| ID | 66002 |
| FullText URL | |
| Author |
Jinzenji, Masao
Department of Mathematics, Okayama University
Tajima, Yu
Division of Mathematics, Graduate School of Science, Hokkaido University
|
| 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
|
| Note | Mathematics Subject Classification. Primary 05A17; Secondary 13D25.
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| Published Date | 2024-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume66
|
| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 71
|
| End Page | 83
|
| 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
|
| Submission Path | mjou/vol66/iss1/5
|
