Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus
Number Theory
2026-03-30 v1
Abstract
We prove that for each fixed , there are only finitely many disjoint covering systems with minimum modulus at least in which precisely one modulus is repeated, namely the largest modulus, and it occurs exactly times.
Keywords
Cite
@article{arxiv.2603.26043,
title = {Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus},
author = {Yu Hashimoto},
journal= {arXiv preprint arXiv:2603.26043},
year = {2026}
}