Riemann Hypothesis: An AI-Emergent Operator-Theoretic Framework
Abstract
A mathematical manuscript proposing an operator-theoretic approach to the Riemann Hypothesis using Birman-Krein determinant theory. The framework constructs a prime-bump potential whose scattering determinant is identifiable with the completed zeta function ratio. Sign-definiteness of the potential excludes zeros in the upper half-plane, and Hurwitz's theorem preserves zero-freeness in the limit. This work emerged through AI-human collaboration and includes computational verification of key mathematical claims.
Fields of Study & Subjects
Analytic Number Theory Research
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 28 January 2026
- Document type
- Preprint