Weak subconvexity for central values of $L$-functions


We describe a general method to obtain weak subconvexity bounds for many classes of $L$-functions. We give several examples of our bound, and our work has applications to a conjecture of Rudnick and Sarnak for the mass equidistribution of Hecke eigenforms


Kannan Soundararajan

Stanford University
Department of Mathematics
450 Serra Mall, Building 380
Stanford CA 94305-2125
United States