An almost all result on $q_1{q}_2\equiv c(\mathrm{mod}q)$

Tsz Ho Chan

In this paper we consider the congruence equation $q_1{q}_2\equiv c(\mathrm{mod}q)$ with $a<q_1\le a+q^{1/2+\epsilon }$ and $b<q_2\le b+q^{1/2+\epsilon }$ and show that it has solution for al…