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Theorems · Definition · number theory

WeakFEPair.symm

{E : Type u_1} → [inst : NormedAddCommGroup E] → [inst_1 : NormedSpace ℂ E] → WeakFEPair E → WeakFEPair E

The hypotheses are symmetric in f and g, with the constant ε replaced by ε⁻¹.

Defined in
Mathlib.NumberTheory.LSeries.AbstractFuncEq
Cited by
24 results in Mathlib
Foundations
Depth 244 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpace

Around this declaration

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

HurwitzZeta.completedCosZeta · cited by 19HurwitzZeta.completedCosZ…HurwitzZeta.completedSinZeta · cited by 10HurwitzZeta.completedSinZ…HurwitzZeta.completedCosZeta₀ · cited by 7HurwitzZeta.completedCosZ…HurwitzZeta.completedHurwitzZetaEven_one_sub · cited by 3HurwitzZeta.completedHurw…WeakFEPair.functional_equation · cited by 2WeakFEPair.functional_equ…WeakFEPair.functional_equation₀ · cited by 2WeakFEPair.functional_equ…WeakFEPair.hf_zero · cited by 2WeakFEPair.hf_zeroHurwitzZeta.completedHurwitzZetaEven₀_one_sub · cited by 2HurwitzZeta.completedHurw…WeakFEPair.toStrongFEPair · cited by 2WeakFEPair.toStrongFEPairHurwitzZeta.hasSum_int_completedCosZeta · cited by 2HurwitzZeta.hasSum_int_co…IsStrongFEPair.symm · cited by 2IsStrongFEPair.symmIsStrongFEPair.symm_Λ_eq · cited by 2IsStrongFEPair.symm_Λ_eqHurwitzZeta.hurwitzEvenFEPair_zero_symm · cited by 2HurwitzZeta.hurwitzEvenFE…HurwitzZeta.completedCosZeta_neg · cited by 1HurwitzZeta.completedCosZ…HurwitzZeta.completedCosZeta_residue_zero · cited by 1HurwitzZeta.completedCosZ…NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceComplex · cited by 5565ComplexWeakFEPair · cited by 51WeakFEPairWeakFEPair.ε · cited by 28WeakFEPair.εWeakFEPair.k · cited by 26WeakFEPair.kWeakFEPair.f₀ · cited by 24WeakFEPair.f₀WeakFEPair.g₀ · cited by 23WeakFEPair.g₀WeakFEPair.f · cited by 23WeakFEPair.fWeakFEPair.g · cited by 13WeakFEPair.gWeakFEPair.hk · cited by 6WeakFEPair.hkWeakFEPair.hf_top · cited by 5WeakFEPair.hf_topWeakFEPair.hf_int · cited by 4WeakFEPair.hf_intWeakFEPair.h_feq' · cited by 3WeakFEPair.h_feq'WeakFEPair.hg_top · cited by 3WeakFEPair.hg_topWeakFEPair.symmCITED BYCITES

Cites16

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Cited by28

Results whose statement or proof uses this declaration.