The shifted convolution L-function for Maass forms

Dorian Goldfeld, Gerhardt Hinkle, Jeffrey Hoffstein

Let ${\Phi }_1,{\Phi }_2$ be Maass forms for $\text{SL}(2,\mathbb{Z})$ with Fourier coefficients $C_1(n),C_2(n)$. For a positive integer $h$ the meromorphic continuation and growth in $s\in\mat…