DirichletCharacter.LSeriesSummable_iff

∀ {N : ℕ}, N ≠ 0 → ∀ (χ : DirichletCharacter ℂ N) {s : ℂ}, LSeriesSummable (fun n => χ ↑n) s ↔ 1 < s.re

The L-series of a Dirichlet character mod N > 0 converges absolutely at s if and only if re s > 1.

Defined in: Mathlib.NumberTheory.LSeries.Dirichlet
Cited by: 3 results in Mathlib
Foundations: Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

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