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
• Journal: Journal of the London Mathematical Society
• Print ISSN: 0024-6107
• Electronic ISSN: 1469-7750
• 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