On a Problem of Erdős, Herzog and Schönheim

Yong-Gao Chen, Cui-Ying Hu

Let $p_1,p_2,...,p_n$ be distinct primes. In 1970, Erd\H os, Herzog and Schönheim proved that if $\mathcal{D}$ is a set of divisors of $N=p_1^{{\alpha }_1}...p_n^{{\alpha }_n}$, $α_1\ge α_2\ge...\ge…