Kuchaki Shalmani, Kiarash: Uniform Boundedness of Pole Order of General Eisenstein Series. - Bonn, 2020. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-59233
@phdthesis{handle:20.500.11811/8544,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-59233,
author = {{Kiarash Kuchaki Shalmani}},
title = {Uniform Boundedness of Pole Order of General Eisenstein Series},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2020,
month = aug,

note = {This work consists of two parts. In the first part we give a general introduction to the chapter 7 of [L1], and settle down some bases needed for the second chapter in which we prove that the order of the poles of a residual Eisenstein series on an arbitrary reductive group $G$ which satisfies the conditions of the chapter 1 of this work is uniformly bounded by a constant which depends only on the number of elements of a subgroup of the Weyl group of $G$ via the methods developed in [F1] and [F2]. Having a general understanding of the main assertions and difficulties that Langlands had faced and solved through his treatment of Eisenstein series is crucial in understanding [F1] and [F2], on them this work has been built, consequently we start this work with an introduction to Eisenstein series and afterwards in chapter 1 we review Eisenstein systems, and in chapter two we will prove the main claim of this work.},
url = {http://hdl.handle.net/20.500.11811/8544}
}

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