Propriétés d'indépendance algébrique de valeurs de séries de Hecke-Mahler

Here we characterize in a complete and explicit way the relations of algebraic dependence over Q of complex values of Hecke-Mahler series at algebraic points of the multiplicative group Gm2(C). Our result contains previous results of Loxton and van der Poorten, Mahler, and Masser. To cite this article: F. Pellarin, C. R. Acad. Sci. Paris, Ser. I 340 (2005).