Congruences for Restricted Plane Overpartitions Modulo 4 and 8
Number Theory
2017-06-29 v2
Abstract
In 2009, Corteel, Savelief and Vuleti\'c generalized the concept of overpartitions to a new object called plane overpartitions. In recent work, the author considered a restricted form of plane overpartitions called -rowed plane overpartions and proved a method to obtain congruences for these and other types of combinatorial generating functions. In this paper, we prove several restricted and unrestricted plane overpartition congruences modulo and using other techniques.
Cite
@article{arxiv.1706.03617,
title = {Congruences for Restricted Plane Overpartitions Modulo 4 and 8},
author = {Ali H. Al-Saedi},
journal= {arXiv preprint arXiv:1706.03617},
year = {2017}
}
Comments
23 pages