Committee ChairBrillhart, John
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PublisherThe University of Arizona.
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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.