Department of Mathematics - Master Calendar

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
E-Mail: jat9@illinois.edu and yyyliu@illinois.edu
Views: 17
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.