Lectures on the Riemann Zeta Function
This course offers a comprehensive exploration of the Riemann zeta function, ζ(s), one of the most profound and enigmatic objects in number theory. Drawing inspiration from H. Iwaniec's Lectures on the Riemann Zeta Function, the course will cover both classical and modern aspects of ζ(s), with a focus on its analytic properties, connections to prime numbers, and the celebrated Riemann Hypothesis.
讲师
日期
2025年09月02日 至 12月23日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二 | 14:20 - 16:55 | A14-202 | ZOOM B | 462 110 5973 | BIMSA |
修课要求
Complex analysis (e.g., contour integration, residue theorem), Basic number theory (e.g., arithmetic functions, Dirichlet series), Familiarity with Fourier transforms and asymptotic analysis is helpful but not require.d
参考资料
1. H. Iwaniec, Lectures on the Riemann Zeta Function
2. E. C. Titchmarsh, The Theory of the Riemann Zeta Function
3. E. H. Edwards, Riemann's Zeta Function
2. E. C. Titchmarsh, The Theory of the Riemann Zeta Function
3. E. H. Edwards, Riemann's Zeta Function
听众
Undergraduate
, Advanced Undergraduate
, Graduate
视频公开
公开
笔记公开
公开
语言
中文
, 英文