3 citations · 4 across the 5 of their papers we have counts for
5 papers
Computing basis of solutions of any Mahler equation
Colin Faverjon, Marina Poulet
Mahler equations arise in a wide range of contexts including the study of finite automata, regular sequences, algebraic series over Fp(z), and periods of Drinfeld modules. Introduc…
Regular singular Mahler equations and Newton polygons
Colin Faverjon, Marina Poulet
Though Mahler equations have been introduced nearly one century ago, the study of their solutions is still a fruitful topic for research. In particular, the Galois theory of Mahler…
On the computation of the difference Galois groups of order three equations
Thomas Dreyfus, Marina Poulet
In this paper we consider the problem of computing the difference Galois groups of order three equations for a large class of difference operators including the shift operator (Cas…
An algorithm to recognize regular singular Mahler systems
Colin Faverjon, Marina Poulet
This paper is devoted to the study of the analytic properties of Mahler systems at 0. We give an effective characterisation of Mahler systems that are regular singular at 0, that i…
A density theorem for the difference Galois groups of regular singular Mahler equations
Marina Poulet
The difference Galois theory of Mahler equations is an active research area. The present paper aims at developing the analytic aspects of this theory. We first attach a pair of con…