2 papers
math.NT2025
A purity theorem for Mahler equations
Colin Faverjon, Julien Roques
The principal aim of this paper is to establish a purity theorem for Mahler functions that is reminiscent of famous purity theorems for G-functions by D. and G. Chudnovsky and for…
cs.SC2024
Hahn series and Mahler equations: Algorithmic aspects
C. Faverjon, Julien Roques
Many articles have recently been devoted to Mahler equations, partly because of their links with other branches of mathematics such as automata theory. Hahn series (a generalizatio…