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arXiv · 1911.08702

Harmonic Partitions of Positive Integers and Bosonic Extension of Euler's Pentagonal Number Theorem

Masao Jinzenji·Yu Tajima
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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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BibTeXRIS

Masao Jinzenji, Yu Tajima. 2019-11-20. Harmonic Partitions of Positive Integers and Bosonic Extension of Euler's Pentagonal Number Theorem. https://doi.org/10.18926/mjou%2F66002

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