Bounding Lifts of Markoff Triples mod $p$

Elisa Bellah, Siran Chen, Elena Fuchs +1

In 2016, Bourgain, Gamburd, and Sarnak proved that Strong Approximation holds for the Markoff surface in most cases. That is, the modulo $p$ solutions to the equation $X_1^2+X_2^2+…