English

Eisenstein series for O(2,n+2)

Number Theory 2023-08-22 v1

Abstract

We will characterize the Eisenstein series for O(2, n + 2) as a particular Hecke eigenform. As an application we show that it belongs to the associated Maa{\ss} space. If the underlying lattice is even and unimodular, this leads to an explicit formula of the Fourier coefficients.

Keywords

Cite

@article{arxiv.2308.10709,
  title  = {Eisenstein series for O(2,n+2)},
  author = {Aloys Krieg and Felix Schaps and Hannah Römer},
  journal= {arXiv preprint arXiv:2308.10709},
  year   = {2023}
}
R2 v1 2026-06-28T12:00:25.825Z