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
2nd September ~ 23rd 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