On a variant of Schanuel conjecture for the Carlitz exponential

F Pellarin (1)

1 ICJ - Institut Camille Jordan

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 .

Domaines: Théorie des nombres [math.NT]

F Pellarin. On a variant of Schanuel conjecture for the Carlitz exponential. 2016. ⟨hal-01332997v1⟩