A Family of Congruences for Rogers--Ramanujan Subpartitions
Number Theory
2020-04-07 v1
Abstract
In 2015 Choi, Kim, and Lovejoy studied a weighted partition function, , which counted subpartitions with a structure related to the Rogers--Ramanujan identities. They conjectured the existence of an infinite class of congruences for , modulo powers of 5. We give an explicit form of this conjecture, and prove it for all powers of 5.
Keywords
Cite
@article{arxiv.2004.02185,
title = {A Family of Congruences for Rogers--Ramanujan Subpartitions},
author = {Nicolas Allen Smoot},
journal= {arXiv preprint arXiv:2004.02185},
year = {2020}
}