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TWO NEW TRUNCATED IDENTITIES AND PARTITION THEOREMS

Part of: Combinatorics Additive number theory; partitions

Published online by Cambridge University Press:  21 March 2025

RENRONG MAO Open the ORCID record for RENRONG MAO [Opens in a new window]
RENRONG MAO*
Affiliation:
Department of Mathematics, Soochow University, SuZhou 215006, PR China
*
e-mail: rrmao@suda.edu.cn
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Abstract

We establish two new truncated identities for theta series. Their partition-theoretic interpretations are also given.

Keywords

partitionspartitions with distinct odd partsEuler’s pentagonal number theoremGauss’ identities

MSC classification

Primary: 11P84: Partition identities; identities of Rogers-Ramanujan type
Secondary: 05A17: Partitions of integers 05A19: Combinatorial identities, bijective combinatorics

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , First View , pp. 1 - 8
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc

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Footnotes

This work is supported by NSFC (National Natural Science Foundation of China) through Grant NSFC 12471315.

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