Estimates On Sums Of Absolute Values Of Fourier Coefficients Of Cusp Forms

Suppose that are three normalized Hecke eigencuspforms of even weights ki,k2,k3 respectively,which additionally satisfy f(?)g(?)h.Denote normal-ized Fourier coefficients by?f(n)=af(n)/nk1-1/2,?g(n)=ag(n)/nk2-1/2,?h(n)=ah(n)/nk3-1/2.In this article,we applied an already proved pair Sato-Tate con-jecture to study the sums of absolute values of normalized Fourier coefficients,such as Our results improved previous works.