Will the real Hardy-Ramanujan formula please stand up?
History and Overview
2021-07-06 v2 Combinatorics
Abstract
The Hardy-Ramanujan formula for the number of integer partitions of is one of the most popular results in partition theory. While the unabridged final formula has been celebrated as reflecting the genius of its authors, it has become all too common to attribute either some simplified version of the formula which is not as ingenious, or an alternative more elegant version which was expanded on afterwards by other authors. We attempt to provide a clear and compelling justification for distinguishing between the various formulas and simplifications, with a summarizing list of key take-aways in the final section.
Cite
@article{arxiv.2003.06908,
title = {Will the real Hardy-Ramanujan formula please stand up?},
author = {Stephen DeSalvo},
journal= {arXiv preprint arXiv:2003.06908},
year = {2021}
}
Comments
22 pages. To appear in INTEGERS