Generalizing Riemann Hypothesis to L-functions

The Riemann Zeta function plays an important role in analytic number theory and has applications in physics, applied statistics and probability theory. While many of the properties of this function have been investigated, there remain important fundamental conjectures, a most notably the Riemann hypothesis: zeta(s)=0 implies Re(s)=1/2 for positive Re(s). In my thesis a functional analytical characterization of the Riemann hypothesis will be generalized to the so called L-functions.