Theorems · Theorem · number theory
two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even
∀ {k : ℕ}, 2 ≤ k → Even k → 2 * riemannZeta ↑k = ∑' (n : ℤ), (↑n ^ k)⁻¹- Defined in
- Mathlib.NumberTheory.LSeries.RiemannZeta
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 306 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- Monoidproof · cited by 3,887
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Nat.cast_zeroproof · cited by 1,870
- tsumstatement and proof · cited by 1,148
- Summableproof · cited by 778
- one_divproof · cited by 624
- Nat.cast_addproof · cited by 586
- Evenstatement and proof · cited by 444
Cited by2
Results whose statement or proof uses this declaration.
- tsum_eisSummand_eq_tsum_sigma_mul_cexp_powproof · cited by 1
- EisensteinSeries.e2Summand_zero_eq_two_riemannZeta_twoproof · cited by 0