Number Theory Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Gregory Hall 205
- Date
- Oct 8, 2024 11:00 - 11:50 am
- Speaker
- Maksym Radziwill (Northwestern University)
- Contact
- Jesse Thorner and Yuan Liu
- jat9@illinois.edu and yyyliu@illinois.edu
- Views
- 33
- Originating Calendar
- Number Theory Seminar Calendar
Title: Trigonometric polynomials with multiplicative coefficients and small L^1 norms
Abstract: I will discuss joint work with Mayank Pandey in which we show that if a trigonometric polynomial has multiplicative coefficients and small L^1 norm then the coefficients have to be characters. One can view this as a variant of Littlewood's conjecture restricted to trigonometric polynomials with multiplicative coefficients.