Legendre theorems for certain overpartitions and overpartition pairs
Number Theory
2024-12-17 v1
Abstract
Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.
Cite
@article{arxiv.2412.11508,
title = {Legendre theorems for certain overpartitions and overpartition pairs},
author = {George E. Andrews and Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:2412.11508},
year = {2024}
}
Comments
16 pages. Accepted for publication