3 papers
math.CA2025
Representability of G-functions as rational functions in hypergeometric series
Thomas Dreyfus, Tanguy Rivoal
Fresán and Jossen have given a negative answer to a question of Siegel about the representability of every -function as a polynomial with algebraic coefficients in -function…
math.PR2025
Degenerate systems of three Brownian particles with asymmetric collisions: invariant measure of gaps
Thomas Dreyfus, Jules Flin, Sandro Franceschi
We consider a degenerate system of three Brownian particles undergoing asymmetric collisions. We study the gap process of this system and focus on its invariant measure. The gap pr…
math.NT2025
Hypertranscendence and linear difference equations, the exponential case
Thomas Dreyfus
In this paper we study meromorphic functions solutions of linear shift difference equations in coefficients in involving the operator , for…