Theorems · Definition · number theory
HurwitzZeta.hurwitzZetaOdd
UnitAddCircle → ℂ → ℂ
The odd part of the Hurwitz zeta function, i.e. the meromorphic function of s which agrees
with 1 / 2 * ∑' (n : ℤ), sign (n + a) / |n + a| ^ s for 1 < re s
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- UnitAddCirclestatement and proof · cited by 157
- Complex.Gammaℝproof · cited by 60
- HurwitzZeta.completedHurwitzZetaOddproof · cited by 15
Cited by22
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzZetaproof · cited by 19
- HurwitzZeta.differentiable_hurwitzZetaOddstatement · cited by 5
- HurwitzZeta.hurwitzZetaOdd_negstatement · cited by 5
- ZMod.LFunction_def_evenproof · cited by 3
- HurwitzZeta.hurwitzZetaOdd_one_substatement and proof · cited by 2
- HurwitzZeta.hurwitzZeta_zeroproof · cited by 2
- ZMod.LFunction_def_oddstatement and proof · cited by 2
- HurwitzZeta.hurwitzZetaOdd_neg_two_mul_nat_sub_onestatement · cited by 1
- HurwitzZeta.hurwitzZeta_one_subproof · cited by 1
- HurwitzZeta.hurwitzZeta_residue_oneproof · cited by 1
- HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_reproof · cited by 1
- HurwitzZeta.hasSum_int_hurwitzZetaOddstatement · cited by 1