Large quadratic character sums

2025/09/09 by Zikang Dong, Yanbin Zhang, Dong, Zikang +1 · 2 citations
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.2509.07651

Abstract

In this article, we investigate conditional large values of quadratic Dirichlet character sums. We prove some Omega results of quadratic character sums under the assumption of the generalized Riemnn hypothesis, which are as sharp as previous results for all characters modulo a large prime.

Citations

• Bounds for moments of quadratic character sums and theta functions
• Structure of large quadratic character sums
• The maximum size of short character sums
• Lower bounds for the maximum of the Riemann zeta function along vertical\n lines

Cited by

• Note on large quadratic character sums
• Large quadratic character sums with multiplicative coefficients

Related

• Note on large quadratic character sums
• Large quadratic character sums with multiplicative coefficients
• Structure of large quadratic character sums
• Large character sums with multiplicative coefficients
• Large values of character sums with multiplicative coefficients