On higher power moments of Dirichlet coefficients of symmetric power L-functions on certain sequence of integral binary quadratic forms

G. D. Hua

In this paper, we consider the average behaviour of higher power moments of normalized Dirichlet coefficients of symmetric power L-functions attached to primitive holomorphic cuspidal Hecke eigenforms, which are supported at certain binary quadratic forms. Furthermore, we also establish the asymptotics of the underlying summatory functions. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 19(1) (2026), pp. 65-90