Solution of the minimum modulus problem for covering systems

Pages 361-382 from Volume 181 (2015), Issue 1 by Bob Hough

Abstract

We answer a question of Erdős by showing that the least modulus of a distinct covering system is at most $ 10^{16}$.

Keywords
, ,
Mathematical Subject Classification
Primary: , , ,
DOI
https://doi.org/10.4007/annals.2015.181.1.6
MR
3272928
zbMATH
06383666
Milestones
Received: 22 December 2013
Accepted: 19 August 2014
Published online: 1 January 2015

Authors

Bob Hough

Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom