That theorem named for this mathematician was generalized to the "uniformization theorem" by Felix Klein, and states that there is a bio·holo·morphic mapping from a non-empty simply connected open subset of the complex plane to the open unit disk.
A "combinatorial" version of a theorem named for this man was first proved by James Cannon, who did so by decomposing actions on a certain object to actions that have undergone Mobius transformations. That theorem named for this mathematician can be extended to both one-sided and two-sided boundary arcs by making use of the Schwartz reflection principle, and is used to build analytic continuations. That theorem named for this mathematician was generalized to the "uniformization theorem" by Felix Klein, and states that there is a bio·holo·morphic mapping from a non-empty simply connected open subset of the complex plane to the open unit disk. A pair of differential equations named for this man and Cauchy gives necessary and sufficient conditions for functions to be complex differentiable. For 10 points, identify this German mathematician who names a "zeta" function.
A "combinatorial" version of a theorem named for this man was first proved by James Cannon, who did so by decomposing actions on a certain object to actions that have undergone Mobius transformations.
Bernhard Riemann [or Georg Friedrich Bernhard Riemann; or Riemann mapping theorem]