Skip Navigation



Journal of the London Mathematical Society Advance Access published online on May 8, 2009
Journal of the London Mathematical Society, doi:10.1112/jlms/jdp015
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
80/1/18    most recent
jdp015v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Deitmar, A.
Right arrow Articles by Diamantis, N.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

Automorphic forms of higher order

Anton Deitmar

Mathematisches Institut
Auf der Morgenstelle 10
72076 Tübingen
Germany

Nikolaos Diamantis

School of Mathematical Sciences
University of Nottingham
University Park
Nottingham
NG7 2RD
United Kingdom
nikolaos.diamantis@maths.nottingham.ac.uk

In this paper a theory of Hecke operators for higher-order modular forms is established. The definition of higher-order forms is extended beyond the realm of parabolic invariants. A canonical inner product is introduced. The role of representation theoretic methods is clarified and, motivated by higher-order forms, new convolution products of L-functions are introduced.

The first author was supported by DFG grant DE 436/7-1, and the second author was partially supported by EPSRC grant EP/D032350/1.

2000 Mathematics Subject Classification 11F12 (primary), 11F25, 11F66, 11F99 (secondary).

Received March 22, 2008; revised February 6, 2009;
Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.