The zeta function of an order in a general algebra

Zeta functions have been of major importance in algebraic number theory for many years. They are useful (along with L-functions) in obtaining results concerning the asymptotic distribution of ideals in a given class. In 1980 Bushnell and Reiner were able to extend these classical results to the noncommutative case by considering the zeta function of an order in a finite dimensional semisimple Q(or Q$\sb{\rm p}$)-algebra. What happens when the condition of semisimplicity is lifted is addressed in this 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

2011

Author dc:creator

• Seyfried, Michael David

Contributors dc:contributor

• Janusz, Gerald

• Mathematics

Statement dc:rights

• Copyright 1990 Seyfried, Michael David

Language dc:language

eng

Identifier

AAI9114406
(UMI)AAI9114406

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20978