Refinement of some partition identities of Merca and Yee

INTERNATIONAL JOURNAL OF NUMBER THEORY(2022)

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摘要
Recently, Merca and Yee proved some partition identities involving two new partition statistics. We refine these statistics and generalize the results of Merca and Yee. We also correct a small mistake in a result of Merca and Yee.
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关键词
Integer partitions, generating functions, partition identities, truncated partition theorems
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