GENERALISATION OF A RESULT ON DISTINCT PARTITIONS WITH BOUNDED PART DIFFERENCES

We generalise a result of Chern [‘A curious identity and its applications to partitions with bounded part differences’, New Zealand J. Math.   47 (2017), 23–26] on distinct partitions with bounded difference between largest and smallest parts. The generalisation is proved both analytically and bijec...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 2020-04, Vol.101 (2), p.233-237
Main Authors: LI, RUNQIAO, LIN, BERNARD L. S., WANG, ANDREW Y. Z.
Format: Article
Language:English
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Summary:We generalise a result of Chern [‘A curious identity and its applications to partitions with bounded part differences’, New Zealand J. Math.   47 (2017), 23–26] on distinct partitions with bounded difference between largest and smallest parts. The generalisation is proved both analytically and bijectively.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972719000820