The LSP Space, Geometric Refinement, and Links Between the Imaginary Axis, Complex Numbers, and Prime Numbers Supplementary Material: Technical Appendices A–D

Anladım! Zenodo'ya yükleyeceğiniz Numerical Validation Appendix dosyası için açıklama yazısı hazırlıyorum: Zenodo Description: Numerical Validation Appendix for "Mellin-Kernel Analysis and Error Structure in the Log-Spectral-Prime Space" This supplementary material provides computational verification of the main theorem: πLSP (X) =π (X) +14log⁡log⁡X+O (1) ₋ₒ₏ (X) = (X) + 14 X + O (1) πLSP (X) =π (X) +41loglogX+O (1) where πLSP (X) =∑p≤Xp⋅Li2 (1/p) ₋ₒ₏ (X) = ₏ ₗ p Li₂ (1/p) πLSP (X) =∑p≤Xp⋅Li2 (1/p). Contents: High-precision computation of πLSP (X) ₋ₒ₏ (X) πLSP (X) for X∈103, 107X 10³, 10⁷ X∈103, 107 Tabulated values confirming the uniform bound ∣πLSP (X) −π (X) −14log⁡log⁡X∣≤5|₋ₒ₏ (X) - (X) - 14 X| 5 ∣πLSP (X) −π (X) −41loglogX∣≤5 Error term R (X) R (X) R (X) analysis and convergence behavior Dilogarithm kernel p⋅Li2 (1/p) p Li₂ (1/p) p⋅Li2 (1/p) contribution data This appendix accompanies the main paper on geometric phase space construction for prime number distribution using the Log-Spectral-Prime (LSP) framework. Related Publication: A Geometric Phase Space Construction for Prime Number Distribution: The Log-Spectral-Prime (LSP) Space with Branch Structure and Dual Number Extensions (DOI: 10. 5281/zenodo. 19235399)