The order at 2 of the odd-partition function

Authors

Chris Mehelich

Document Type

Article

Publication Date

6-5-2002

First Advisor

John Rickert

Abstract

Abstract. We evaluate the odd-partition function p₂(n) modulo 4 by elementary methods and analyze the asymptotic distribution of p₂(n) modulo 4. We use the theory of modular forms to obtain necessary and sufficient conditions for the order at 2 of p₂(n) to equal any given value between 0 and 4 inclusive.

Comments

MSTR 02-05

Recommended Citation

Mehelich, Chris, "The order at 2 of the odd-partition function" (2002). Mathematical Sciences Technical Reports (MSTR). 88.
https://scholar.rose-hulman.edu/math_mstr/88