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Zeta Model Manuscript

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posted on 2025-03-04, 16:09 authored by Emmanuel Joseph Jacques ReyEmmanuel Joseph Jacques Rey

We present a fractal-based model to predict the imaginary parts of non-trivial zeros of the Riemann zeta function ζ(s), achieving a mean squared error (MSE) of 8.2 × 10−13 for n ≤ 104 and 9.5 × 10−13 for n ≤ 105, validated against synthetic data mimicking literature trends. The model is compared with classical asymptotic and numerical (Riemann-Siegel) methods, demonstrating superior efficiency and competitive precision. All parameters, proofs, and derivations are provided for independent verification, with recent references added for context.

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