Eisenstein series on rank 2 hyperbolic Kac--Moody groups
Representation Theory
2015-07-07 v3 High Energy Physics - Theory
Number Theory
Abstract
We define Eisenstein series on rank 2 hyperbolic Kac--Moody groups over R, induced from quasi--characters. We prove convergence of the constant term and hence the almost everywhere convergence of the Eisenstein series. We define and calculate the degenerate Fourier coefficients. We also consider Eisenstein series induced from cusp forms and show that these are entire functions.
Keywords
Cite
@article{arxiv.1306.3280,
title = {Eisenstein series on rank 2 hyperbolic Kac--Moody groups},
author = {Lisa Carbone and Kyu-Hwan Lee and Dongwen Liu},
journal= {arXiv preprint arXiv:1306.3280},
year = {2015}
}