Abstract
We prove that every distinct covering system has a modulus divisible by either or .
Citation
Robert D. Hough. Pace P. Nielsen. "Covering systems with restricted divisibility." Duke Math. J. 168 (17) 3261 - 3295, 15 November 2019. https://doi.org/10.1215/00127094-2019-0058
Information
Received: 13 March 2017; Revised: 10 April 2019; Published: 15 November 2019
First available in Project Euclid: 30 October 2019
zbMATH: 07154926
MathSciNet: MR4030365
Digital Object Identifier: 10.1215/00127094-2019-0058
Subjects:
Primary:
11A07
Secondary:
11B25
,
11K99
Keywords:
covering system
,
Lovasz local lemma
,
odd covering problem
,
Shearer’s theorem
Rights: Copyright © 2019 Duke University Press
