Applications of the Kuznetsov formula on GL(3)

• 成果类型: Article
• 署名作者: Blomer, Valentin
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0454-3
• 发表日期: 2013
• 页码: 673-729
• 关键词: kloosterman sums; poincare-series; fourier coefficients; asymptotic formula; cusp forms; EXISTENCE; linnik

摘要

We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl's law, exceptional eigenvalues, a large sieve and L-functions are given.