Moments of quadratic twists of modular L-functions

• 成果类型: Article
• 署名作者: Li, Xiannan
• 署名单位: Kansas State University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-024-01265-1
• 发表日期: 2024
• 页码: 697-733
• 关键词: DIRICHLET L-FUNCTIONS; 3RD MOMENT

摘要

We prove an asymptotic for the second moment of quadratic twists of a modular L-function. This was previously known conditionally on GRH by the work of Soundararajan and Young