2 papers
cs.SC2025
Frobenius method for Mahler equations
Julien Roques
Using Hahn series, one can attach to any linear Mahler equation a basis of solutions at 0 reminiscent of the solutions of linear differential equations at a regular singularity. We…
math.NT2024
Algebraic solutions of linear differential equations: an arithmetic approach
Alin Bostan, Xavier Caruso, Julien Roques
Given a linear differential equation with coefficients in , an important question is to know whether its full space of solutions consists of algebraic functions, or…