$p$-adic quotient sets: Cubic forms

Deepa Antony, Rupam Barman

For $A\subseteq \{1,2,\dots \}$, we consider $R(A)=\{a/b:a,b\in A\}$. It is an open problem to study the denseness of $R(A)$ in the $p$-adic numbers when $A$ is the set of nonz…