学术报告

Uniformity in Landau's Method and Applications

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题目:Uniformity in Landau's Method and Applications
报告人:谷口隆 (神户大学)
地点:宁静楼104室
时间:2018年8月27日 10:00-11:00
摘要:Suppose we have a zeta function (Dirichlet series) which satisfies a standard functional equation. A classical method of Landau gives an estimate of the partial sum of its coefficients with a power saving error term. In this talk, I will explain a uniform version of Landau's theorem; the implied constant in the error term will depend only on the `shape' of the functional equation. I also would like to discuss several applications of this result. This is a joint work with David Lowry-Duda and Frank Thorne. 

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