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Propriétés différentielles et diophantiennes des E- et G-fonctions

Abstract : This PhD thesis is divided into two parts which both concern the differential and Diophantine properties of Siegel’s G-functions, as well as the properties of E-functions to some extent. In a first part, we interest ourselves, given a G-function F(z) with coefficients in a number field K and an integer S, to a family of G-functions (F_{n,b}^{[s]}(z)), indexed by the positive integers n and s
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Submitted on : Thursday, February 10, 2022 - 2:43:08 PM
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Gabriel Lepetit. Propriétés différentielles et diophantiennes des E- et G-fonctions. Théorie des nombres [math.NT]. Université Grenoble Alpes [2020-..], 2021. Français. ⟨NNT : 2021GRALM036⟩. ⟨tel-03564465⟩

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