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Conditional Proof of the Collatz Conjecture via Goldbach Partitions

Conditional Proof of the Collatz Conjecture via Goldbach ...
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Phenomenological Evidence of GUE Statistics and Thermodynamic Stability in Goldbach Partitions

This preprint presents a computational and phenomenological analysis of Goldbach's Conjecture through the combined lenses of spectral theory (GUE random matrix statistics) and statistical mechanics (thermodynamic entropy). Using an integral-refined Hardy–Littlewood heuristic with explicit Singular Series computation, we achieve convergence ratios of ≈1.
openaire   +1 more source

An exact procedure for determining integers to be used in Goldbach partition and proof of Strong Goldbach conjecture

2021
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Exceptional zeros and the Goldbach problem

Journal of Number Theory, 2022
Daniel Goldston, Ade Irma Suriajaya, John Friedlander   +2 more
exaly  

A Geometric Construction for the Goldbach Conjecture: Sphere Helix Identity and Gauss Partition Method

Within the sphere helix framework of the Riemann ζ function (V12, DOI: 10.5281/zenodo.20504171), this paper establishes the exact algebraic identity cos(t_p) + cos(t_q) = 1/R, translating the Goldbach condition p + q = 2R into the dynamical language of the sphere helix.
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Goldbach partitions and sequences

Resonance, 2015
Subhash Kak
exaly  

A Rudimentary Proof on Goldbach Conjectures

2022
exaly  

On The Distribution of Goldbach Partitions and Prime Numbers

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A Cesàro average of Goldbach numbers

Forum Mathematicum, 2015
Alessandro Zaccagnini, Alessandro Languasco   +1 more
exaly  

A pair correlation hypothesis and the exceptional set in Goldbach's problem

Mathematika, 1996
exaly