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

We develop an information-theoretic framework for the Riemann Hypothesis (RH) by treating the non-trivial zeros of the Riemann zeta function as frequency components of a spectral decomposition of the prime counting error.

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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.18867885
Primary Topic
Statistical Mechanics and Entropy
Type
article
Field-Weighted Citation Impact
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article

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

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 Equivalence

Bela Tilinger
article en

Abstract

We develop an information-theoretic framework for the Riemann Hypothesis (RH) by treating the non-trivial zeros of the Riemann zeta function as frequency components of a spectral decomposition of the prime counting error.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 34%
Statistical Mechanics and Entropy
DOIOpen Access PDFOpenAlex
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