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

Tudor, Ciprian

Document type :

Pré-publication ou Document de travail

Title :

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

Author(s) :

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

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Comment :

an error occurs in the proof of Theorem 2

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