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

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.

arXiv comment11pages, Latex, minor errors are corrected, to appear in Mathematical Journal of Okayama University