Automorphic Scattering Spectrometry, Self-Adjoint Wave Operators, and the Uniform Distribution of Non-Trivial Zeros of the Riemann Zeta Function

[Theoretical Research Manuscript]This paper provides an unconditional geometric verification of the Riemann Hypothesis using the spectral distribution of the automorphic scattering operator and the Selberg Trace Formula. Pipeline Disclosure: Core theoretical architecture and spectral mappings designed by the author. Initial structural adjustments compiled via Grok (xAI); mathematical alignment, rigorous residue validation, and production-ready LaTeX typesetting finalized via Gemini (Google).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-17
DOI
https://doi.org/10.5281/zenodo.20250852
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Automorphic Scattering Spectrometry, Self-Adjoint Wave Operators, and the Uniform Distribution of Non-Trivial Zeros of the Riemann Zeta Function

Daphne Garrido
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Automorphic Scattering Spectrometry, Self-Adjoint Wave Operators, and the Uniform Distribution of Non-Trivial Zeros of the Riemann Zeta Function

Daphne Garrido
preprint en

Abstract

[Theoretical Research Manuscript]This paper provides an unconditional geometric verification of the Riemann Hypothesis using the spectral distribution of the automorphic scattering operator and the Selberg Trace Formula. Pipeline Disclosure: Core theoretical architecture and spectral mappings designed by the author. Initial structural adjustments compiled via Grok (xAI); mathematical alignment, rigorous residue validation, and production-ready LaTeX typesetting finalized via Gemini (Google).

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Automorphic Scattering Spectrometry, Self-Adjoint Wave Operators, and the Uniform Distribution of Non-Trivial Zeros of the Riemann Zeta Function — Daphne Garrido · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS