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Title:  ZetaFunctions of TwoSided Ideals in Arithmetic Orders 
Author(s):  RaggiCardenas, Alberto Gerardo 
Department / Program:  Mathematics 
Discipline:  Mathematics 
Degree Granting Institution:  University of Illinois at UrbanaChampaign 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  Mathematics 
Abstract:  The thesis deals with the theory of twosided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used. The work begins with an introduction to the theory of Z  and Lseries. The basic plan is to compare these series with a Zintegral whose analytic properties are more accessible, and then use these properties to obtain some analogous ones of Z and Lseries. Next the theory of twosided ideals is studied. First we translate the general theory just developed to our context; then we obtain explicit formulas for the zeta functions for some particular classes of orders, and we give some examples. We also study, in the simple case, the behavior of the zetafunctions at their largest pole. The thesis ends with discussion of some possible generalizations of the prime ideal theorem to twosided ideals of arithmetic orders in simple algebras. 
Issue Date:  1984 
Type:  Text 
Description:  78 p. Thesis (Ph.D.)University of Illinois at UrbanaChampaign, 1984. 
URI:  http://hdl.handle.net/2142/71221 
Other Identifier(s):  (UMI)AAI8422802 
Date Available in IDEALS:  20141216 
Date Deposited:  1984 
This item appears in the following Collection(s)

Dissertations and Theses  Mathematics

Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois