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math.NT2014
On the Hecke Eigenvalues of Maass Forms
Wenzhi Luo, Fan Zhou
Let denote a primitive Hecke-Maass cusp form for with the Laplacian eigenvalue . In this work we show that there exists a prime such that …
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.NT1999★ 6 cited
Low lying zeros of families of L-functions
Henryk Iwaniec, Wenzhi Luo, Peter Sarnak
In Iwaniec-Sarnak [IS] the percentages of nonvanishing of central values of families of GL_2 automorphic L-functions was investigated. In this paper we examine the distribution of…