## Number Theory Seminar

### Thursday, October 31st, 2019

**Time:** 4:30-5:30 p.m. **Place:** Jeffery Hall 422

**Speaker:** Arpita Kar (Queen's University)

**Title:** On the distribution of certain sums of Random multiplicative functions.

**Abstract:** In this talk, I will discuss a result of Adam Harper regarding sums of Rademacher multiplicative functions $f(n)$, over those $n \leq x$ with $k$ distinct prime factors where $k$ is a function of $x$. In particular, we will discuss the Martingale central limit theorem due to Mcleish, and see how it establishes Harper's result.