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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.

Defined in
Mathlib.NumberTheory.LSeries.HurwitzZetaEven
Cited by
1 results in Mathlib
Foundations
Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound

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