Orthogonal Eisenstein series and theta lifts
Abstract
We show that the additive Borcherds lifts of vector-valued non-holomorphic Eisenstein series are orthogonal non-holomorphic Eisenstein series for [Formula: see text]. Using this we give another proof that they have a meromorphic continuation, calculate their Fourier expansion and show that they have a functional equation analogous to the classical case. Moreover, we will investigate the image of Borcherds lift and give a sufficient condition for surjectivity.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 03, 2023
- Source ID
- 10.1142/s1793042123500641
Entities
People
- Paul Kiefer
Organizations
- German Research Foundation
- Naval Medical Research Unit—San Antonio
- Technical University of Darmstadt