HurwitzZeta.hasSum_nat_hurwitzZetaEven

∀ (a : ℝ) {s : ℂ},
  1 < s.re → HasSum (fun n => (1 / ↑|↑n + a| ^ s + 1 / ↑|↑n + 1 - a| ^ s) / 2) (HurwitzZeta.hurwitzZetaEven (↑a) s)

Formula for hurwitzZetaEven as a Dirichlet series in the convergence range, with sum over ℕ (version with absolute values)

Defined in: Mathlib.NumberTheory.LSeries.HurwitzZetaEven
Cited by: 1 results in Mathlib
Foundations: Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.