A NEW REFINEMENT OF FINE'S PARTITION THEOREM.
- Resource Type
- Article
- Authors
- KANG, JIAYU; LI, RUNQIAO; WANG, ANDREW Y. Z.
- Source
- Bulletin of the Australian Mathematical Society. Dec2021, Vol. 104 Issue 3, p353-361. 9p.
- Subject
- *MAXIMA & minima
- Language
- ISSN
- 0004-9727
We find a new refinement of Fine's partition theorem on partitions into distinct parts with the minimum part odd. As a consequence, we obtain two companion partition identities. Both analytic and combinatorial proofs are provided. [ABSTRACT FROM AUTHOR]