Tuesday, July 17, 2018 - 4:00pm to 5:00pm

Scott Lab N054

**Title**: What is the Erdős–Kac theorem?

**Speaker**: Alex Beckwith (Ohio State University)

**Abstract**: Let $\omega(n)$ denote the number of distinct prime divisors of $n \in \mathbb{N}$. In 1939, Paul Erdos and Mark Kac showed that the value distribution of $\omega(n)$ is normally distributed in a certain sense. This result, known as the Erdos-Kac theorem, was one of the first in what is now called probabilistic number theory. In this talk we will discuss the history of this and related results and provide a sketch of its proof.

**Seminar URL**: https://math.osu.edu/whatis