Motohashi’s fourth moment identity for non-archimedean test functions and applications
Motohashi’s fourth moment identity for non-archimedean test functions and applications
Motohashi established an explicit identity between the fourth moment of the Riemann zeta function weighted by some test function and a spectral cubic moment of automorphic $L$ -functions. By an entirely different method, we prove a generalization of this formula to a fourth moment of Dirichlet $L$ -functions modulo $q$ …