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.
Authors
- Yurii Muktarov (ORCID: https://orcid.org/0009-0004-8455-1148)
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
- Field-Weighted Citation Impact
- 0.00