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Clear filtersD_D₂
Plain-language statement
The D-derivative of the anomaly function D₂. D₂ γ z = 2πi · (γ₁₀ / denom γ z), so D(D₂ γ) = (2πi)⁻¹ · d/dz[2πi · c / denom] = -c² / denom²
Source project: Sphere Packing in Dimension 8
Person-level attribution pending.
serre_DE₂_slash_invariant
Plain-language statement
The Serre derivative of E₂ is weight-4 slash-invariant. This requires explicit computation since E₂ is not modular. Proof strategy: Write serre_D 1 E₂ = serre_D 2 E₂ + (1/12) E₂². Then: - (serre_D 2 E₂) ∣[4] γ = serre_D 2 (E₂ ∣[2] γ) by serre_D_slash_equivariant - E₂ ∣[2] γ = E₂ - α D₂ γ where α = 1/(2ζ(2)) = 3/π² - (E₂²) ∣[4] γ = (E₂ ∣[2] γ)² After e...
Source project: Sphere Packing in Dimension 8
Person-level attribution pending.