Weak subconvexity for central values of $L$-functions
Annals of mathematics, Tome 172 (2010) no. 2, pp. 1469-1498.

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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
DOI : 10.4007/annals.2010.172.1469

Kannan Soundararajan 1

1 Stanford University<br/>Department of Mathematics<br/>450 Serra Mall, Building 380<br/>Stanford CA 94305-2125<br/>United States
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Kannan Soundararajan. Weak subconvexity for central values of $L$-functions. Annals of mathematics, Tome 172 (2010) no. 2, pp. 1469-1498. doi : 10.4007/annals.2010.172.1469. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.1469/

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