Stabilization and Spectral Interpretation in Zeta-Structured Systems
Abstract
This preprint develops a structural framework for interpreting stabilization within spectral models associated with zeta-structured systems. The work embeds Dirichlet-type series into operator-theoretic settings and defines stabilization through spectral radius constraints and regularization operators. No claim is made regarding the Riemann Hypothesis or the zero distribution of the Riemann zeta function. The contribution is analytic and structural, clarifying spectral containment and convergence behavior within bounded operator frameworks. This work does not claim resolution of the Riemann Hypothesis and does not present new results concerning zero distribution.
Fields of Study & Subjects
Analytic Number Theory Research
Spectral Theory in Mathematical Physics
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 March 2026
- Language
- EN
- Document type
- Preprint