1306.3280 (Lisa Carbone et al.)

Eisenstein series on rank 2 hyperbolic Kac--Moody groups over R    [PDF]

Lisa Carbone, Kyu-Hwan Lee, Dongwen Liu

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. Then we calculate other Fourier coefficients of the series. We also consider Eisenstein series induced from cusp forms and show that these are entire functions.

View original: http://arxiv.org/abs/1306.3280