Theorems · Definition · number theory
bernoulliFun
ℕ → ℝ → ℝ
The function x ↦ Bₖ(x) : ℝ → ℝ.
- Defined in
- Mathlib.NumberTheory.ZetaValues
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 111 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
- Algebra.algebraMapproof · cited by 4,706
- Polynomial.mapproof · cited by 806
- Polynomial.evalproof · cited by 796
- Polynomial.bernoulliproof · cited by 41
Cited by29
Results whose statement or proof uses this declaration.
- hasDerivAt_bernoulliFunstatement and proof · cited by 5
- bernoulliFourierCoeffproof · cited by 4
- continuous_bernoulliFunstatement · cited by 3
- periodizedBernoulliproof · cited by 3
- bernoulliFun_eval_onestatement and proof · cited by 3
- bernoulliFun_eval_zerostatement · cited by 3
- hasSum_one_div_nat_pow_mul_cosproof · cited by 2
- hasSum_one_div_nat_pow_mul_fourierstatement and proof · cited by 2
- hasSum_one_div_nat_pow_mul_sinproof · cited by 2
- integral_bernoulliFun_eq_zerostatement · cited by 2
- bernoulliFourierCoeff_recurrenceproof · cited by 2
- bernoulliFun_endpoints_eq_of_ne_onestatement and proof · cited by 2