Refinement of some partition identities of Merca and Yee
Pankaj Jyoti Mahanta, Manjil P. Saikia
TL;DR
This paper refines and generalizes recent partition identities introduced by Merca and Yee, involving new partition statistics, and corrects a minor error in their previous work.
Contribution
It introduces refined and generalized partition identities with new statistics and corrects a previous mistake by Merca and Yee.
Findings
Refined partition identities involving new statistics
Generalized results extending Merca and Yee's work
Correction of a small mistake in prior results
Abstract
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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