Anton Deitmar
Automorphic forms of higher order
Deitmar, Anton; Diamantis, Nikolaos
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 |
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