550 citations
- Lyon 1 UniversitéFR249 papers
- International Center for Transitional JusticeUS221 papers
- Centre National de la Recherche ScientifiqueFR178 papers
- Analyse, Géométrie et ModélisationFR60 papers
- Laboratoire de Chimie ThéoriqueFR32 papers
- Institut National des Sciences Appliquées de LyonFR31 papers
- École Centrale de LyonFR29 papers
- Université Jean MonnetFR25 papers
- Institut Universitaire de FranceFR20 papers
- Université Paris CitéFR20 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR18 papers
- Sorbonne UniversitéFR18 papers
5 papers · 2 filters
-unit equation in two variables and Padé approximations
Noriko Hirata-Kohno, Makoto Kawashima, Anthony Poëls +1
In this article, we use Padé approximations constructed for binomial functions, to give a new upper bound for the number of the solutions of the -unit equation. Combining explic…
A new proof of Nishioka's theorem in Mahler's method
Boris Adamczewski, Colin Faverjon
In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a m…
The infinite fern in higher dimensions
Valentin Hernandez, Benjamin Schraen
If is an automorphic modulo Galois representation, it is natural to wonder if automorphic points are Zariski dense in the deformation space of . We prove new res…
On Abel's problem and Gauss congruences
É. Delaygue, T. Rivoal
A classical problem due to Abel is to determine if a differential equation admits a non-trivial solution algebraic over when is a given algebraic fun…
Padé approximation for a class of hypergeometric functions and parametric geometry of numbers
Makoto Kawashima, Anthony Poëls
In this article we obtain new irrationality measures for values of functions which belong to a certain class of hypergeometric functions including shifted logarithmic functions, bi…