The Theory of Partitions

Author

Sarah Ober, College of the Holy Cross

Date of Creation

5-18-2015

Document Type

Departmental Honors Thesis - Restricted Access

Department

Mathematics

First Advisor

Cristina Ballantine

Abstract

The partition of a positive integer n is a way to write n as a sum of positive integers where the order doesn't matter. The partition function p(n) counts the number of different partitions of n. In this thesis, I will present several important identities involving the partition function. including Euler's identity and the Rogers-Ramanujan identities, as well as some of the history of the theory of partitions.

Recommended Citation

Ober, Sarah, "The Theory of Partitions" (2015). Math and Computer Science Honors Theses. 47.
https://crossworks.holycross.edu/math_honor/47