Quadratic character sums with multiplicative coefficients

Abstract

In this article, we study extreme values of quadratic character sums with multiplicative coefficients ${\sum }_{n\le N}f(n)\ddot{I}{‡}_d(n)$. For a positive number $N$ within a suitable range, we employ the resonance method to establish a conditional $\hat{I}\text{c◯}$-result.

9 pages