3 papers
cs.SC2025
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…
cs.SC2025
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…
cs.SC2024
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…