20 citations · 31 across the 3 of their papers we have counts for
5 papers
Linear disjointness and values of Mahler M-functions
Colin Faverjon, Boris Adamczewski
We prove that the algebra generated by the values of Mahler M-functions at algebraic points admits a decomposition as the tensor product, over Q, of a countable family of linearly…
The Siegel-Shidlovskii Method Revisited
Boris Adamczewski, Colin Faverjon
We revisit the classical Siegel-Shidlovskii method in transcendental number theory from a new perspective, in which functional relations play a central role. Within a single self-c…
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…
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…
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…