Density of prime divisors in linear-recurring sequences.
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azu_td_9309038_sip1_m.pdf
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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
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
MathematicsGraduate College