Résumé : The polylogarithm map Li can be extended partly to some series. In this talk, we examine the algebra generated by the image of Li of a particular family of series that we call "Star of the plane". We discuss the basis of the algebra as a module and the characters of this algebra. We also prove the linear independence of the usual polylogarithms over this algebra.

Dernière modification : Thursday 21 November 2024

Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr