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A NEW REFINEMENT OF FINE’S PARTITION THEOREM
Published online by Cambridge University Press: 29 March 2021
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 104 , Issue 3 , December 2021 , pp. 353 - 361
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
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