Quadratic character sums with multiplicative coefficients
Zikang Dong, Zhonghua Li, Yutong Song, Shengbo Zhao

TL;DR
This paper investigates the extreme values of quadratic character sums with multiplicative coefficients, employing the resonance method to establish conditional lower bounds within a specific range of N.
Contribution
It introduces a new application of the resonance method to quadratic character sums with multiplicative coefficients, providing conditional Omega-results.
Findings
Established conditional lower bounds for quadratic character sums
Applied the resonance method in a novel context
Identified extremal behavior of these sums within certain ranges
Abstract
In this article, we study extreme values of quadratic character sums with multiplicative coefficients . For a positive number within a suitable range, we employ the resonance method to establish a conditional -result.
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