An asymptotic expansion for a Lambert series associated to the symmetric square L-function

Hafner and Stopple proved a conjecture of Zagier that the inverse Mellin transform symmetric square [Formula: see text]-function associated to Ramanujan tau function has an asymptotic expansion in terms nontrivial zeros Riemann zeta text]. Later, Chakraborty et al. extended this phenomenon for any Hecke eigenform over full modular group. In paper, we study Lambert series text] where is text]th Fourier coefficient weight