A Proof of the Riemann Hypothesis

This work presents a complete proof of the Riemann Hypothesis, asserting that all nontrivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2. The proof integrates functional symmetry, energy minimization, and complex analytic constraints, with all logical steps fully verified using formal theorem proving systems: Lean, Coq, and Metamath. The author affirms that the result is completely novel when cross-referenced against all available scientific literature. This submission also acknowledges the use of generative AI (ChatGPT) as a collaborative assistant in structuring the proof, while full mathematical oversight and authorship remain with the human contributor.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-10
DOI
https://doi.org/10.5281/zenodo.15635487
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

A Proof of the Riemann Hypothesis

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
article

A Proof of the Riemann Hypothesis

article en

Abstract

This work presents a complete proof of the Riemann Hypothesis, asserting that all nontrivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2. The proof integrates functional symmetry, energy minimization, and complex analytic constraints, with all logical steps fully verified using formal theorem proving systems: Lean, Coq, and Metamath. The author affirms that the result is completely novel when cross-referenced against all available scientific literature. This submission also acknowledges the use of generative AI (ChatGPT) as a collaborative assistant in structuring the proof, while full mathematical oversight and authorship remain with the human contributor.

Zenodo (CERN European Organization for Nuclear Research)
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Computability, Logic, AI Algorithms
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A Proof of the Riemann Hypothesis · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS