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arXiv · 2603.26043

Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus

Yu Hashimoto
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Abstract

We prove that for each fixed $m \ge 2$, there are only finitely many disjoint covering systems with minimum modulus at least $3$ in which precisely one modulus is repeated, namely the largest modulus, and it occurs exactly $m$ times.

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Yu Hashimoto. 2026-03-27. Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus. https://arxiv.org/abs/2603.26043

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