Abstract
We give bounds on the number of solutions to the Diophantine equation $(X+1/x)(Y+1/y) = n$ as $n$}tends to infinity. These bounds are related to the number of solutions to congruences of the form $ax+by \equiv 1$ modulo $xy$.
Citation
J. Brzeziński. W. Holsztyński. P. Kurlberg. "On the Congruence $\boldsymbol{ax+by \equiv 1}$ Modulo $\boldsymbol{xy}$." Experiment. Math. 14 (4) 391 - 401, 2005.
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