A Famous Puzzle, Solved by Asking the Right Question

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Authors: Fiona Mcgeough
Cited by: 0

Abstract

This short paper provides a plain-language explanation of a recent proof framework for the Riemann Hypothesis. Rather than presenting technical arguments, it explains the central conceptual shift behind the work: reframing the Riemann Hypothesis from a problem of locating zeros to a problem of determining which global zero patterns are allowed to exist at all. The paper outlines why classical approaches — based on approximation, statistics, and local analysis — were unable to exclude certain hypothetical alternatives, despite overwhelming numerical and theoretical evidence. It then explains how introducing global consistency and admissibility resolves this gap, turning the hypothesis into a rigidity and uniqueness puzzle rather than a search problem. This explainer is intended for general readers with mathematical curiosity. Full proofs and technical details are contained in the accompanying research papers, including Beyond Zeros: The Riemann Hypothesis as an Admissibility Constraint (DOI: 10.5281/zenodo.18039090).

Fields of Study & Subjects

History and Theory of Mathematics Computability Logic AI Algorithms Constraint Satisfaction and Optimization

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
2 March 2026