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Stability of second-order recurrences modulo \(p^r\) - MaRDI portal

Stability of second-order recurrences modulo \(p^r\) (Q1567215)

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scientific article; zbMATH DE number 1455543
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Stability of second-order recurrences modulo \(p^r\)
scientific article; zbMATH DE number 1455543

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    Stability of second-order recurrences modulo \(p^r\) (English)
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    24 February 2002
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    This paper concerns congruence properties of binary linear recurrences \((\text{mod } p^r)\), where \(p\) is an odd prime. Such a recurrence is called ``\(p\)-stable'' if the set of frequencies of the distinct least positive residues \((\text{mod } p^r)\) is eventually constant as a function of \(r\). The authors develop sufficient conditions to determine whether certain binary linear recurrences are \(p\)-stable.
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    congruence properties
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    binary linear recurrences
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