Weak subconvexity for central values of L-functions

• 成果类型: Article
• 署名作者: Soundararajan, Kannan
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2010
• 页码: 1469-1498
• 关键词: principal l-functions; multiplicative functions; equidistribution; THEOREM; series; bounds; s=1

摘要

We describe a general method to obtain weak subconvexity bounds for many classes of L-functions. We give several examples of our bound, and our work has applications to a conjecture of Rudnick and Sarnak for the mass equidistribution of Hecke eigenforms