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An arithmetic model for the total disorder process

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Publication details

JournalProbability Theory and Related Fields
DatePublished - May 2008
Issue number1-2
Volume141
Number of pages13
Pages (from-to)47-59
Original languageEnglish

Abstract

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.

    Research areas

  • Number Theory, Pure Mathematics, Total disorder process , Convergence in distribution , Central limit theorem , Riemann zeta function

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