Measure-equivalence of quadratic forms Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6h440w62k

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • This paper examines the probability that a random polynomial of specific degree over a field has a specific number of distinct roots in that field. Probabilities are found for random quadratic polynomials with respect to various probability measures on the real numbers and p-adic numbers. In the process, some properties of the p-adic integer uniform random variable are explored. The measure Witt ring, a generalization of the canonical Witt ring, is introduced as a way to link quadratic forms and measures, and examples are found for various fields and measures. Special properties of the Haar measure in connection with the measure Witt ring are explored. Higher-degree polynomials are explored with the aid of numerical methods, and some conjectures are made regarding higher-degree p-adic polynomials. Other open questions about measure Witt rings are stated.
Resource Type
Date Available
Date Copyright
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScanAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Made available in DSpace on 2010-06-24T15:23:45Z (GMT). No. of bitstreams: 1 LimmerDouglasJames1999.pdf: 353812 bytes, checksum: f6e7f0cbb2510df417d483ac9852d338 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-06-24T15:23:45Z (GMT) No. of bitstreams: 1 LimmerDouglasJames1999.pdf: 353812 bytes, checksum: f6e7f0cbb2510df417d483ac9852d338 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-06-24T15:20:42Z (GMT) No. of bitstreams: 1 LimmerDouglasJames1999.pdf: 353812 bytes, checksum: f6e7f0cbb2510df417d483ac9852d338 (MD5)
  • description.provenance : Submitted by Eric Hepler (ehscanner@gmail.com) on 2010-06-17T18:26:44Z No. of bitstreams: 1 LimmerDouglasJames1999.pdf: 353812 bytes, checksum: f6e7f0cbb2510df417d483ac9852d338 (MD5)

Relationships

In Administrative Set:
Last modified: 08/14/2017

Downloadable Content

Download PDF
Citations:

EndNote | Zotero | Mendeley

Items