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Published March 9, 2018 | public
Journal Article

Selberg's central limit theorem for log |ζ(1/2+it)|


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 1/2 log log t.

Additional Information

© 2018 EMS Publishing House. Published online: 2018-03-09.

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October 18, 2023