A Complete Proof of the Riemann Hypothesis via Contradictions in Prime Fluctuations, Zero Density, and De Bruijn–Newman Dynamics
This paper presents a complete and unconditional proof of the Riemann Hypothesis (RH), showing that all non-trivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2. The proof uses a contradiction framework constructed across three independent analytic domains: prime fluctuations, zero density estimates, and the dynamics of the De Bruijn–Newman constant Λ. No unproven conjectures are used. All arguments rely on known results in analytic number theory. This version is public for open peer review.
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-03-24
- DOI
- https://doi.org/10.5281/zenodo.15079158
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00