English

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 kk-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 44 and 88 using other techniques.

Keywords

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

R2 v1 2026-06-22T20:16:07.478Z