A new experimental and visual approach to the Riemann zeros

Decomposition of integers into cyclic families 2^k + c. Restricted zeta functions ζ̃_c(s) whose all nontrivial zeros lie on Re(s)=1/2 and are equally spaced. Regularized sum recovers ζ(s). Spiral visualization shows that the common intersection coincides with the Riemann zeros. Explicit formula links prime numbers to the zeros of ζ̃_c(s). A new experimental and visual approach to the Riemann Hypothesis. Paper includes figures and Python code.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-12
DOI
https://doi.org/10.5281/zenodo.20669825
Primary Topic
Analytic Number Theory Research
Type
article
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article

A new experimental and visual approach to the Riemann zeros

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

A new experimental and visual approach to the Riemann zeros

MONIA DAOUDI
article en

Abstract

Decomposition of integers into cyclic families 2^k + c. Restricted zeta functions ζ̃_c(s) whose all nontrivial zeros lie on Re(s)=1/2 and are equally spaced. Regularized sum recovers ζ(s). Spiral visualization shows that the common intersection coincides with the Riemann zeros. Explicit formula links prime numbers to the zeros of ζ̃_c(s). A new experimental and visual approach to the Riemann Hypothesis. Paper includes figures and Python code.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 2%
Analytic Number Theory Research
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