Automorphic forms of higher order

Details Automorphic forms of higher order Automorphic forms of higher order

2008-02-04

arxiv.org/abs/0802.0361v3

Mathematics

Number Theory

LaTeX, 24 pages

Scientific paper

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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