Inferior Regular Partitions and Glaisher Correspondence
Masanori Ando
TL;DR
This paper proves a mathematical identity related to regular partitions and Glaisher correspondence, extending previous results to more complex versions involving multiple tuples.
Contribution
It introduces and proves the Mizukawa-Yamada $X-Y=C$ identity and its $m$-tuple generalization, advancing the understanding of partition theory.
Findings
Proof of Mizukawa-Yamada $X-Y=C$ identity
Extension to $m$-tuple versions of the identity
Enhanced understanding of regular partitions and Glaisher correspondence
Abstract
In this paper, we proof Mizukawa-Yamada's and -tuple version of this.
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