A Residual-Exclusion Approach to the Riemann Hypothesis in the Nyman--Beurling--Baez-Duarte Framework
Year: 2026
Type: article
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.
Author: Muktarov, Yurii
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166070139
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