Exponential sums over smooth numbers
Event details
| Date | 28.01.2015 |
| Hour | 11:00 › 12:00 |
| Speaker | Adam Harper |
| Location | |
| Category | Conferences - Seminars |
Abstrait: A number is said to be $y$-smooth if all of its prime factors are at most $y$. Exponential sums over the $y$-smooth numbers less than $x$ have been widely investigated, but existing results were weak if $y$ is too small compared with $x$. For example, if $y$ is a power of $\log x$ then existing results were insufficient to study ternary additive problems involving smooth numbers, except by assuming conjectures like the Generalised Riemann Hypothesis.
I will try to describe my recent work on bounding mean values of exponential sums over smooth numbers, which allows an unconditional treatment of ternary additive problems even with $y$ a (large) power of $\log x$. There are connections with restriction theory and additive combinatorics.
I will try to describe my recent work on bounding mean values of exponential sums over smooth numbers, which allows an unconditional treatment of ternary additive problems even with $y$ a (large) power of $\log x$. There are connections with restriction theory and additive combinatorics.
Practical information
- Informed public
- Free
Organizer
- Prof. Eva Bayer Fluckiger
Contact
- Natascha Fontana