108 citations · 552 across the 31 of their papers we have counts for
27 papers · 1 filter
A universal lower bound for certain quadratic integrals of automorphic L-functions
Laurent Clozel, Peter Sarnak
We obtain uniform lower bounds, true for all automorphic L-functions L(s) associated to cuspidal representations of GL(m,A) where A denotes the adeles of the rationals Q, of the in…
Convergence to the Plancherel measure of Hecke Eigenvalues
Peter Sarnak, Nina Zubrilina
We give improved uniform estimates for the rate of convergence to Plancherel measure of Hecke eigenvalues of holomorphic forms of weight 2 and level N. These are applied to determi…
Commutators in and Markoff surfaces I
Amit Ghosh, Chen Meiri, Peter Sarnak
We show that the commutator equation over satisfies a profinite local to global principle, while it can fail with infinitely many exceptions for $ \math…
Integral points on Markoff type cubic surfaces
Amit Ghosh, Peter Sarnak
For integers , we consider the affine cubic surface given by . We show that for almost all the Hasse Princi…
Super-Golden-Gates for PU(2)
Ori Parzanchevski, Peter Sarnak
To each of the symmetry groups of the Platonic solids we adjoin a carefully designed involution yielding topological generators of PU(2) which have optimal covering properties as w…
Spatial statistics for lattice points on the sphere I: Individual results
Jean Bourgain, Zeév Rudnick, Peter Sarnak
We study the spatial distribution of point sets on the sphere obtained from the representation of a large integer as a sum of three integer squares. We examine several statistics o…