Theorems · Theorem · number theory
WeakFEPair.functional_equation
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] (P : WeakFEPair E) (s : ℂ),
P.Λ (↑P.k - s) = P.ε • P.symm.Λ sFunctional equation formulated for Λ.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 286 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Algebra.algebraMapproof · cited by 4,706
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Nat.cast_zeroproof · cited by 1,870
- Complex.ofRealstatement and proof · cited by 1,654
- mul_inv_cancel₀proof · cited by 210
- eq_natCastproof · cited by 104
Cited by2
Results whose statement or proof uses this declaration.
- HurwitzZeta.completedHurwitzZetaEven_one_subproof · cited by 3
- HurwitzZeta.completedHurwitzZetaOdd_one_subproof · cited by 1