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Theorems · Theorem · number theory

HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re

∀ {a : ℝ}, a ∈ Set.Icc 0 1 → ∀ {s : ℂ}, 1 < s.re → HasSum (fun n => 1 / (↑n + ↑a) ^ s) (HurwitzZeta.hurwitzZeta (↑a) s)

Formula for hurwitzZeta s as a Dirichlet series in the convergence range. We restrict to a ∈ Icc 0 1 to simplify the statement.

Defined in
Mathlib.NumberTheory.LSeries.HurwitzZeta
Cited by
1 results in Mathlib
Foundations
Depth 307 from the axioms · uses propext, Classical.choice, Quot.sound

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