Selberg's central limit theorem for $\log |\zeta(\tfrac 12+it)|$
Number Theory
2015-09-24 v1 Classical Analysis and ODEs
Abstract
We present a new and simple proof of Selberg's central limit theorem, according to which is approximately normally distributed with mean and variance .
Keywords
Cite
@article{arxiv.1509.06827,
title = {Selberg's central limit theorem for $\log |\zeta(\tfrac 12+it)|$},
author = {Maksym Radziwiłł and Kannan Soundararajan},
journal= {arXiv preprint arXiv:1509.06827},
year = {2015}
}
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12 pages