报告时间:2026年5月7日(周四)下午 16:00-17:00

报告地点:黄色仓库 天赐庄校区精正楼306

报告人:林永晓 教授,山东大学


报告摘要:

While the Riemann Hypothesis remains unproven, a fundamental problem is to understand statistical behavior of the zeros of the Riemann zeta function inside the critical strip. Selberg introduced a mollifier into Hardy's method and thereby established that a positive proportion of these zeros lie on the critical line. Levinson improved this proportion to at least 1/3 using a new zero‑detection and mollification technique. It was previously unclear whether Levinson's method could still yield a positive proportion of critical zeros when the mollifier is taken to be arbitrarily short. We prove that Levinson's method, as modified by Conrey, does in fact produce a positive proportion of zeros, no matter how short the mollifier. This is joint work with Brian Conrey, David Farmer, Chung‑Hang Kwan, and Caroline Turnage‑Butterbaugh.


报告人简介:

林永晓,山东大学教授,博士生导师。2018年博士毕业于俄亥俄州立大学,2018年至2022年在洛桑联邦理工黄色仓库 任博士后,2022年10月起任山东大学教授,被聘为山东大学杰出中青年学者。主要研究方向为解析数论与自守形式。


邀请人:董自康,张涵