An implemented transformational scheme for monic polynomials with integer coefficients

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Authors
Lutz, Robert Edward, Jr.
Subjects
Irreducible polynomials
Advisors
Davis, Daniel L.
Date of Issue
1971-06
Date
June 1971
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
A discussion of the problem of the irreducibility of polynomials in the ring of integral polynomials establishes the framework of the research. A transformational scheme is postulated to facilitate investigation of the problem. The coherency of the scheme is detailed and the necessary computational techniques developed. To determine the efficacy of the transformational scheme, the specification and collection of appropriate sets of data are discussed. The transformational scheme is then applied to the data and the results are tabulated and discussed. The conclusion is drawn that a transformational scheme is a useful tool for the investigation of the irreducibility of this type of polynomial and some hypotheses as to the refinement and extension of the technique are stated.
Type
Thesis
Description
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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