p-adic L-functions of automorphic forms

Let F be a number field, p a prime number. To an (adelic) automorphic representation of GL2 over F (with certain conditions at places above p and ∞) we construct a p-adic L-function which interpolates the complex (Jacquet-Langlands) L-function at the central critical point. This is a generalization of a construction by Spieß over totally real fields. It seems well-suited to generalize his proof of the exceptional zero conjecture, which describes the order of vanishing of the p-adic L-function of an elliptic curve over F in terms of the Hasse-Weil L-function.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Bielefeld

Year

2013

Author dc:creator

• Deppe, Holger

Repository record source_url

https://pub.uni-bielefeld.de/record/2629389

OAI identifier oai:identifier

oai:pub.uni-bielefeld.de:2629389