Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms
Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms
Let $F(z), G(z)$ be Hecke-Maass cusp forms or Eisenstein series and $\psi$ is a smooth compactly supported function on X = SL(2,Z)\H. In this paper, we are interested in the asymptotic behavior of joint moment like $\int_{X}\psi(z) F(z)^{a_1}G(z)^{a_2}d\mu z $ when the spectral parameters go to infinity with nonnegative integers …