On $p$-adic denseness of quotients of values of integral forms

Deepa Antony, Rupam Barman, Stevan Gajović +1

Given $A\subseteq \mathbb{Z}$, the ratio set or the quotient set of $A$ is defined by $R(A):=\{a/b:a,b\in A,b\ne 0\}$. It is an open problem to study the denseness of $R(A)$ in the $p$…