Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture

Mika Mattila, Pentti Haukkanen, Jori Mäntysalo

Let $S=\{x_1,x_2,\dots ,x_n\}$ be a finite set of distinct positive integers. Throughout this article we assume that the set $S$ is GCD closed. The LCM matrix $[S]$ of the set $S$…