Abstract

Let f be a normalized Hecke–Maass cusp form of weight zero for the group \(SL_2({\mathbb {Z}})\). This article presents several quantitative results about the distribution of Hecke eigenvalues of f. Applications to the \(\Omega _{\pm }\)-results for the Hecke eigenvalues of f and its symmetric square sym\(^2(f)\) are also given.

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