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June 2, 2026Open Access

A Conditional Reduction of the Riemann Hypothesis to Even Dominance of the Weil Quadratic Form

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Authors

LGLukas Geiger

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Overview

Conditional reduction explores the Riemann Hypothesis via the Weil quadratic form in diagnostic research framework.

Key Points

  • This research aims to establish a conditional reduction of the Riemann Hypothesis through the lens of even dominance in the Weil quadratic form.
  • Extracted key components from the Landscape series related to the Riemann Hypothesis.
  • Utilized external criteria from Connes and Connes–van Suijlekom.
  • Analyzed finite Landscape CAP values over a specified range of λ values.
  • Identified two unconditional structural results that support the research route without proving the Riemann Hypothesis itself.
  • Established that the even-dominance margin is not proven to equal a de Bruijn–Newman statement, leaving the route open.
  • Confirmed that the asymptotic variational gap remains a well-posed problem, requiring further investigation.

Cite This Study

Lukas Geiger (2026) studied this question.

synapsesocial.com/papers/6a1e72e830b38c64201b61e2https://doi.org/10.5281/zenodo.20479145
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