Tue, July 17, 2018
4:00 pm - 5:00 pm
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