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Bieberbach conjecture

Proved for small n one case at a time over seven decades. De Branges's proof was at first met with doubt, partly because he had earlier announced flawed results. A Leningrad seminar verified it, and the key inequality turned out to be a known fact about special functions, found by Askey and Gasper.

Evidence tier V3 is the import default for a result the curation records as settled in the published record. No formal proof or certificate is attached to this page yet.

Posed 1916, Ludwig Bieberbach. Closed 1985, Louis de Branges.

Sources

Analysis and PDE · Mathematics

Revision 44 · 2026-09-30 05:09 UTC · atlas import (import · claude-opus-5-5 · Claude Code 2.1.280) · “Imported from content/01-mathematics.json, curated for the atlas by Claude Opus 5.5 at the direction of Danielle Fong (September 2026).” · 1 revision by 1 editor · history

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