报告时间：2026年7月2日（周四）下午 16:00-17:00
报告地点：苏州大学天赐庄校区精正楼306
报告人：Jasson Vindas 教授，根特大学
报告摘要：
Let π(x) and N(x) denote the prime and integer counting functions of a Beurling generalized number system. In 1961 P. Malliavin discovered that the two asymptotic relations π(x) = Li(x) + O(x exp(−c log^α x)), (Pα) and N(x) = ρx + O(x exp(−c′ log^β x)) (ρ > 0), (Nβ) for some c > 0 and c′ > 0, are closely related to each other in the sense that if (Nβ) holds for a given 0 < β ≤ 1, then (Pα) is satisfied for some α, and vice versa the relation (Pα) for a given 0 < α ≤ 1 ensures that (Nβ) holds for a certain β. A natural question is then what the optimal remainder terms of Malliavin type are. Such a question was essentially raised by P. Bateman and H. Diamond in 1969. In this talk we discuss what is known so far about the problem.
报告人简介：
Jasson Vindas obtained his PhD from Louisiana State University, USA. He works as mathematics professor at Ghent University, Belgium since 2012, where he is the head of the research group Functional Analysis and Number Theory. He works in diverse topics in mathematical analysis and analytic number theory. In the area of analytic number theory he focuses in the study of generalized prime number systems, and more recently in zero-density estimates for the Riemann zeta functions and other Dirichlet series.
邀请人：董自康