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Mass equidistribution for Hecke eigenforms

✍ Scribed by Wenzhi Luo; Peter Sarnak

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
204 KB
Volume
56
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

In this work, we study the mass equidistribution for holomorphic Hecke eigenforms and establish, by employing incomplete Poincaré series and the Petersson formula, sharp equidistribution results when the average is performed over intervals much shorter than before. A key feature is the analysis of the off‐diagonal terms that result from this shortening of intervals. © 2003 Wiley Periodicals, Inc.

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