Chaos expansion of uniformly distributed random variables and application to number theory
Open Access
- 26 March 2021
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 8 (2), 275-289
- https://doi.org/10.15559/21-vmsta172
Abstract
Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: Chaos expansion of uniformly distributed random variables and application to number theory, Authors: Ciprian Tudor , The chaos expansion of a random variable with uniform distribution is given. This decomposition is applied to analyze the behavior of each chaos component of the random variable $\log \zeta $ on the so-called critical line, where ζ is the Riemann zeta function. This analysis gives a better understanding of a famous theorem by Selberg.
Keywords
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