Overpartitions with parts separated by parity
Abstract
Abstract In this article, we generalize Andrews’ partitions separated by parity to overpartitions in two ways. We investigate the generating functions for 16 $16$ 16 overpartition families whose parts are separated by parity, and we prove various q -series identities for these functions. These identities include relations to modular forms, q -hypergeometric series, and mock modular forms.
Fields of Study & Subjects
Advanced Algebra and Logic
semigroups and automata theory
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Publisher
- Canadian Mathematical Society
- Volume
- 69
- Issue
- 3
- Pages
- 1043–1053
- Publication date
- 5 January 2026
- Language
- EN