%0 Journal Article %T A Mean Value Theorem for the Diophantine Equation $axy-x-y=n$ %A Jing-Jing Huang %J Mathematics %D 2011 %I arXiv %X In this paper, we prove an asymptotic formula for the average number of solutions to the Diophantine equation $axy-x-y=n$ in which $a$ is fixed and and $n$ varies. %U http://arxiv.org/abs/1108.0095v2