%0 Journal Article %T Automorphic forms of higher order %A Anton Deitmar %A Nikolaos Diamantis %J Mathematics %D 2008 %I arXiv %R 10.1112/jlms/jdp015 %X 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. %U http://arxiv.org/abs/0802.0361v3