Date of Award

Spring 2019

Degree Type

Thesis

Department

Mathematics

Director of Thesis

Matthew Boylan

Second Reader

Alexander Duncan

Abstract

Let p_r(n) denote the difference between the number of r-colored partitions of n into an even number of distinct parts and into an odd number of distinct parts. Inspired by proofs involving modular forms of the Hirschhorn-Sellers Conjecture, we prove a similar congruence for p_r(n). Using the Jacobi Triple Product identity, we discover a much stricter congruence for p_3(n).

First Page

1

Last Page

9

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