author = {N. Smoot},
title = {{A Congruence Family For 2-Elongated Plane Partitions: An Application of the Localization Method}},
language = {english},
abstract = {George Andrews and Peter Paule have recently conjectured an infinite family of congruences modulo powers of 3 for the 2-elongated plane partition function $d_2(n)$. This congruence family appears difficult to prove by classical methods. We prove a refined form of this conjecture by expressing the associated generating functions as elements of a ring of modular functions isomorphic to a localization of $mathbb{Z}[X]$.},
journal = {Journal of Number Theory},
volume = {242},
pages = {112--153},
isbn_issn = {ISSN 1096-1658},
year = {2023},
month = {January},
refereed = {yes},
length = {42},
url = {https://doi.org/10.1016/j.jnt.2022.07.014}