Multidimensional Selberg theorem and fluctuations of the zeta zeros via Malliavin calculus

Tudor, Ciprian

Type de document :

Pré-publication ou Document de travail

Titre :

Multidimensional Selberg theorem and fluctuations of the zeta zeros via Malliavin calculus

Auteur(s) :

Tudor, Ciprian [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]

Résumé en anglais : [en]

We give new contributions on the distribution of the zeros of the Riemann zeta function by using the techniques of the Malliavin calculus. In particular, we obtain the error bound in the multidimensional Selberg' s central ...
Lire la suite >We give new contributions on the distribution of the zeros of the Riemann zeta function by using the techniques of the Malliavin calculus. In particular, we obtain the error bound in the multidimensional Selberg' s central limit theorem concerning the zeta zeros on the critical line and we discuss some consequences concerning the asymptotic behavior of the mesoscopic fluctuations of the zeta zeros.Lire moins >

Langue :

Anglais

Commentaire :

an error occurs in the proof of Theorem 2

Collections :