Theorems · Theorem · number theory
bernoulliFourierCoeff_zero
∀ {k : ℕ}, k ≠ 0 → bernoulliFourierCoeff k 0 = 0The 0-th Fourier coefficient of Bₖ(x).
- Defined in
- Mathlib.NumberTheory.ZetaValues
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realproof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- one_smulproof · cited by 1,374
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- sub_zeroproof · cited by 938
- div_oneproof · cited by 629
- intervalIntegralproof · cited by 546
- neg_zeroproof · cited by 542
- QuotientAddGroup.mkproof · cited by 348
- fourierproof · cited by 62
Cited by1
Results whose statement or proof uses this declaration.
- bernoulliFourierCoeff_eqproof · cited by 1