One theorem named for this man means that for any simply connected open proper subset of the complex plane, there exists a bijective analytic map from it to the open unit circle about the origin.  Manifolds with a smooth inner product are named for him.  He and Cauchy name a set of differential equations used in determining whether a function is holomorphic.  He is also known for a function for which a namesake hypothesis states that all trivial non-zeros of the function have real part one-half.  For 10 points, name thi
One theorem named for this man means that for any simply connected open proper subset of the complex plane, there exists a bijective analytic map from it to the open unit circle about the origin.  Manifolds with a smooth inner product are named for him.  He and Cauchy name a set of differential equations used in determining whether a function is holomorphic.  He is also known for a function for which a namesake hypothesis states that all trivial non-zeros of the function have real part one-half.  For 10 points, name this formulator of a zeta function and a method of integration which involves using his namesake sums.
One theorem named for this man means that for any simply connected open proper subset of the complex plane, there exists a bijective analytic map from it to the open unit circle about the origin.  
Bernhard Riemann