Quadratic character sums with multiplicative coefficients

2025/08/23 by Dong, Zikang, Li, Zhonghua, Song, Yutong +1 · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.16967

Abstract

In this article, we study extreme values of quadratic character sums with multiplicative coefficients ∑_{n ≤ N}f(n)χ_d(n). For a positive number N within a suitable range, we employ the resonance method to establish a conditional Ω-result.

Citations

• Extreme values of Dirichlet polynomials with multiplicative coefficients
• The typical size of character and zeta sums is o(√(x))
• The maximum size of short character sums
• Large values of short character sums
• Extreme values of the Riemann zeta function on the 1-line
• Lower bounds for the maximum of the Riemann zeta function along vertical\n lines

Cited by

• Large quadratic character sums with multiplicative coefficients

Related

• Large values of character sums with multiplicative coefficients
• Large character sums with multiplicative coefficients
• Large quadratic character sums with multiplicative coefficients
• The maximum size of short character sums
• Large quadratic character sums