Siegel Zeros and the Hardy-Littlewood Conjecture

Yunan Wang

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arXiv · 2402.19332

Siegel Zeros and the Hardy-Littlewood Conjecture

Yunan Wang

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Abstract

In 2016, Fei \cite{fei2016application} established a bound on the Siegel zeros for real primitive Dirichlet characters modulo $q$, 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.

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Yunan Wang. 2024-02-29. Siegel Zeros and the Hardy-Littlewood Conjecture. https://arxiv.org/abs/2402.19332

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