Theorems · Definition · number theory
Polynomial.bernoulli
ℕ → Polynomial ℚ
The Bernoulli polynomials are defined in terms of the negative Bernoulli numbers.
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Polynomialstatement · cited by 5,681
- Finset.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
- Nat.chooseproof · cited by 494
- Polynomial.monomialproof · cited by 256
- bernoulliproof · cited by 42
Cited by42
Results whose statement or proof uses this declaration.
- bernoulliFunproof · cited by 27
- Polynomial.bernoulli_zerostatement · cited by 6
- hasDerivAt_bernoulliFunproof · cited by 5
- Polynomial.bernoulli_defstatement and proof · cited by 4
- Polynomial.bernoulli_eval_zerostatement and proof · cited by 3
- continuous_bernoulliFunproof · cited by 3
- hasSum_zeta_natproof · cited by 3
- bernoulliFun_eval_oneproof · cited by 3
- bernoulliFun_eval_zeroproof · cited by 3
- Polynomial.bernoulli_comp_neg_Xstatement and proof · cited by 2
- Polynomial.bernoulli_comp_one_add_Xstatement and proof · cited by 2
- Polynomial.bernoulli_comp_one_sub_Xstatement and proof · cited by 2