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

• 成果类型: Article
• 署名作者: Harcos, G; Michel, P
• 署名单位: University of Texas System; University of Texas Austin; Universite de Montpellier; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-005-0468-6
• 发表日期: 2006
• 页码: 581-655
• 关键词: fourier coefficients; bilinear-forms; bounds; sums; REPRESENTATIONS

摘要

We prove a general subconvex bound in the level aspect for Rankin-Selberg L-functions associated with two primitive holomorphic or Maass cusp forms over Q. We use this bound to establish the equidistribution of incomplete Galois orbits of Heegner points on Shimura curves associated with indefinite quaternion algebras over Q.