Weak subconvexity for central values of $L$-functions

Kannan Soundararajan

doi:http://doi.org/10.4007/annals.2010.172.1469

Abstract

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

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Weak subconvexity for central values of $L$-functions

Abstract

Authors