RIGID-ANALYTIC L - TRANSFORMS

摘要

In this talk I want to present a new method of defining p-adic L-functions for a certain class of elliptic curves. In the first section we shortly review the general philosophy of complex and p-adic L-functions and then explain the idea of the method which is based on the notion of a rigid-analytic automorphic form. The construction of a p-adic L-function associated with such an automorphic form is carried out in the second section.