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mpmath

Here are 28 public repositories matching this topic...

A computational and formal workbench around the Riemann zeta function: kernel-checked Lean proofs, ball-arithmetic enclosures, structure-matched negative controls, and the dead ends published beside the results. Makes no claim of progress toward RH.

  • Updated Sep 1, 2026
  • Lean

Certified first 1,000 nontrivial zeros of the Riemann zeta function using a dual-evaluator (mpmath ζ + η‐series) contour method with strict Krawczyk isolation and automatic refinement.

  • Updated Nov 20, 2025
  • Python

Official repo for "The Genesis of e from Modular Substrate Theory". Certifies exact algebraic identities linking e, ln 2, and ζ(0) = -1/2 with Lean 4 (0 sorries). Features a high-precision Python suite showing robust D₆ dihedral phase quantization over 10,000 non-trivial Riemann zeros with extreme statistical significance (p ≈ 10⁻⁸³).

  • Updated Jul 16, 2026
  • TeX

Official repository for the non-perturbative derivation of the fine-structure constant (α⁻¹). A parameter-free spectral action model matching CODATA 2022 within 1.5 × 10⁻¹⁴. Features the complete Python validation suite (Monte Carlo LEE audit, PSLQ, SciPy RG flow) and mechanized mathematical proofs certified in Lean 4.

  • Updated Jul 15, 2026
  • Jupyter Notebook

Solução robusta para o Método dos Mínimos Quadrados em Python. Projetada para ajustar polinômios de grau alto (10+) sem divergência. Integra aritmética de precisão infinita, correção automática para falta de dados e estabilização de matrizes mal-condicionadas. Ideal para modelagem matemática onde o NumPy padrão falha por erros de arredondamento.

  • Updated Nov 27, 2025
  • Jupyter Notebook

🌌 Official repo for "The Emergence of Geometry." Features 150-digit precision validation and Lean 4 formal verification of the fundamental identity linking ζ(0), ln 2, and spatial geometry within the Z/6Z modular substrate.

  • Updated Jul 26, 2026
  • Jupyter Notebook

Computational and mathematical research archive and proof-engineering workspace for experimental approaches to the Riemann Hypothesis, Li-Keiper positivity, and related spectral/arithmetic structures.

  • Updated Aug 18, 2026
  • Jupyter Notebook

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