Partitions with unique largest part and their generating functions
Combinatorics
2025-06-16 v1 Number Theory
Abstract
The paper introduce a new type of partitions where the largest part appears exactly once, and the remaining parts constitute a partition of that largest part. We derive the generating function associated with these partitions and subsequently explore several variations, providing the corresponding generating functions for each variant.
Keywords
Cite
@article{arxiv.2506.11447,
title = {Partitions with unique largest part and their generating functions},
author = {H Kaur and M Rana},
journal= {arXiv preprint arXiv:2506.11447},
year = {2025}
}
Comments
7 pages