Magic rectangles, signed magic arrays and integer $\lambda$-fold relative Heffter arrays

Fiorenza Morini, Marco Antonio Pellegrini

Let $m,n,s,k$ be integers such that $4\le s\le n$, $4\le k\le m$ and $ms=nk$. Let $\lambda$ be a divisor of $2ms$ and let $t$ be a divisor of $\frac{2ms}{\lambda }$. In this paper we constru…