Siegel Zeros and the Hardy-Littlewood Conjecture
Number Theory
2024-03-01 v1
Abstract
In 2016, Fei \cite{fei2016application} established a bound on the Siegel zeros for real primitive Dirichlet characters modulo , assuming the weak Hardy-Littlewood conjecture. Building on Fei's work, Jia \cite{jia2022conditional} demonstrated the same bound using a stronger version of the Hardy-Littlewood conjecture. In this paper, we present a slightly simplified approach to reprove their results.
Keywords
Cite
@article{arxiv.2402.19332,
title = {Siegel Zeros and the Hardy-Littlewood Conjecture},
author = {Yunan Wang},
journal= {arXiv preprint arXiv:2402.19332},
year = {2024}
}