A Thorough and Accessible Proof of the Erdo˝s-Kac Theorem Following Granville and Soundararajan

<p>The Erd\H{o}-Kac Theorem states that, as $n$ tends to infinity, the distribution of ω(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. </p>

Name thesis:degree_name

Master of Arts (MA)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher

Eastern Kentucky University

Year

2015

Author dc:creator

• Scheithauer, Thomas John

• Distribution
• Divisor
• Erdos
• Kac
• Normal
• Prime
• Mathematics

Statement dc:rights

• Copyright 2015 Thomas John Scheithauer

Repository record dc:identifier

https://encompass.eku.edu/etd/422

OAI identifier oai:identifier

oai:encompass.eku.edu:etd-1420