Theorems · Theorem · complex analysis
ValueDistribution.circleIntegrable_logCounting
∀ {f : ℂ → ℂ} {R : ℝ}, Meromorphic f → CircleIntegrable (fun x => ValueDistribution.logCounting f (↑x) R) 0 1Circle integrability of the term logCounting f · R that appears in Cartan's formula.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 301 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupproof · cited by 15,752
- Top.topproof · cited by 9,680
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- WithTop.somestatement and proof · cited by 1,128
- Real.logproof · cited by 939
- Meromorphicstatement and proof · cited by 108
- Real.circleAverageproof · cited by 106
- CircleIntegrablestatement and proof · cited by 86
- meromorphicTrailingCoeffAtproof · cited by 61
- ValueDistribution.logCountingstatement and proof · cited by 45
Cited by2
Results whose statement or proof uses this declaration.
- ValueDistribution.characteristic_top_eq_circleAverage_add_circleAverageproof · cited by 3
- ValueDistribution.characteristic_monotoneOnproof · cited by 0