Congruences of Restricted Partition Functions

Authors

Matthew Culek
Amanda Knecht

Document Type

Article

Publication Date

6-2002

First Advisor

John Rickert

Abstract

In this paper we study restricted partition functions of the form p_k(q²m+b), for certain primes q, with k = 3, 5, 7. For each k we analyze which primes q satisfy p_k(q²m+b) = 0 mod k for all natural numbers m. We then prove our results by applying a common method of proof to each case.

Comments

MSTR 02-04

Recommended Citation

Culek, Matthew and Knecht, Amanda, "Congruences of Restricted Partition Functions" (2002). Mathematical Sciences Technical Reports (MSTR). 62.
https://scholar.rose-hulman.edu/math_mstr/62