Large character sums with multiplicative coefficients

2025/09/11 by Dong, Zikang, Song, Yutong, Wang, Weijia +2 · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2509.09649

Abstract

In this paper, we investigate large values of Dirichlet character sums with multiplicative coefficients ∑_{n≤ N}f(n)χ(n). We prove a new Omega result in the region exp((log q)^\frac12+δ)≤ N≤√ q, where q is the prime modulus.

Citations

• Lower bounds for the maximum of the Riemann zeta function along vertical\n lines

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• Large quadratic character sums with multiplicative coefficients

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