On the Riemann Hypothesis and Hilbert's Tenth Problem

2023/11/05 by Aran Nayebi, Nayebi, Aran
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Logic (math.LO) #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2311.09464

openalex publication_date 2023/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Riemann hypothesis is one of the most famous unresolved problems in modern mathematics. The discussion here will present an overview of past methods that prove the Riemann hypothesis is a Π₁⁰ sentence. We also end with some attempts towards showing the Elliott-Halberstam conjecture is Π₁⁰.

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