108 citations · 552 across the 31 of their papers we have counts for
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math.NT2009★ 10 cited
Generalization of Selberg's 3/16 Theorem and Affine Sieve
Jean Bourgain, Alex Gamburd, Peter Sarnak
A celebrated theorem of Selberg states that for congruence subgroups of SL(2,Z) there are no exceptional eigenvalues below 3/16. We prove a generalization of Selberg's theorem for…
math.NT2009★ 2 cited
Prime and almost prime integral points on principal homogeneous spaces
Amos Nevo, Peter Sarnak
We develop the affine sieve in the context of orbits of congruence subgroups of semi-simple groups acting linearly on affine space. In particular we give effective bounds for the s…