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Eisenstein series on rank 2 hyperbolic Kac-Moody groups
Journal article   Peer reviewed

Eisenstein series on rank 2 hyperbolic Kac-Moody groups

Lisa Carbone, Kyu-Hwan Lee and Dongwen Liu
Mathematische annalen, Vol.367(3-4), pp.1173-1197
04/01/2017
DOI: https://doi.org/10.1007/s00208-016-1428-8

Abstract

Mathematics Physical Sciences Science & Technology
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.

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