English

Automorphic forms of higher order

Number Theory 2017-09-04 v4

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.

Keywords

Cite

@article{arxiv.0802.0361,
  title  = {Automorphic forms of higher order},
  author = {Anton Deitmar and Nikolaos Diamantis},
  journal= {arXiv preprint arXiv:0802.0361},
  year   = {2017}
}

Comments

LaTeX, 24 pages

R2 v1 2026-06-21T10:09:13.157Z