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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★ 4 cited
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…