Theorems · Theorem · number theory
HurwitzZeta.hasSum_nat_hurwitzZetaOdd
∀ (a : ℝ) {s : ℂ},
1 < s.re →
HasSum
(fun n => (↑(SignType.sign (↑n + a)) / ↑|↑n + a| ^ s - ↑(SignType.sign (↑n + 1 - a)) / ↑|↑n + 1 - a| ^ s) / 2)
(HurwitzZeta.hurwitzZetaOdd (↑a) s)Formula for hurwitzZetaOdd as a Dirichlet series in the convergence range, with sum over ℕ
(version with absolute values)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites32
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Cited by1
Results whose statement or proof uses this declaration.
- HurwitzZeta.hasSum_nat_hurwitzZetaOdd_of_mem_Iccproof · cited by 1