Prime number theorems and holonomies for hyperbolic rational maps

• 成果类型: Article
• 署名作者: Oh, Hee; Winter, Dale
• 署名单位: Yale University; Korea Institute for Advanced Study (KIAS); Institute for Advanced Study - USA
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-016-0693-1
• 发表日期: 2017
• 页码: 401-440
• 关键词: closed geodesics; FLOWS

摘要

For a hyperbolic rational map f of degree at least two on the Riemann sphere, we obtain estimates for the number of primitive periodic orbits of f ordered by their multiplier, and establish equidistribution of the associated holonomies, both with power saving error terms.