Analytic Resolution of the Riemann Hypothesis via Self-Adjoint Operators on the Idèle Class Group and Geometric Bounds of Prime Distribution

Riemann Hypothesis and its equivalent Prime Number Conjecture demand a rigorous proof oftwo interlocked mathematical statements: (i) Spectral Confinement, asserting that all non-trivialzeros ρ of the analytically continued Riemann zeta function.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24039530
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Analytic Resolution of the Riemann Hypothesis via Self-Adjoint Operators on the Idèle Class Group and Geometric Bounds of Prime Distribution

Yassin Tanan
3 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Analytic Resolution of the Riemann Hypothesis via Self-Adjoint Operators on the Idèle Class Group and Geometric Bounds of Prime Distribution

Yassin Tanan
preprint en

Abstract

Riemann Hypothesis and its equivalent Prime Number Conjecture demand a rigorous proof oftwo interlocked mathematical statements: (i) Spectral Confinement, asserting that all non-trivialzeros ρ of the analytically continued Riemann zeta function.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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