Quadratic forms connected with Fourier coefficients of Maass cusp forms

摘要

For the normalized Fourier coefficients of Maass cusp forms lambda(n) and the normalized Fourier coefficients of holomorphic cusp forms a(n), we give the bound Sigma m(1)(2)+m(2)(2)+m(3)(2)<= x lambda(m(1)(2) + m(2)(2) + m(3)(2))Lambda(m(1)(2) + m(2)(2) + m(3)) and Sigma m(1)(2)+m(2)(2)+m(3)(2)<= x a(m(1)(2) + m(2)(2) + m(3)(2))Lambda(m(1)(2) + m(2)(2) + m(3)).