Resonance Operator for Prime Detection via Riemann Zeta Zeros

This work introduces a resonance operator constructed from the first non-trivial zeros of the Riemann zeta function and the von Mangoldt function. The operator produces measurable spectral peaks corresponding to prime numbers, reflecting the analytic connection between primes and zeta zeros. A minimal Python implementation and a PDF with the mathematical formulation are included.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-26
DOI
https://doi.org/10.5281/zenodo.18777488
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Resonance Operator for Prime Detection via Riemann Zeta Zeros

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

Resonance Operator for Prime Detection via Riemann Zeta Zeros

article en

Abstract

This work introduces a resonance operator constructed from the first non-trivial zeros of the Riemann zeta function and the von Mangoldt function. The operator produces measurable spectral peaks corresponding to prime numbers, reflecting the analytic connection between primes and zeta zeros. A minimal Python implementation and a PDF with the mathematical formulation are included.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 38%
Analytic Number Theory Research
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