Persistent Link:
http://hdl.handle.net/10150/186078
Title:
Density of prime divisors in linear-recurring sequences.
Author:
Ballot, Christian Jean-Claude.
Issue Date:
1992
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
A general density theory of the set of prime divisors of linear recurring sequences with constant coefficients of any order is built up from the work of Lucas, Laxton, Hasse, and Lagarias. In particular, in this theory the notion of the rank of a prime divisor of a second order recurring sequence (Lucas), the group associated with a given recursion (Laxton), and the effective computation of densities (Hasse and Lagarias) are generalized and combined.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Mathematics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Brillhart, John

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleDensity of prime divisors in linear-recurring sequences.en_US
dc.creatorBallot, Christian Jean-Claude.en_US
dc.contributor.authorBallot, Christian Jean-Claude.en_US
dc.date.issued1992en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractA general density theory of the set of prime divisors of linear recurring sequences with constant coefficients of any order is built up from the work of Lucas, Laxton, Hasse, and Lagarias. In particular, in this theory the notion of the rank of a prime divisor of a second order recurring sequence (Lucas), the group associated with a given recursion (Laxton), and the effective computation of densities (Hasse and Lagarias) are generalized and combined.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectMathematics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairBrillhart, Johnen_US
dc.contributor.committeememberHamara, Omaen_US
dc.contributor.committeememberGrove, Larry C.en_US
dc.identifier.proquest9309038en_US
dc.identifier.oclc714165954en_US
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