From 6610fd49b04ccea5937aea5c556f3f6bb3f37146 Mon Sep 17 00:00:00 2001 From: Stefan Kebekus Date: Fri, 13 Sep 2024 09:21:57 +0200 Subject: [PATCH] =?UTF-8?q?working=E2=80=A6?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Nevanlinna/firstMain.lean | 17 +++++++++++++++++ lake-manifest.json | 16 +++++++++++++--- 2 files changed, 30 insertions(+), 3 deletions(-) create mode 100644 Nevanlinna/firstMain.lean diff --git a/Nevanlinna/firstMain.lean b/Nevanlinna/firstMain.lean new file mode 100644 index 0000000..0bdc7d4 --- /dev/null +++ b/Nevanlinna/firstMain.lean @@ -0,0 +1,17 @@ +import Nevanlinna.holomorphic_JensenFormula + +open Real + +variable {f : ℂ → ℂ} +variable {h₁f : AnalyticOn ℂ f ⊤} +variable {h₂f : f 0 ≠ 0} + +noncomputable def unintegratedCounting : ℝ → ℕ := by + intro r + let A := h₁f.mono (by tauto : Metric.closedBall (0 : ℂ) r ⊆ ⊤) + exact ∑ᶠ z, (A.order z).toNat + +noncomputable def integratedCounting : ℝ → ℝ := 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) diff --git a/lake-manifest.json b/lake-manifest.json index 2c44ff7..6238b47 100644 --- a/lake-manifest.json +++ b/lake-manifest.json @@ -5,7 +5,7 @@ "type": "git", "subDir": null, "scope": "leanprover-community", - "rev": "8feac540abb781cb1349688c816dc02fae66b49c", + "rev": "46fed98b5cac2b1ea64e363b420c382ed1af0d85", "name": "batteries", "manifestFile": "lake-manifest.json", "inputRev": "main", @@ -25,7 +25,7 @@ "type": "git", "subDir": null, "scope": "leanprover-community", - "rev": "e291aa4de57079b3d2199b9eb7b4b00922b85a7c", + "rev": "662f986ad3c5ad6ab1a1726b3c04f5ec425aa9f7", "name": "aesop", "manifestFile": "lake-manifest.json", "inputRev": "master", @@ -61,11 +61,21 @@ "inputRev": "main", "inherited": true, "configFile": "lakefile.toml"}, + {"url": "https://github.com/siddhartha-gadgil/LeanSearchClient.git", + "type": "git", + "subDir": null, + "scope": "", + "rev": "c260ed920e2ebd23ef9fc8ca3fd24115e04c18b1", + "name": "LeanSearchClient", + "manifestFile": "lake-manifest.json", + "inputRev": "main", + "inherited": true, + "configFile": "lakefile.toml"}, {"url": "https://github.com/leanprover-community/mathlib4.git", "type": "git", "subDir": null, "scope": "", - "rev": "8c811c94af285516e8c76a63165c87027f18ccd0", + "rev": "4e40837aec257729b3c38dc3e635fc64a7a8a8c1", "name": "mathlib", "manifestFile": "lake-manifest.json", "inputRev": null,