Valeurs zêta multiples

Abstract

This survey article is the written version of two talks given at the Journées X-UPS 2019 "Périodes et transcendance" at École polytechnique. We give a gentle introduction to the study of multiple zeta values, from Euler's solution to the Basel problem to modern Galois theoretic tools. We emphasize the role of the theory of motives which conjecturally controls the structure of the algebra of multiple zeta values.

arXiv comment29 pages, in French. This survey article is the written version of two talks given at the Journées X-UPS 2019 "Périodes et transcendance" at École polytechnique