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math.NT2023
Relations algébriques entre valeurs de E-fonctions ou de M-fonctions
Boris Adamczewski, Colin Faverjon
We prove that all algebraic relations over between values of Siegel's -functions at some non-zero algebraic point have a functional source, in that they c…
math.NT2016★ 11 cited
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
Boris Adamczewski, Colin Faverjon
This note deals with some effective results in Mahler's method. In a recent work, we used a theorem of Philippon to show that given a Mahler function in , wher…
math.NT2015★ 20 cited
Méthode de Mahler: relations linéaires, transcendance et applications aux nombres automatiques
Boris Adamczewski, Colin Faverjon
This paper is concerned with Mahler's method. We study in detail the structure of linear relations between values of Mahler functions at algebraic points. In particular, given a fi…