Mass equidistribution for Hecke eigenforms

Pages 1517-1528 from Volume 172 (2010), Issue 2 by Roman Holowinsky, Kannan Soundararajan

Abstract

We prove a conjecture of Rudnick and Sarnak on the mass equidistribution of Hecke eigenforms. This builds upon independent work of the authors.

Keywords
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Mathematical Subject Classification

Primary 2000:

DOI
https://doi.org/http://doi.org/10.4007/annals.2010.172.1517
MR
2680499
zbMATH
1211.11050
Milestones
Received: 9 September 2008
Accepted: 18 May 2009
Published online: 17 August 2010

Authors

Roman Holowinsky

Department of Mathematics
The Ohio State University
100 Math Tower
231 West 18th Avenue
Columbus, OH 43210-1174
United States

Kannan Soundararajan

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