Any open proper subset of C can be put into an analytic isomorphism with the open unit disk as a result of this man's namesake Open Mapping Theorem. Conditions for the differentiability of a function 
Any open proper subset of C can be put into an analytic isomorphism with the open unit disk as a result of this man's namesake Open Mapping Theorem. Conditions for the differentiability of a function of complex variables are given by equations named for Cauchy and this man. An object co-named with Stieltjes is a generalization of an object named for him, but is less general than the Lesbesgue one. This man's hypothesis is connected to the distribution of prime numbers and concerns the location of the nontrivial zeroes of this man's Zeta function. For 10 points, name this German mathematician whose namesake integral is the limit of his namesake sums.
Any open proper subset of C can be put into an analytic isomorphism with the open unit disk as a result of this man's namesake Open Mapping Theorem.
Georg Friedrich Bernhard Riemann