Relations for partitions with distinct even parts except the largest part which is even
Number Theory
2026-02-18 v1
Abstract
In this paper, we prove some new -series identities connecting -regular partitions and partitions with distinct even parts with largest part being odd. We also define three new partition functions with distinct even parts except the largest part which is even, and prove identities connecting the three partitions with -regular partitions. Moreover, we also offer some congruence for the three newly defined partitions.
Cite
@article{arxiv.2602.15454,
title = {Relations for partitions with distinct even parts except the largest part which is even},
author = {Gaurab Bardhan and Nipen Saikia},
journal= {arXiv preprint arXiv:2602.15454},
year = {2026}
}