Eisenstein series for O(2,n+2)

arXiv (Cornell University)

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 Maaß space. If the underlying lattice is even and unimodular, this leads to an explicit formula of the Fourier coefficients.

Authors 3

1. Aloys Krieg Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik , RWTH Aachen University , D-52056 Aachen ,

2. Felix Schaps Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik , RWTH Aachen University , D-52056 Aachen ,

3. Hannah Römer