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- Title
Orthogonal Eisenstein series and theta lifts.
- Authors
Kiefer, Paul
- Abstract
We show that the additive Borcherds lifts of vector-valued non-holomorphic Eisenstein series are orthogonal non-holomorphic Eisenstein series for O (2 , l). 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.
- Subjects
EISENSTEIN series; FUNCTIONAL equations; SURJECTIONS
- Publication
International Journal of Number Theory, 2023, Vol 19, Issue 6, p1305
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S1793042123500641