Séminaire Stéphanois de Mathématiques Accessibles

Séminaire de mathématiques accessibles

by Kohji MASTSUMOTO (Naoya University, Japan)

Europe/Paris
Salle C 112 (UJM site Métare)

Salle C 112

UJM site Métare

23 rue du Docteur Paul Michelon Saint-Etienne
Description

Titre: "Mixed joint universality for zeta-functions"

Résumé:
"The Riemann zeta-function has the universality
property, that is, roughly, it approximates any holomorphic
function on a given compact set.   Now it is known that many other
zeta and $L$-functions satisfy the same property.   Under some
suitable conditions, simultaneous (or "joint") universality among
several zeta-functions also holds.    In particular, the joint
universality between a zeta-function with Euler product and
another zeta-function without Euler product, first discovered by
H. Mishou, is called the mixed joint universality.    In this talk
we will discuss how general the mixed joint universality holds.
(This is a joint work with R. Kacinskaite.)"

Prérequis: "un peu d'analyse complexe de base et  un peu de proba de base"