Valeurs z\^eta multiples

Autor: Dupont, Clément
Jazyk: francouzština
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: This survey article is the written version of two talks given at the Journ\'ees X-UPS 2019 "P\'eriodes et transcendance" at \'Ecole 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.
Comment: 29 pages, in French. This survey article is the written version of two talks given at the Journ\'ees X-UPS 2019 "P\'eriodes et transcendance" at \'Ecole polytechnique
Databáze: arXiv