Weyl bound for trilinear periods via conformal bootstrap

Anshul Adve, James Bonifacio, Petr Kravchuk +4

Let $f_1,f_2$ be holomorphic modular forms of the same weight for a cocompact lattice $\Gamma <{\mathrm{PSL}}_2(\mathbf{R})$. We estimate the rate of decay of the coefficients in the expa…