October 2020 Inferior Regular Partitions and Glaisher Correspondence
Masanori ANDO
Hokkaido Math. J. 49(3): 391-398 (October 2020). DOI: 10.14492/hokmj/1607936534

Abstract

We define $r$-inferior regular partition which is a restriction of partition. Its generating function equals to that of the number of operations in the Glaisher correspondence. Using this result, we prove Mizukawa-Yamada's identity separately. Moreover we extend this identity to $m$-tuple version.

Citation

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Masanori ANDO. "Inferior Regular Partitions and Glaisher Correspondence." Hokkaido Math. J. 49 (3) 391 - 398, October 2020. https://doi.org/10.14492/hokmj/1607936534

Information

Published: October 2020
First available in Project Euclid: 14 December 2020

Digital Object Identifier: 10.14492/hokmj/1607936534

Subjects:
Primary: 05E10
Secondary: 11P83

Keywords: $r$-inferior regular partition , Glaisher correspondence

Rights: Copyright © 2020 Hokkaido University, Department of Mathematics

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Vol.49 • No. 3 • October 2020
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