The Riemann Hypothesis as Scale-Independent Spectral Coherence: An Information-Theoretic Proof

We prove the Riemann Hypothesis (RH) by developing an information-theoretic framework that treats the non-trivial zeros of the Riemann zeta function as frequency components of a spectral decomposition.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-04
DOI
https://doi.org/10.5281/zenodo.18867957
Primary Topic
Statistical Mechanics and Entropy
Type
article
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article

The Riemann Hypothesis as Scale-Independent Spectral Coherence: An Information-Theoretic Proof

Bela Tilinger
Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
article

The Riemann Hypothesis as Scale-Independent Spectral Coherence: An Information-Theoretic Proof

Bela Tilinger
article en

Abstract

We prove the Riemann Hypothesis (RH) by developing an information-theoretic framework that treats the non-trivial zeros of the Riemann zeta function as frequency components of a spectral decomposition.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 34%
Statistical Mechanics and Entropy
DOIOpen Access PDFOpenAlex
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The Riemann Hypothesis as Scale-Independent Spectral Coherence: An Information-Theoretic Proof — Bela Tilinger · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS