Friday, September 18, 2020 at 3:30pm to 4:30pm
Michael Cranston, UC Irvine
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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