Theorems · Definition · number theory
WeakFEPair.f_modif
{E : Type u_1} → [inst : NormedAddCommGroup E] → [inst_1 : NormedSpace ℂ E] → WeakFEPair E → ℝ → EPiecewise modified version of f with optimal asymptotics. We deliberately choose intervals
which don't quite join up, so the function is 0 at x = 1, in order to maintain symmetry;
there is no "good" choice of value at 1.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- Set.Ioiproof · cited by 1,463
- Set.Iooproof · cited by 1,214
- Set.indicatorproof · cited by 723
- WeakFEPairstatement and proof · cited by 51
- WeakFEPair.εproof · cited by 28
- WeakFEPair.kproof · cited by 26
- WeakFEPair.f₀proof · cited by 24
Cited by8
Results whose statement or proof uses this declaration.
- WeakFEPair.Λ₀proof · cited by 13
- WeakFEPair.hasMellinproof · cited by 3
- WeakFEPair.toStrongFEPairproof · cited by 2
- WeakFEPair.f_modif_aux1statement · cited by 1
- WeakFEPair.f_modif_aux2statement · cited by 1
- WeakFEPair.hf_modif_FEstatement · cited by 0
- WeakFEPair.hf_modif_intstatement · cited by 0
- WeakFEPair.hf_modif_topstatement · cited by 0