Asymptotics for Fourier coefficients of Maass forms over arithmetic progressions
Automorphic forms are important topics in modern number theory.Fourier coefficients of automorphic forms imply profound properties,which have many applica-tions.Let f be a primitive Maass cusp form and Af(n)be its nth Fourier coefficient at the cusp infinity.Applying classical analytic methods and properties of primitive automor-phic L-functions,this paper investigates the distribution of Fourier coefficients of Maass cusp forms over arithmetic progressions for the full modular group,and establishes the corresponding asymptotic formula.
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维普
