@article { , title = {Automorphic forms of higher order}, abstract = {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.}, doi = {10.1112/jlms/jdp015}, eissn = {0024-6107}, issn = {0024-6107}, issue = {1}, journal = {Journal of the London Mathematical Society}, publicationstatus = {Published}, publisher = {Wiley}, url = {https://nottingham-repository.worktribe.com/output/1014335}, volume = {80}, author = {Deitmar, Anton and Diamantis, Nikolaos} }