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May 27, 2026Open Access

The Riemann Hypothesis as Identity Constraint

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Authors

GKGereon Kraemer

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Overview

Randomized trial proves all non-trivial zeros of the Riemann zeta function lie on the critical line 1/2, indicating fundamental relationships between additive and multiplicative structures.

Key Points

  • The study aims to prove that all non-trivial zeros of the Riemann zeta function have a real part of 1/2 by leveraging structural mathematical principles.
  • Proceeded by contradiction within a structural framework involving the additive and multiplicative identities of natural numbers.
  • Used established results including the Euler product formula, the Riemann von Mangoldt explicit formula, and the functional equation.
  • No new analytic techniques were introduced.
  • Proved that any zero with a real part different from 1/2 leads to an asymmetrical relationship between additive and multiplicative structures.
  • Demonstrated that this asymmetry contradicts the fundamental identity of natural numbers.
  • Confirmed that each non-trivial zero defines prime distribution at a specific frequency.

Cite This Study

Gereon Kraemer (2026) studied this question.

synapsesocial.com/papers/6a168ae40c924ddd1bd59b05https://doi.org/10.5281/zenodo.20379203
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