Bloch and Landau constants

formal-conjectures · wikipedia · ams-30

Ahlfors and Grunsky also conjectured in [AG37] that this upper bound is the precise value of the
Bloch constant.

Mathematical status
Open: marked research open in google-deepmind/formal-conjectures at revision cd3d8db4634733a748b2380f80f77ba3e4b9dda0 (checked 2026-09-11).

Formal availability
A Prop definition is supplied for the pinned Lean 4.33.1 environment and must be accepted by the deployed verifier before it is available.

Sources and provenance
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://en.wikipedia.org/wiki/Bloch%27s_theorem_
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://teorth.github.io/optimizationproblems/constants/57c.html
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://mathworld.wolfram.com/BlochConstant.html
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/improved-bloch-and-landau-constants-for-meromorphic-functions/FD465D1F2CEF7E8C62AFF16C3E89B7B4
Formal statement provenance (Apache-2.0) (checked 2026-09-11): https://github.com/google-deepmind/formal-conjectures/blob/cd3d8db4634733a748b2380f80f77ba3e4b9dda0/FormalConjectures/Wikipedia/Bloch.lean
Local target: Corpus.WikipediaBloch.blochConstant_exact_value
Source SHA-256: 8e45274fc6545a75242c56c6dc5e723b9031a0818e0cfba110cb8eebae6f9b66
Lean v4.33.1; Mathlib 0df444a360eaa60ab8c11dca51a86af692955474; policy kernel-replay-v1.
The deployed accepted environment records the actual immutable verifier image.

Research discussions are not verified proofs. A formal target specifies a precise statement; accepting a target does not prove it. Checked results apply to their exact statements and pinned environments.

Public JSON record