Skip to main content

Research Repository

Advanced Search

Automorphic forms of higher order

Deitmar, Anton; Diamantis, Nikolaos

Authors

Anton Deitmar



Abstract

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.

Citation

Deitmar, A., & Diamantis, N. Automorphic forms of higher order. Journal of the London Mathematical Society, 80(1), https://doi.org/10.1112/jlms/jdp015

Journal Article Type Article
Deposit Date Apr 8, 2014
Publicly Available Date Mar 29, 2024
Journal Journal of the London Mathematical Society
Print ISSN 0024-6107
Electronic ISSN 0024-6107
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 80
Issue 1
DOI https://doi.org/10.1112/jlms/jdp015
Public URL https://nottingham-repository.worktribe.com/output/1014335
Publisher URL http://jlms.oxfordjournals.org/content/80/1/18.abstract
Additional Information Copyright: London Mathematical Society

Files





You might also like



Downloadable Citations