Theorems · Theorem · number theory
integral_bernoulliFun_eq_zero
∀ {k : ℕ}, k ≠ 0 → ∫ (x : ℝ) in 0..1, bernoulliFun k x = 0- Defined in
- Mathlib.NumberTheory.ZetaValues
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- intervalIntegralstatement · cited by 546
- bernoulliFunstatement · cited by 27
- integral_bernoulliFunproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- bernoulliFourierCoeff_zeroproof · cited by 1
- bernoulliFun_mulproof · cited by 1