Automorphic forms of higher order

Abstract

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.

LaTeX, 24 pages

Cited by in corpus (3)

• Arithmetic statistics of modular symbols
• Dissolving cusp forms: Higher order Fermi's Golden Rules
• Iterated Integrals and higher order invariants