Class Number One Problems

Graduate Project

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_projects/1544bq09w

Descriptions

Attribute Name	Values
Creator	Bunnell, Elijah
Abstract	In this paper we examine some of the developments concerning the Gauss class number problems and build a solid understanding of the class number. First we will develop some background knowledge necessary to understand the problem, specifically the theory of quadratic forms and quadratic fields and how the class number is represented in each. The current form of Gauss' conjectures will not be formally stated until this groundwork is set. The class equation will then be thoroughly examined in order to illustrate the connection between the class number and L-functions.
Resource Type	Capstone Project
Date Available	2011-02-10T22:13:46+00:00
Date Issued	2009-04-24
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2009
Advisor	Swisher, Holly M.
Academic Affiliation	Mathematics
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/20093

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