Distribution of mixed character sums and extremal problems for Littlewood polynomials

Jonathan W. Bober, Oleksiy Klurman, Besfort Shala

We prove distributional results for mixed character sums \begin{equation*} \sum_{n\le x }χ(n)e(nθ), \end{equation*} for fixed $\theta \in [0,1]$ and random character $\chi (\mathrm{mod}q)$, as well…