Legendre theorems for a class of partitions with initial repetitions
Combinatorics
2024-06-18 v4
Abstract
Partitions with initial repetitions were introduced by George Andrews. We consider a subclass of these partitions and find Legendre theorems associated with their respective partition functions. The results in turn provide partition theoretic interpretations of some Rogers-Ramanujan identities due to Lucy J. Slater.
Keywords
Cite
@article{arxiv.2212.10756,
title = {Legendre theorems for a class of partitions with initial repetitions},
author = {Darlison Nyirenda and Beaullah Mugwangwavari},
journal= {arXiv preprint arXiv:2212.10756},
year = {2024}
}