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March 10, 20260 citationsOpen Access

Self-Convergence of 1/(1+b): The Universal Generator of Oscillator, Measure, and Symmetry in the Riemann Zeros

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RRRicardo Hernández Reveles

Key Points

  • The aim is to show that the function f(b)=1/(1+b) exhibits self-convergence and its implications for Riemann Hypothesis.
  • Analyzed the function f(b)=1/(1+b) for self-convergence.
  • Examined its role in generating Euler factors and the Gauss-Kuzmin measure.
  • Investigated the symmetry axis Re(s)=1/2 via variational principles.
  • Demonstrated that primality constraints b=1 at the co-divergent boundary.
  • Established a connection between self-convergence and arithmetic completeness.
  • Reformulated the Riemann Hypothesis based on exhaustion of self-convergence.

Abstract

We show that f(b)=1/(1+b) is self-convergent: it generates the Euler factors, governs the Gauss-Kuzmin measure, and forces the symmetry axis Re(s)=1/2 through a variational principle. Primality forces b=1 at the co-divergent boundary where 1/2 emerges. RH is reformulated as the assertion that this self-convergence is exhaustive: arithmetic completeness.

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Cite This Study

Ricardo Hernández Reveles (2026) studied this question.

synapsesocial.com/papers/69af95c070916d39fea4d9f5https://doi.org/10.5281/zenodo.18916004
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