Date of Award
Director of Thesis
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).
Torello, Nicholas, "Congruence Relations Mod 2 For (2 x 4^t + 1)-Colored Partitions" (2019). Senior Theses. 298.