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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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Some Identities Involving the Cesàro Average of the Goldbach Numbers
Mathematical Notes, 2019Marco Cantarini
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Refinements of Goldbach's conjecture,and the generalized Riemann hypothesis
Functiones Et Approximatio, Commentarii Mathematici, 2007Andrew Granville
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On the Waring–Goldbach problem for seventh and higher powers
Monatshefte Fur Mathematik, 2016Angel Kumchev, Trevor D Wooley
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Numerical Verification of the Ternary Goldbach Conjecture up to 8.875·1030
Experimental Mathematics, 2013David J Platt
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