Explore: Bieberbach Conjecture

In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order

obtained results similar to Fatou's. In 1916 he formulated the Bieberbach conjecture, stating a necessary condition for a holomorphic function to map

the long-standing Bieberbach conjecture in 1984, now called de Branges's theorem. He claims to have proved several important conjectures in mathematics,

solution of the Bieberbach conjecture by Louis de Branges in 1985. Loewner himself used his techniques in 1923 for proving the conjecture for the third

which are starlike. Nevanlinna used this criterion to prove the Bieberbach conjecture for starlike univalent functions. A univalent function h on the

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved

Branges's theorem – Statement in complex analysis; formerly the Bieberbach conjecture Koebe quarter theorem – Statement in complex analysis Riemann mapping

Cooks, Douglas Comer, Louis de Branges de Bourcia (who proved the Bieberbach conjecture), Victor Raskin, David Sanders, Leah Jamieson, James L. Mohler (who

was found in 1993. In 2006, Grigori Perelman, who proved the Poincaré conjecture, refused his Fields Medal and did not attend the congress. In 2014, Maryam

hyperbolic manifolds. De Branges' theorem, formerly known as the Bieberbach Conjecture, is an important extension of the lemma, giving restrictions on