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A development of some of the basic properties of the Riemann Zeta function

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Title	A development of some of the basic properties of the Riemann Zeta function
Author	Neese, Branden
Author email	brandenneese@gmail.com; neese@usc.edu
Degree	Master of Arts
Document type	Thesis
Degree program	Mathematics
School	College of Letters, Arts and Sciences
Date defended/completed	2008-08-14
Date submitted	2008
Restricted until	Unrestricted
Date published	2008-08-26
Advisor (committee chair)	Kamienny, Sheldon
Advisor (committee member)	Kukavica, Igor Haydn, Nicolai
Abstract	I have adapted a development of the basic properties of the Riemann Zeta function. Chapter one includes the Euler product, a functional equation, and an analytic continuation. Chapter two shows the equivalence of the Prime Number Theorem with the fact that the Zeta function has no zeros with real part equal to one.
Keyword	Riemann; Zeta
Language	English
Part of collection	University of Southern California dissertations and theses
Publisher (of the original version)	University of Southern California
Place of publication (of the original version)	Los Angeles, California
Publisher (of the digital version)	University of Southern California. Libraries
Provenance	Electronically uploaded by the author
Type	texts
Legacy record ID	usctheses-m1579
Rights	Neese, Branden
Repository name	Libraries, University of Southern California
Repository address	Los Angeles, California
Repository email	http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/
Filename	etd-Neese-2372
Archival file	uscthesesreloadpub_Volume40/etd-Neese-2372.pdf

Title	Page 1
Full text	A DEVELOPMENT OF SOME OF THE BASIC PROPERTIES OF THE RIEMANN ZETA FUNCTION by Branden Neese A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree MASTER OF ARTS (MATHEMATICS) December 2008 Copyright 2008 Branden Neese

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