Asymptotic Behavior of Odd-Even Partitions

  • Min-Joo Jang
Keywords: Odd-Even partitions, Overpartitions, Asymptotics, Wright's circle method

Abstract

Andrews studied a function which appears in Ramanujan's identities. In Ramanujan's "Lost" Notebook, there are several formulas involving this function, but they are not as simple as the identities with other similar shape of functions. Nonetheless, Andrews found out that this function possesses combinatorial information, odd-even partition. In this paper, we provide the asymptotic formula for this combinatorial object. We also study its companion odd-even overpartitions.

Published
2017-09-22
Article Number
P3.62