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arXiv · 1306.3280

Eisenstein series on rank 2 hyperbolic Kac--Moody groups

Lisa Carbone·Kyu-Hwan Lee·Dongwen Liu
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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.

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BibTeXRIS

Lisa Carbone, Kyu-Hwan Lee, Dongwen Liu. 2015-07-06. Eisenstein series on rank 2 hyperbolic Kac--Moody groups. https://arxiv.org/abs/1306.3280

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