On a variant of Schanuel conjecture for the Carlitz exponential

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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https://hal.archives-ouvertes.fr/hal-01332997
Contributor : Federico Pellarin <>
Submitted on : Thursday, October 13, 2016 - 2:06:05 PM
Last modification on : Thursday, March 15, 2018 - 10:31:31 AM

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  • HAL Id : hal-01332997, version 2
  • ARXIV : 1610.04048

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F Pellarin. On a variant of Schanuel conjecture for the Carlitz exponential. 2016. ⟨hal-01332997v2⟩

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