Extreme central values of quadratic Dirichlet $L$-functions with prime conductors

Fuente: arXiv
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Main Authors: Fan, Mingyue, Hua, Shenghao, Xie, Sizhe
Format: Preprint
Published: 2023
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author Fan, Mingyue
Hua, Shenghao
Xie, Sizhe
author_facet Fan, Mingyue
Hua, Shenghao
Xie, Sizhe
contents In this paper we prove a lower bound result for extremely large values of $L(\frac{1}{2},χ_p)$ with prime numbers $p\equiv 1\pmod 8$.
format Preprint
id arxiv_https___arxiv_org_abs_2306_16886
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Extreme central values of quadratic Dirichlet $L$-functions with prime conductors
Fan, Mingyue
Hua, Shenghao
Xie, Sizhe
Number Theory
In this paper we prove a lower bound result for extremely large values of $L(\frac{1}{2},χ_p)$ with prime numbers $p\equiv 1\pmod 8$.
title Extreme central values of quadratic Dirichlet $L$-functions with prime conductors
topic Number Theory
url https://arxiv.org/abs/2306.16886