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.
Lecturer
Date
9th September ~ 30th December, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 14:20 - 16:55 | A14-202 | ZOOM B | 462 110 5973 | BIMSA |
Prerequisite
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
Reference
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
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
Video Public
Yes
Notes Public
Yes
Language
Chinese
, English
Lecturer Intro
2010-2014年，就读于南开大学，获得理学学士学位；
2014-2021年，就读于中国科学院数学与系统科学研究院，获得理学博士学位；
2021-2024年，就职于北京雁栖湖应用数学研究院做博士后；
2024年至今，就职于北京雁栖湖应用数学研究院，职位是Assistant Professor in Practice
2014-2021年，就读于中国科学院数学与系统科学研究院，获得理学博士学位；
2021-2024年，就职于北京雁栖湖应用数学研究院做博士后；
2024年至今，就职于北京雁栖湖应用数学研究院，职位是Assistant Professor in Practice