The Riemann Hypothesis and the Principle of the Threshold of Unity

This study presents a demonstration of the Riemann Hypothesis based on the Principle of the Threshold of Unity. The approach establishes the central role of the value \(1/2\) in the relation between \(s\) and \(1-s\). It identifies \(1/2\) as the exact center of unity and relates this central position to the cancellation mechanism associated with the nontrivial zeros of the Riemann zeta function.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-11
DOI
https://doi.org/10.5281/zenodo.22712454
Primary Topic
History and Theory of Mathematics
Type
preprint
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preprint

The Riemann Hypothesis and the Principle of the Threshold of Unity

Ahmadou Moustapha Diao
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

The Riemann Hypothesis and the Principle of the Threshold of Unity

Ahmadou Moustapha Diao
preprint en

Abstract

This study presents a demonstration of the Riemann Hypothesis based on the Principle of the Threshold of Unity. The approach establishes the central role of the value \(1/2\) in the relation between \(s\) and \(1-s\). It identifies \(1/2\) as the exact center of unity and relates this central position to the cancellation mechanism associated with the nontrivial zeros of the Riemann zeta function.

Zenodo (CERN European Organization for Nuclear Research)
Keskuslaboratorio (FI)
Reduced inequalities
History and Theory of Mathematics
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