Mathematical Journal of Okayama University volume66 issue1
2024-01 発行
Harmonic partitions of positive integers and bosonic extension of Euler’s pentagonal number theorem
Jinzenji, Masao
Department of Mathematics, Okayama University
Tajima, Yu
Division of Mathematics, Graduate School of Science, Hokkaido University
Publication Date
2024-01
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.
Keywords
partitions of integers
cohomology
Euler number
Euler’s pentagonal number theorem
Comments
Mathematics Subject Classification. Primary 05A17; Secondary 13D25.
ISSN
0030-1566
NCID
AA00723502
