Eisenstein series on affine Kac-Moody groups over function fields

Kyu-Hwan Lee; Philip Lombardo

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arXiv · 1208.4006

Eisenstein series on affine Kac-Moody groups over function fields

Kyu-Hwan Lee·Philip Lombardo

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Abstract

H. Garland constructed Eisenstein series on affine Kac-Moody groups over the field of real numbers. He established the almost everywhere convergence of these series, obtained a formula for their constant terms, and proved a functional equation for the constant terms. In a subsequent paper, the convergence of the Eisenstein series was obtained. In this paper, we define Eisenstein series on affine Kac-Moody groups over global function fields using an adelic approach. In the course of proving the convergence of these Eisenstein series, we also calculate a formula for the constant terms and prove their convergence and functional equations.

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BibTeX RIS

Kyu-Hwan Lee, Philip Lombardo. 2012-08-20. Eisenstein series on affine Kac-Moody groups over function fields. https://arxiv.org/abs/1208.4006

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