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El Operador Ω_PCF y La Estructura Primitiva del Plano Complejo: De Mersenne a Riemann mediante acoplamiento geométrico φ-i-S₃

Authors: González García, Jorge Armando; González García, Víctor Manuel; Dressler Pérez, Itzel Marion; García Ordóñez, Luz María; Tenorio, Pablo; Moreno, Mario;

El Operador Ω_PCF y La Estructura Primitiva del Plano Complejo: De Mersenne a Riemann mediante acoplamiento geométrico φ-i-S₃

Abstract

Through multi-domain coherence bootstrap principles, we transcend self-reference problems of the Lawvere-Yanofsky type that have limited several previous attempts to construct the Hilbert-Pólya operator, as well as other approaches to the Riemann Hypothesis. We develop an operator as an analytical tool of the complex plane through three-dimensional modularization coupled to the golden ratio—a reorganization that preserves all constituents of ℂ while revealing underlying toroidal structure.

Keywords

Random matrix theory, L-functions, Zeta function zeros, Modular spaces, Mersenne primes, Riemann hypothesis, Hilbert-Pólya conjecture, Self-adjoint operators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green