Mass equidistribution for Hecke eigenforms
Mass equidistribution for Hecke eigenforms
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DOI：
10.1002/cpa.10078
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发表时间：
2003-07
影响因子：
3
通讯作者：
Wenzhi Luo;P. Sarnak
中科院分区：
文献类型：
--
作者：
Wenzhi Luo;P. Sarnak
本文研究了全纯Hecke本征形的质量等分布，并利用不完全Poincaré级数和Petersson公式，建立了当平均时间间隔比以前短得多时，质量等分布的精确结果。一个关键特征是分析由间隔缩短导致的非对角项。© 2003 Wiley Periodicals，Inc.
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.