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.},
number = {22-14},
year = {2022},
month = {October},
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},
type = {Research Article},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}