| Asymptotics for integral moments of automorphic L-functions are highly non-trivial to obtain, but have serious implications. Suitable asymptotics for integral moments of L-functions would prove the Lindelof Hypothesis. Conjectures for moments of L-functions were initiated by Hardy and Littlewood in 1918. Subconvexity bounds in a given aspect have geometric and number-theoretic applications and are sufficient for providing solutions to many problems.;In this thesis, we develop asymptotics for the second integral moments of families of automorphic L-functions for GL 2 over an arbitrary number field. These L-functions are twisted by idele class characters chi. The weight functions are derived from archimedean data as well as data associated with a finite prime at which chi has arbitrary ramification. We break convexity at this non-archimedean place. |
