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报告题目: 午间学术报告会(一百三十九):The Beurling--Wintner problem and analytic number theory
报 告 人: 郭坤宇 教授
报告人所在单位: 复旦大学数学科学学院
报告日期: 2021-09-24
报告时间: 12:00-13:00
报告地点: 光华东主楼1801
   
报告摘要:

This talk concerns a long-standing problem on completeness of function systems generated by odd periodic extensions  of  functions in L^2(0,1). This problem, raised by Beurling and Wintner in the 1940s,  is closely related to the Riemann Hypothesis. We completely solve the rational version of step functions (that is, for those functions with  rational jump discontinuities) by approaches from analytic number theory, and present several deep applications including a complete  solution to the rational version of Kolzov completeness problem. This is a joint work with Dr. Hui Dan.

午间学术报告会海报09_24.pdf

   
本年度学院报告总序号: 226

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