The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points

• 成果类型: Article
• 署名作者: Michel, P
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2004.160.185
• 发表日期: 2004
• 页码: 185-236
• 关键词: automorphic l-functions; half-integral weight; l-series; fourier coefficients; arithmetic applications; modular-forms; maass forms; cusp forms; bounds; REPRESENTATIONS

摘要

In this paper we solve the subconvexity problem for Rankin-Selberg L-functions L(f circle times g, s) where f and g are two cuspidal automorphic forms over Q, g being fixed and f having large level and nontrivial nebentypus. We use this subconvexity bound to prove an equidistribution property for incomplete orbits of Heegner points over definite Shimura curves.