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Theorems · Inductive type · number theory

WeakFEPair

(E : Type u_1) → [inst : NormedAddCommGroup E] → [NormedSpace ℂ E] → Type u_1

A structure designed to hold the hypotheses for the Mellin-functional-equation argument (most general version: rapid decay at ∞ up to constant terms)

Defined in
Mathlib.NumberTheory.LSeries.AbstractFuncEq
Cited by
51 results in Mathlib
Foundations
Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WeakFEPair.ε · cited by 28WeakFEPair.εWeakFEPair.k · cited by 26WeakFEPair.kWeakFEPair.f₀ · cited by 24WeakFEPair.f₀WeakFEPair.symm · cited by 24WeakFEPair.symmWeakFEPair.g₀ · cited by 23WeakFEPair.g₀WeakFEPair.f · cited by 23WeakFEPair.fHurwitzZeta.hurwitzEvenFEPair · cited by 21HurwitzZeta.hurwitzEvenFE…WeakFEPair.Λ · cited by 20WeakFEPair.ΛWeakFEPair.g · cited by 13WeakFEPair.gWeakFEPair.Λ₀ · cited by 13WeakFEPair.Λ₀IsStrongFEPair · cited by 13IsStrongFEPairModularForm.weakFEPair · cited by 9ModularForm.weakFEPairHurwitzZeta.hurwitzOddFEPair · cited by 8HurwitzZeta.hurwitzOddFEP…WeakFEPair.hk · cited by 6WeakFEPair.hkIsStrongFEPair.Λ_eq · cited by 6IsStrongFEPair.Λ_eqNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceComplex · cited by 5565ComplexWeakFEPairCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by75

Results whose statement or proof uses this declaration.