Sieving for mass equidistribution

Pages 1499-1516 from Volume 172 (2010), Issue 2 by Roman Holowinsky

Abstract

We approach the holomorphic analogue to the Quantum Unique Ergodicity conjecture through an application of the Large Sieve. We deal with shifted convolution sums as in [Hol09], with various simplifications in our analysis due to the knowledge of the Ramanujan-Petersson conjecture in this holomorphic case.

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Keywords
, , , ,
Mathematical Subject Classification
Primary: , ,
DOI
http://doi.org/10.4007/annals.2010.172.1499
MR
2680498
zbMATH
1214.11054
Milestones
Received: 9 September 2008
Accepted: 6 June 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