Theorems · Theorem · number theory
HurwitzZeta.hurwitzZetaEven_def_of_ne_or_ne
∀ {a : UnitAddCircle} {s : ℂ},
a ≠ 0 ∨ s ≠ 0 → HurwitzZeta.hurwitzZetaEven a s = HurwitzZeta.completedHurwitzZetaEven a s / s.Gammaℝ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- neg_zeroproof · cited by 542
- AddSubgroup.zmultiplesstatement · cited by 493
- div_zeroproof · cited by 251
- zero_divproof · cited by 222
- Function.update_selfproof · cited by 201
- Function.update_of_neproof · cited by 198
- UnitAddCirclestatement and proof · cited by 157
Cited by4
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzZetaEven_one_subproof · cited by 3
- HurwitzZeta.hurwitzZetaEven_residue_oneproof · cited by 2
- HurwitzZeta.cosZeta_one_subproof · cited by 1
- ZMod.LFunction_eq_completed_div_gammaFactor_evenproof · cited by 1