@**article**{RISC6661,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}

}