Small gaps between zeros of the Riemann zeta-function
Event details
| Date | 28.09.2022 |
| Hour | 14:00 › 15:00 |
| Speaker | Caroline Turnage-Butterbaugh (Carleton College) |
| Location | |
| Category | Conferences - Seminars |
Let $0 < \gamma_1 \le \gamma_2 \le \cdots $ denote the ordinates of the complex zeros of the Riemann zeta-function function in the upper half-plane. The average distance between $\gamma_n$ and $\gamma_{n+1)$ is $2\pi / \log \gamma_n$ as $n\to \infty$. An important goal is to prove unconditionally that these distances between consecutive zeros can be much, much smaller than the average spacing for a positive proportion of zeros. We will discuss the motivation behind this endeavor, progress made assuming the Riemann Hypothesis, and recent work with A. Simonič and T. Trudgian to obtain the first unconditional result that holds for a positive proportion of zeros.
Practical information
- Informed public
- Free
Organizer
- Philippe Michel
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)