ID | 66002 |
FullText URL | |
Author |
Jinzenji, Masao
Department of Mathematics, Okayama University
Tajima, Yu
Division of Mathematics, Graduate School of Science, Hokkaido University
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Abstract | In this paper, we first propose a cohomological derivation of the celebrated Euler’s Pentagonal Number Theorem. Then we prove an identity that corresponds to a bosonic extension of the theorem. The proof corresponds to a cohomological re-derivation of Euler’s another celebrated identity.
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Keywords | partitions of integers
cohomology
Euler number
Euler’s pentagonal number theorem
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Note | Mathematics Subject Classification. Primary 05A17; Secondary 13D25.
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Published Date | 2024-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume66
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 71
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End Page | 83
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol66/iss1/5
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