An arithmetic model for the total disorder process

Details An arithmetic model for the total disorder process An arithmetic model for the total disorder process

2006-12-07

arxiv.org/abs/math/0612195v1

Mathematics

Probability

Scientific paper

We prove a multidimensional extension of Selberg's central limit theorem for
the logarithm of the Riemann zeta function on the critical line. The limit is a
totally disordered process, whose coordinates are all independent and Gaussian.

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