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)πLSP(X) = π(X) + 1/4 log log X + O(1)πLSP(X)=π(X)+41loglogX+O(1) where πLSP(X)=∑p≤Xp⋅Li2(1/p)πLSP(X) = ∑p ≤ X p · Li_2(1/p) πLSP(X)=∑p≤Xp⋅Li2(1/p). Contents: High-precision computation of πLSP(X)πLSP(X) πLSP(X) for X∈[103,107]X ∈ [10^3, 10^7] X∈[103,107] Tabulated values confirming the uniform bound ∣πLSP(X)−π(X)−14log⁡log⁡X∣≤5|πLSP(X) - π(X) - 1/4loglog 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 · Li_2(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)