A Residual-Exclusion Approach to the Riemann Hypothesis in the Nyman--Beurling--Baez-Duarte Framework

This preprint presents a public structural proof-candidate article for the Riemann Hypothesis in the fixed Nyman--Beurling--Baez-Duarte Hilbert-space framework. The article proves the Hilbert-space structural reduction: monotonicity of the approximation defect, identification of the limiting defect, existence and canonical nature of a residual obstruction under failure of closure, dual separation, and the abstract closure implication from a finite collection of technical estimates A--E. The full technical verification of Estimates A--E is not contained in this public preprint and remains the subject of a technical companion manuscript and external mathematical review. The Riemann Hypothesis consequence stated in the article is therefore conditional on the validity of A--E in the fixed NBBD normalization. This Zenodo record contains the public preprint PDF, the LaTeX source, and the full version archive.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20924817
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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0.00
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article

A Residual-Exclusion Approach to the Riemann Hypothesis in the Nyman--Beurling--Baez-Duarte Framework

Yurii Muktarov
Zenodo (CERN European Organization for Nuclear Research)
Spectral Theory in Mathematical Physics
article

A Residual-Exclusion Approach to the Riemann Hypothesis in the Nyman--Beurling--Baez-Duarte Framework

Yurii Muktarov
article en

Abstract

This preprint presents a public structural proof-candidate article for the Riemann Hypothesis in the fixed Nyman--Beurling--Baez-Duarte Hilbert-space framework. The article proves the Hilbert-space structural reduction: monotonicity of the approximation defect, identification of the limiting defect, existence and canonical nature of a residual obstruction under failure of closure, dual separation, and the abstract closure implication from a finite collection of technical estimates A--E. The full technical verification of Estimates A--E is not contained in this public preprint and remains the subject of a technical companion manuscript and external mathematical review. The Riemann Hypothesis consequence stated in the article is therefore conditional on the validity of A--E in the fixed NBBD normalization. This Zenodo record contains the public preprint PDF, the LaTeX source, and the full version archive.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 3%
Spectral Theory in Mathematical Physics
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A Residual-Exclusion Approach to the Riemann Hypothesis in the Nyman--Beurling--Baez-Duarte Framework — Yurii Muktarov · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS