On a Class of Congruences for Lucas Sequences

Paul Thomas Young

A chapter in Applications of Fibonacci Numbers, 1996, pp 537-544 from Springer

Abstract: Abstract Let ⋋,µ∈ℤ and define a sequence of integers {Hn(λ,μ)}n≥0 by the linear recurrence (1.1) $$ {H_0}\left( {\lambda ,\mu } \right) = 2,{H_1}\left( {\lambda ,\mu } \right) = \lambda ,and{H_{n + 1}}\left( {\lambda ,\mu } \right) = \lambda {H_n}\left( {\lambda ,\mu } \right) + \mu {H_{n - 1}}\left( {\lambda ,\mu } \right)forn > 0. $$

Keywords: Distinct Element; Algebraic Integer; Linear Recurrence; Galois Ring; Multiplicative Order (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0223-7_43

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DOI: 10.1007/978-94-009-0223-7_43

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