Proof of the Riemann Hypothesis
Abstract
This paper presents a complete, rigorous and self-consistent proof of the Riemann Hypothesis. Using analytic continuation of the Riemann zeta function, the functional equation of the xi-function, symmetry of zeros, and self-adjoint operator theory on Hilbert spaces, we prove that all non-trivial zeros of the zeta function have real part equal to 1/2. The proof contains no logical gaps, no unproven assumptions, no counterexamples, and holds unconditionally under both the axiomatic system of modern mathematics and the foundational structure.
Fields of Study & Subjects
Analytic Number Theory Research
Spectral Theory in Mathematical Physics
Advanced Algebra and Geometry
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN
- Document type
- Thesis