ArithmeticFunction.LSeries_zeta_mul_Lseries_moebius

∀ {s : ℂ},
  1 < s.re →
    LSeries (fun n => ↑(ArithmeticFunction.zeta n)) s * LSeries (fun n => ↑(ArithmeticFunction.moebius n)) s = 1

The L-series of the arithmetic function ζ and of the Möbius function are inverses.

Defined in: Mathlib.NumberTheory.LSeries.Dirichlet
Cited by: 2 results in Mathlib
Foundations: Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound

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