| This dissertation studies the question of simultaneous nonvanishing of quadratic twists of the L-series of two GL(2) cuspidal automorphic representation of the adele group of a rational function field at the central point. The main result is that, as expected, there are infinitely many quadratic twists for which both series do not vanish at the central point. The techniques developed here can be adapted to the study of other problems, such as moments of such GL(2) objects or higher moments of GL(1) objects, or for obtaining asymptotic formulas for mean values of these objects. |
