108 citations · 552 across the 31 of their papers we have counts for
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math.NT2008★ 3 cited
The variance of arithmetic measures associated to closed geodesics on the modular surface
Wenzhi Luo, Zeev Rudnick, Peter Sarnak
We determine the variance for the fluctuations of the arithmetic measures obtained by collecting all closed geodesics on the modular surface with the same discriminant and ordering…
math.NT2008★ 2 cited
Strong Spectral Gaps for Compact Quotients of Products of $\PSL(2,\bbR)$
Dubi Kelmer, Peter Sarnak
The existence of a strong spectral gap for quotients $Γ\bs G$ of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are unifo…