Universität zu Köln

Deppe, Holger (2016). p-ADIC L-FUNCTIONS OF AUTOMORPHIC FORMS AND EXCEPTIONAL ZEROS. Doc. Math., 21. S. 689 - 735. BIELEFELD: UNIV BIELEFELD. ISSN 1431-0643

Full text not available from this repository.

Abstract

We construct p-adic L-functions for automorphic representations of GL(2) of a number field F, and show that the corresponding p-adic L-function of a modular elliptic curve E over F has an extra zero at the central point for each prime above p at which E has split multiplicative reduction, a part of the exceptional zero conjecture.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Deppe, Holger UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-288508
Journal or Publication Title:	Doc. Math.
Volume:	21
Page Range:	S. 689 - 735
Date:	2016
Publisher:	UNIV BIELEFELD
Place of Publication:	BIELEFELD
ISSN:	1431-0643
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MODULAR-FORMS; CURVES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28850