Overpartitions with parts separated by parity

Journal article

In this article, we generalize Andrews’ partitions separated by parity to overpartitions in two ways. We investigate the generating functions for 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.

Authors: Bringmann, K; Cossaboom, C; Craig, W

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Cambridge University Press
• Journal: Canadian Mathematical Bulletin
• Pages: 1-11
• Publication date: 2026-01-05
• Acceptance date: 2025-12-18
• DOI: 10.4153/s0008439525101616
• EISSN: 1496-4287
• ISSN: 0008-4395
• Language: English
• Keywords: 33D15; q-hypergeometric series; overpartitions; Partitions; 05A17; parity