Selberg’s central limit theorem for log
Maksym Radziwiłł
McGill University, Montreal, CanadaKannan Soundararajan
Stanford University, USA
![Selberg’s central limit theorem for log $|\zeta(\tfrac 12+it)|$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-lem-volume-63-issue-1.png&w=3840&q=90)
Abstract
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 is approximately normally distributed with mean 0 and variance log log .
Cite this article
Maksym Radziwiłł, Kannan Soundararajan, Selberg’s central limit theorem for log . Enseign. Math. 63 (2017), no. 1/2, pp. 1–19
DOI 10.4171/LEM/63-1/2-1