On Multiplicative Sidon Sets

David Wakeham, David R. Wood

Fix integers $b>a\ge 1$ with $g:=\gcd (a,b)$. A set $S\subseteq \mathbb{N}$ is \emph{$\{a,b\}$-multiplicative} if $ax\ne by$ for all $x,y\in S$. For all $n$, we determine an $\{a,b\…