Linear independence of values of G-functions

Stéphane Fischler, Tanguy Rivoal

Given any non-polynomial $G$-function $F(z)=\sum \_{k=0}^{\infty }A\_k{z}^k$ of radius of convergence $R$, we consider the $G$-functions $F\_n^{[s]}(z)=\sum\_{k=0}^\infty \frac{A\_k}{(…