Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\)
type: Item
instance of: scholarly article
title: Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\)
zbMATH Open document ID: 1432.11117
DOI: 10.4171/LEM/63-1/2-1
author: Maksym Radziwiłł
author: Kannan Soundararajan
published in: L'Enseignement Mathématique. 2e Série
publication date: 2018-04-27T00:00:00Z
review text: Summary: We present a new and simple proof of Selberg's central limit theorem, according to which the logarithm of the Riemann zeta-function at height \(t\) is approximately normally distributed with mean 0 and variance \(\frac12\log\log t\).
Mathematics Subject Classification ID: 11M06
zbMATH DE Number: 6865189
zbMATH Keywords: Riemann zeta-function
zbMATH Keywords: value distribution
zbMATH Keywords: central limit theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/lem/63-1/2-1
OpenAlex ID: W2963106368
description: scientific article; zbMATH DE number 6865189