## Number Theory - Neha Prabhu (Queen's University)

### Tuesday, January 29th, 2019

**Time:** 1:00-2:00 p.m. **Place:** Jeffery Hall 422

**Speaker:** Neha Prabhu (Queen's University)

**Title:** A probabilistic approach to analytic number theory.

**Abstract:** In 2005, Allan Gut showed that the distribution of a certain random variable, constructed using a zeta-distributed random variable, is compound Poisson. Exploiting this property, he reproved some well-known facts about the Riemann zeta function, and Selberg’s identity, using probability theory. In this talk, I present these results.