##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability Seminar

## Mike Cranston

#### UC Irvine

## Some properties of the Riemann zeta distribution

##### Abstract:

An alternative to selecting an integer uniformly from $1$ to $N$ and letting $N$ go to infinity is to select an integer according to the Riemann zeta distribution: the probability of selecting $n$ is $1/\zeta(s)n^s$, and letting $s$ go to $1$. We will explain several results that arise naturally due to the multiplicative property of this distribution.

Host: Todd Kemp

### May 30, 2019

### 10:30 AM

### AP&M 6402

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