Theorems · Theorem · number theory
HurwitzZeta.hasSum_int_completedHurwitzZetaOdd
∀ (a : ℝ) {s : ℂ},
1 < s.re →
HasSum (fun n => (s + 1).Gammaℝ * ↑(SignType.sign (↑n + a)) / ↑|↑n + a| ^ s / 2)
(HurwitzZeta.completedHurwitzZetaOdd (↑a) s)Formula for completedHurwitzZetaOdd as a Dirichlet series in the convergence range.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites46
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by1
Results whose statement or proof uses this declaration.
- HurwitzZeta.hasSum_int_hurwitzZetaOddproof · cited by 1