More inequalities for the overpartition function
Finding truncated identities is an efficient way to derive inequalities for partition functions. This method was initiated by Andrews and Merca in 2012 and has flourished since then. In this paper, in view of a transformation formula due to Bailey, and combining two new Bailey pairs and an identity given by Wang and Yee, we find some new truncated identities which imply more inequalities for the overpartition function.
Authors
- Nancy S. S. Gu (ORCID: https://orcid.org/0000-0002-7519-5733)
- Qian Wang
- Su-Ping Cui
Institutions
- Qufu Normal University (CN)
- Nankai University (CN)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2025-03-20
- DOI
- https://doi.org/10.1142/s1793042125500745
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00