Large quadratic character sums

Fuente: arXiv
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Main Authors: Dong, Zikang, Zhang, Yanbin
Format: Preprint
Published: 2025
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author Dong, Zikang
Zhang, Yanbin
author_facet Dong, Zikang
Zhang, Yanbin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07651
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Large quadratic character sums
Dong, Zikang
Zhang, Yanbin
Number Theory
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.
title Large quadratic character sums
topic Number Theory
url https://arxiv.org/abs/2509.07651