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WikipediaComplex analysis

Bloch and Landau constants

In [Ra43], Rademacher says that he strongly believed that this upper bound is the precise value of the Landau constant.

Mathematical statement

In [Ra43], Rademacher says that he strongly believed that this upper bound is the precise value of the Landau constant.

Statement source: Wikipedia statement material

Statement terms: CC-BY-SA-4.0

Attributed source material. Reuse must follow the linked attribution and share-alike terms.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

landauConstant_exact_value

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem landauConstant_exact_value :    landauConstant = Real.Gamma (1 / 3) * Real.Gamma (5 / 6) / Real.Gamma (1 / 6) := by  sorry
Statement source
Formal Conjectures
Lean version
v4.27.0
Placeholder
Present; no proof artifact
Source evidence
Pinned source index
Fidelity review
Community formulation

References