Sieving for mass equidistribution

• 成果类型: Article
• 署名作者: Holowinsky, Roman
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2010
• 页码: 1499-1516
• 关键词: hyperbolic surfaces; gl(2); sums; zero

摘要

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 [Ho109], with various simplifications in our analysis due to the knowledge of the Ramanujan-Petersson conjecture in this holomorphic case.