An upper bound for the minimum modulus in a covering system with squarefree moduli
Number Theory
2022-11-17 v1
Abstract
Based on work of P. Balister, B. Bollob\'as, R. Morris, J. Sahasrabudhe and M. Tiba, we show that if a covering system has distinct squarefree moduli, then the minimum modulus is at most 118. We also show that in general the smallest modulus in a covering system with distinct moduli (provided it is required for the covering) is bounded by an absolute constant.
Cite
@article{arxiv.2211.08548,
title = {An upper bound for the minimum modulus in a covering system with squarefree moduli},
author = {Maria Cummings and Michael Filaseta and Ognian Trifonov},
journal= {arXiv preprint arXiv:2211.08548},
year = {2022}
}