Large character sums with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang, Hao Zhang, Shengbo Zhao
Published: 2025/9/11
Abstract
In this paper, we investigate large values of Dirichlet character sums with multiplicative coefficients $\sum_{n\le N}f(n)\chi(n)$. We prove a new Omega result in the region $\exp((\log q)^{\frac12+\delta})\le N\le\sqrt q$, where $q$ is the prime modulus.