Imaginal Arithmetic Geometry: A Generative Reconstruction of Zeta and L-functions

We present imaginal arithmetic geometry, a generative framework in which Frobenius spectra produce emergent images whose global gluing yields zeta and L-functions, offering a unified structural interpretation of classical arithmetic phenomena.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-07
DOI
https://doi.org/10.5281/zenodo.22556215
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

Imaginal Arithmetic Geometry: A Generative Reconstruction of Zeta and L-functions

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Mathematical Dynamics and Fractals
article

Imaginal Arithmetic Geometry: A Generative Reconstruction of Zeta and L-functions

Shin Tamaki
article en

Abstract

We present imaginal arithmetic geometry, a generative framework in which Frobenius spectra produce emergent images whose global gluing yields zeta and L-functions, offering a unified structural interpretation of classical arithmetic phenomena.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 5%
Mathematical Dynamics and Fractals
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