Title
Covering systems with odd moduli
Abstract
The concept of a covering system was first introduced by Erdos in 1950. Since their introduction, a lot of the research regarding covering systems has focused on the existence of covering systems with certain restrictions on the moduli. Arguably, the most famous open question regarding covering systems is the odd covering problem. In this paper, we explore a variation of the odd covering problem, allowing a single odd prime to appear as a modulus in the covering more than once, while all other moduli are distinct, odd, and greater than 1. We also consider this variation while further requiring the moduli of the covering system to be square-free. (c) 2022 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.disc.2022.112936
DISCRETE MATHEMATICS
Keywords
DocType
Volume
Covering system, Odd covering
Journal
345
Issue
ISSN
Citations 
8
0012-365X
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Joshua Harrington100.68
Yewen Sun200.34
Wing Hong Tony Wong300.34