Asymptotic formula for shifted convolution sums involving the coefficients of an L -function

Let f be a normalized Hecke eigenform of even weight k ≥ 2 for SL₂(Z) . In this article, we establish an asymptotic formula for the shifted convolution sum of a general divisor function, where the sum involves the Fourier coefficients of a multi-folded L -function weighted with a kernel function.