Automorphic forms of higher order
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 hig...
| Main Authors: | , |
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| Format: | Article |
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Oxford University Press for the London Mathematical Society
2009
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| Online Access: | https://eprints.nottingham.ac.uk/2371/ |
| _version_ | 1848790767781281792 |
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| author | Deitmar, Anton Diamantis, Nikolaos |
| author_facet | Deitmar, Anton Diamantis, Nikolaos |
| author_sort | Deitmar, Anton |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:17:51Z |
| format | Article |
| id | nottingham-2371 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:17:51Z |
| publishDate | 2009 |
| publisher | Oxford University Press for the London Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-23712020-05-04T20:26:43Z https://eprints.nottingham.ac.uk/2371/ Automorphic forms of higher order Deitmar, Anton Diamantis, Nikolaos 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. Oxford University Press for the London Mathematical Society 2009 Article PeerReviewed Deitmar, Anton and Diamantis, Nikolaos (2009) Automorphic forms of higher order. Journal of the London Mathematical Society, 80 (1). pp. 18-34. ISSN 0024-6107 http://jlms.oxfordjournals.org/content/80/1/18.abstract doi:10.1112/jlms/jdp015 doi:10.1112/jlms/jdp015 |
| spellingShingle | Deitmar, Anton Diamantis, Nikolaos Automorphic forms of higher order |
| title | Automorphic forms of higher order |
| title_full | Automorphic forms of higher order |
| title_fullStr | Automorphic forms of higher order |
| title_full_unstemmed | Automorphic forms of higher order |
| title_short | Automorphic forms of higher order |
| title_sort | automorphic forms of higher order |
| url | https://eprints.nottingham.ac.uk/2371/ https://eprints.nottingham.ac.uk/2371/ https://eprints.nottingham.ac.uk/2371/ |