nevanlinna/Nevanlinna/firstMain.lean

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import Mathlib.Analysis.Analytic.Meromorphic
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import Nevanlinna.holomorphic_JensenFormula
open Real
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variable (f : )
variable {h₁f : MeromorphicOn f }
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variable {h₂f : f 0 ≠ 0}
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noncomputable def Nevanlinna.n : := by
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intro r
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have : MeromorphicAt f z := by
exact h₁f (sorryAx true) trivial
exact ∑ᶠ z ∈ Metric.ball (0 : ) r, (h₁f z trivial).order
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noncomputable def integratedCounting : := by
intro r
-- Issue here: for s on the boundary of the ball, zero comes out.
exact ∑ᶠ s, (h₁f.order s).toNat * log (r * ‖s.1‖⁻¹)