## Online Theses and Dissertations

January 2015

#### Degree Type

Open Access Thesis

#### Degree Name

Master of Arts (MA)

#### Department

Mathematics and Statistics

Donald Jason Gibson

Lisa Whitis Kay

The Erd\H{o}-Kac Theorem states that, as $n$ tends to infinity, the distribution of $\omega(n)$, the number of distinct prime divisors of $n$, becomes normally distributed with mean and variance $\log\log n$. Granville and Soundararajan gave a proof of the Erd\H{o}s-Kac Theorem that avoided many of the specialized techniques present in several earlier approaches. This thesis includes considerable detail, prerequisite theorems, and instructive background in order to provide a self-contained exposition of the proof of Granville and Soundararajan.