Theorems · Theorem · complex analysis

ValueDistribution.logCounting_eventually_nonneg

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [inst_1 : ProperSpace 𝕜] {E : Type u_2}
  [inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {f : 𝕜 → E} {e : WithTop E},
  0 ≤ᶠ[Filter.atTop] ValueDistribution.logCounting f e

The logarithmic counting function is asymptotically non-negative.

Defined in

Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic

Cited by

0 results in Mathlib

Foundations

Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldProperSpaceNormedAddCommGroupNormedSpace