Automorphic forms of higher order
نویسندگان
چکیده
منابع مشابه
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 higher order forms, new convolution products of L-functions are introduced.
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In this paper a theory of Hecke operators for higher order modular forms is established. The definition of cusp forms and attached L-functions is extended beyond the realm of parabolic invariants. 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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متن کامل5 S ep 2 00 8 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 higher order forms, new convolution products of L-functions are introduced.
متن کاملov 2 00 8 Higher order invariants , cohomology , and automorphic forms Anton
A general structure theorem on higher order invariants is proven. For an arithmetic group, the structure of the corresponding Hecke module is determined. It is shown that the module does not contain any irreducible submodule. This explains the fact that L-functions of higher order forms have no Euler-product. Higher order cohomology is introduced, classical results of Borel are generalized and ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2009
ISSN: 0024-6107
DOI: 10.1112/jlms/jdp015