Theorems · Theorem · number theory
HurwitzZeta.hasSum_int_completedHurwitzZetaEven
∀ (a : ℝ) {s : ℂ},
1 < s.re → HasSum (fun n => s.Gammaℝ / ↑|↑n + a| ^ s / 2) (HurwitzZeta.completedHurwitzZetaEven (↑a) s)Formula for completedHurwitzZetaEven as a Dirichlet series in the convergence range.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites39
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_hurwitzZetaEvenproof · cited by 1