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Quadratic forms connected with Fourier coefficients of Maass cusp forms
Authors:Liqun HU
Institution:1. Department of Mathematics, Shandong University, Jinan 250100, China2. Department of Mathematics, Nanchang University, Nanchang 330031, China
Abstract:For the normalized Fourier coefficients of Maass cusp forms λ(n) and the normalized Fourier coefficients of holomorphic cusp forms a(n), we give the bound of m12+m22+m32xλ(m12+m22+m32)Λ(m12+m22+m32) and m12+m22+m32xa(m12+m22+m32)Λ(m12+m22+m32).
Keywords:Circle method  Fourier coefficients of Maass cusp forms  quadratic form  exponential sum  
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