Source-pinned research

Research proof index

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This index contains 27 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.31.0

Sigma qexp deriv bound generic

sigma_qexp_deriv_bound_generic

Plain-language statement

Generic derivative bound for σ_k q-series on compact sets. Uses σ_k(n) ≤ n^(k+1) (sigma_bound) and iter_deriv_comp_bound3 for exponential decay.

sphere packingFourier analysismodular forms

Source project: Sphere Packing in Dimension 8

Person-level attribution pending.

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Project-declaredLean 4.31.0

Sigma qexp summable generic

sigma_qexp_summable_generic

Plain-language statement

Generic summability for n^a * σ_b(n) * exp(2πinz) series. Uses σ_b(n) ≤ n^(b+1) (sigma_bound) and a33 (a+b+1) for exponential summability.

sphere packingFourier analysismodular forms

Source project: Sphere Packing in Dimension 8

Person-level attribution pending.

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Project-declaredLean 4.31.0

Δ fun eq Δ

Δ_fun_eq_Δ

Plain-language statement

The discriminant Δ_fun = 1728⁻¹(E₄³ - E₆²) equals the standard discriminant Δ.

sphere packingFourier analysismodular forms

Source project: Sphere Packing in Dimension 8

Person-level attribution pending.

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