Automorphic forms of higher order
- Autores: Anton Deitmar, Nikolaos Diamantis
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 1, 2009, págs. 18-34
- Idioma: inglés
- DOI: 10.1112/jlms/jdp015
- Enlaces
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Resumen
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.
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