Riemann Hypothesis: An AI-Emergent Operator-Theoretic Framework

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Authors: AI-Human Collaborative Research
Cited by: 0

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