of Schanuel conjecture for the Carlitz exponential

F Pellarin

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arXiv · 1610.04048

On a variant of Schanuel conjecture for the Carlitz exponential

F Pellarin

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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.

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F Pellarin. 2016-10-13. On a variant of Schanuel conjecture for the Carlitz exponential. https://arxiv.org/abs/1610.04048

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