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math.NT2018
Experiments with the Markoff surface
Matthew de Courcy-Ireland, Seungjae Lee
We confirm, for the primes up to 3000, the conjecture of Bourgain, Gamburd, and Sarnak on strong approximation for the Markoff surface modulo primes. For prime…
math.NT2018
Kesten-McKay law for the Markoff surface mod p
Matthew de Courcy-Ireland, Michael Magee
For each prime , we study the eigenvalues of a 3-regular graph on roughly vertices constructed from the Markoff surface. We show they asymptotically follow the Kesten-McKa…