A NEW REFINEMENT OF FINE’S PARTITION THEOREM-Reference-Cited by-同舟云学术

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A NEW REFINEMENT OF FINE’S PARTITION THEOREM

Published:2021-03-29 Issue:3 Volume:104 Page:353-361
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

KANG JIAYU^ORCID,LI RUNQIAO^ORCID,WANG ANDREW Y. Z.^ORCID

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. [6] Kang, J. Y. , Li, R. Q. and Wang, A. Y. Z. , ‘Partition identities related to the minimal excludant’, Preprint.

2. Some New Results on Partitions

3. Basic Hypergeometric Series and Applications

4. Partitions and the Minimal Excludant

5. Partition congruences by involutions

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