author = {G.E. Andrews and P. Paule},
title = {{MacMahon's Partition Analysis XIV: Partitions with n copies of n}},
language = {english},
abstract = {We apply the methods of partition analysis to partitions with~$n$ copies of~$n$. This allows us to obtain multivariable generating functions related to classical Rogers-Ramanujan type identities. Also, partitions with $n$ copies of $n$ are extended to partition diamonds yielding numerous new results including a natural connection to overpartitions and a variety of partition congruences.},
journal = {To appear in: Journal of Combinatorial Theory, Series A},
number = {22-14},
pages = {--},
isbn_issn = {???},
year = {2023},
refereed = {yes},
keywords = {partitions, overpartitions, partitions with $n$ copies of $n$, partition analysis, $q$-series, modular forms and partition congruences, Radu's Ramanujan-Kolberg algorithm},
sponsor = {FWF},
length = {30},
url = {https://doi.org/10.35011/risc.22-14},
type = {Research Article}