Linear independence of values of polylogarithms with periodic coefficients, outside the disk of convergence

Ludovic Mistiaen

For any non-zero periodic function f\,: Z $\to$ C of period N ___ 1 and any non-zero algebraic number z\_0 that doesn't lie on a half-line [e^2i$\ell$$\pi$/N , e^2i$\ell$…