Date of Award
January 2015
Degree Type
Open Access Thesis
Document Type
Master Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics and Statistics
First Advisor
Donald Jason Gibson
Department Affiliation
Mathematics and Statistics
Second Advisor
Lisa Whitis Kay
Department Affiliation
Mathematics and Statistics
Third Advisor
Rachel Bishop-Ross
Department Affiliation
Mathematics and Statistics
Abstract
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.
Copyright
Copyright 2015 Thomas John Scheithauer
Recommended Citation
Scheithauer, Thomas John, "A Thorough and Accessible Proof of the Erdo˝s-Kac Theorem Following Granville and Soundararajan" (2015). Online Theses and Dissertations. 422.
https://encompass.eku.edu/etd/422
