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On the Riemann Hypothesis and Hilbert's Tenth Problem

History and Overview 2023-11-17 v1 Logic Number Theory

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\Pi_1^0 sentence. We also end with some attempts towards showing the Elliott-Halberstam conjecture is Π10\Pi_1^0.

Cite

@article{arxiv.2311.09464,
  title  = {On the Riemann Hypothesis and Hilbert's Tenth Problem},
  author = {Aran Nayebi},
  journal= {arXiv preprint arXiv:2311.09464},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T13:22:48.718Z