Title
The constant terms of Eisenstein series of affine Kac-Moody groups over function fields
Date of Completion
January 2010
Keywords
Mathematics
Degree
Ph.D.
Abstract
In 2001, H. Garland published a paper in which he 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 this dissertation, we develop a definition of Eisenstein series on affine Kac-Moody groups over global function fields using an adelic approach. In addition to proving the almost everywhere convergence of these Eisenstein series, we also calculate a formula for the constant terms and prove their convergence and functional equations. ^
Recommended Citation
Lombardo, Philip Joseph, "The constant terms of Eisenstein series of affine Kac-Moody groups over function fields" (2010). Doctoral Dissertations. AAI3415552.
https://digitalcommons.lib.uconn.edu/dissertations/AAI3415552