Year: 2017
Type: preprint
Abstract: In 2009, Corteel, Savelief and Vuletić 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 $k$-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 $4$ and $8$ using other techniques.
Source: arXiv (Cornell University)
Author: Al-Saedi, Ali H.
Institutions: Oregon State University, Mustansiriyah University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Oregon State University
OpenAlex ID: W2950437199