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math.NT2022★ 2 cited
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…
math.NT2022★ 1 cited
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…