birch-swinnerton-dyer-143a1 — BSD for Curve 143a1 — Hasse Infinite HONEST + Bost Bound S₄ •Formally Verified Analytic Rank 1 = Algebraic Rank 1 Lean 4.12
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Updated
Aug 24, 2026 - Lean
birch-swinnerton-dyer-143a1 — BSD for Curve 143a1 — Hasse Infinite HONEST + Bost Bound S₄ •Formally Verified Analytic Rank 1 = Algebraic Rank 1 Lean 4.12
Route C of 4 — Act III Growth. RH via contradiction: |ζ|≤C(log t)² false via Littlewood 1924 Ω exp(c√(log t/log log t)). Zero repulsion c1=0.209>0.2 β>0.9 closed at p5 → S₄={2,3,19,191} C=11.422>2√13 → GRH → H₄ 12/11 → RH. Lean 4.12 0 sorry. Opera Numerorum with A, B, D 35 brothers desert.
Route A of 4 — Act I Positivity. RH via Arakelov on X₀(143) g=13 ω²=48/13>0 Abbes-Ullmo 1996 → S₄={2,3,19,191} C=11.422>2√13 → GRH M9 → H₄ 12/11 → RH. Lean 4.12 0 sorry riemannZeta. Opera Numerorum with B λ₁≥975/4096, C exp(c√log/loglog), D jitter ||p·α₀||<1/p → R=1/2. doi:10.5281/zenodo.21303944
Unconditional μ=0 for X₀(143): |ζ(1/2+it)|=O(t^ε) via S₄={2,3,19,191}. Δ_E4=23.79>2√13 ⇒ GRH X₀(143) ⇒ Lindelöf. Lean 4, 0 sorry.
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