Higher decorrelation conjecture for Hecke eigenforms
Let H={x+iy:x∈R, y>0}\mathbb{H}=\{x+iy:x\in\mathbb{R},\ y>0\}H={x+iy:x∈R, y>0} be the upper half-plane, let Γ=SL2(Z)\Gamma=\operatorname{SL}_2(\mathbb{Z})Γ=SL2(Z), and let HkH_kHk be a Hecke basis of holomorphic cusp forms on…