Probability and Statistics Seminar: The Riemann zeta distribution

Friday, September 18, 2020 at 3:30pm to 4:30pm

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Virtual Event


Michael Cranston, UC Irvine

Abstract:
We examine statistical properties of integers when they are sampled using the Riemann zeta distribution and compare to similar properties when sampled according to "uniform" or harmonic distributions.  For example, as the variable in the Riemann zeta function approaches 1, central limit theorem, large and moderate deviations for the distinct number of prime factors for the sampled integer can be readily derived.

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Event Type

Lecture / Talk / Workshop

Department
Mathematics
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