Sign changes of short character sums and real zeros of Fekete polynomials

Oleksiy Klurman, Youness Lamzouri, Marc Munsch

We discuss a general approach producing quantitative bounds on the number of sign changes of the weighted sums $$\sum _{n\le x}f(n)w_n$$ where $f:\mathbb{N}\to \mathbb{R}$ is a fami…