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Theorems · Definition · number theory

HurwitzZeta.hurwitzEvenFEPair

UnitAddCircle → WeakFEPair ℂ

A WeakFEPair structure with f = evenKernel a and g = cosKernel a.

Defined in
Mathlib.NumberTheory.LSeries.HurwitzZetaEven
Cited by
21 results in Mathlib
Foundations
Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

HurwitzZeta.completedHurwitzZetaEven · cited by 30HurwitzZeta.completedHurw…HurwitzZeta.completedCosZeta · cited by 19HurwitzZeta.completedCosZ…HurwitzZeta.completedHurwitzZetaEven₀ · cited by 11HurwitzZeta.completedHurw…HurwitzZeta.completedCosZeta₀ · cited by 7HurwitzZeta.completedCosZ…HurwitzZeta.completedHurwitzZetaEven_eq · cited by 4HurwitzZeta.completedHurw…HurwitzZeta.hurwitzEvenFEPair_neg · cited by 4HurwitzZeta.hurwitzEvenFE…HurwitzZeta.differentiable_completedHurwitzZetaEven₀ · cited by 4HurwitzZeta.differentiabl…HurwitzZeta.completedCosZeta_zero · cited by 3HurwitzZeta.completedCosZ…HurwitzZeta.completedHurwitzZetaEven_one_sub · cited by 3HurwitzZeta.completedHurw…HurwitzZeta.completedHurwitzZetaEven_neg · cited by 2HurwitzZeta.completedHurw…HurwitzZeta.completedHurwitzZetaEven_residue_one · cited by 2HurwitzZeta.completedHurw…HurwitzZeta.hasSum_int_completedCosZeta · cited by 2HurwitzZeta.hasSum_int_co…HurwitzZeta.completedHurwitzZetaEven₀_one_sub · cited by 2HurwitzZeta.completedHurw…HurwitzZeta.hurwitzEvenFEPair_zero_symm · cited by 2HurwitzZeta.hurwitzEvenFE…HurwitzZeta.differentiableAt_completedHurwitzZetaEven · cited by 2HurwitzZeta.differentiabl…Real · cited by 25697RealComplex · cited by 5565ComplexComplex.ofReal · cited by 1654Complex.ofRealSet.Ioi · cited by 1463Set.IoiUnitAddCircle · cited by 157UnitAddCircleWeakFEPair · cited by 51WeakFEPairHurwitzZeta.cosKernel · cited by 15HurwitzZeta.cosKernelHurwitzZeta.evenKernel · cited by 14HurwitzZeta.evenKernelHurwitzZeta.hurwitzEvenFEPairCITED BYCITES

Cites8

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

Cited by25

Results whose statement or proof uses this declaration.