We report on some recent work with Peter Sarnak. For integers $k$,
we consider the affine cubic surfaces $V_k$ given by $M(x) = x_1^2
+ x_2 + x_3^2 − x_1 x_2 x_3 = k$. Then for almost all $k$, the
Hasse Principle holds, namely that $V_k(Z)$ is non...
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