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University of Illinois at Urbana-Champaign
Analytic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups
Abstract
dc:descriptionIn this work we develop an approach of Selberg to the analytic continuation of Eisenstein series by means of Fredholm theory. We set up the machinery for very general algebraic groups and arithmetic subgroups, and obtain the analytic continuation and functional equations of cuspidal Eisenstein series for rank one cuspidal subgroups. This approach suggests an alternative development to part of Langlands' theory of Eisenstein series. It also opens up the possibility of more precise knowledge about the poles of Eisenstein series.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Wong, Shek-Tung
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8803240
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71263