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GENERALISATION OF A RESULT ON DISTINCT PARTITIONS WITH BOUNDED PART DIFFERENCES

Part of: Additive number theory; partitions Combinatorics

Published online by Cambridge University Press:  24 July 2019

RUNQIAO LI Open the ORCID record for RUNQIAO LI [Opens in a new window] ,
BERNARD L. S. LIN Open the ORCID record for BERNARD L. S. LIN [Opens in a new window]  and
ANDREW Y. Z. WANG Open the ORCID record for ANDREW Y. Z. WANG [Opens in a new window]
RUNQIAO LI
Affiliation:
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China email [email protected]
BERNARD L. S. LIN
Affiliation:
School of Science, Jimei University, Xiamen 361021, PR China email [email protected]
ANDREW Y. Z. WANG*
Affiliation:
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China email [email protected]
*
✉[email protected]
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Abstract

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.

Keywords

partitiondistinct partitionbounded part difference

MSC classification

Primary: 11P84: Partition identities; identities of Rogers-Ramanujan type
Secondary: 05A17: Partitions of integers
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 2 , April 2020 , pp. 233 - 237
Copyright
© 2019 Australian Mathematical Publishing Association Inc.

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Footnotes

This work was supported by the National Natural Science Foundation of China (Nos. 11401080 and 11871246).

References

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