Splitting Fields and Periods of Fibonacci Sequences Modulo Primes

DOI10.4169/math.mag.85.2.130zbMath1246.15012arXiv0909.0362OpenAlexW2962773893MaRDI QIDQ2911556

Francis Edward Su, Sanjay Gupta, Parousia Rockstroh

Publication date: 31 August 2012

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0362

zbMATH Keywords

eigenvaluesFibonacci sequencesplitting fieldsFibonacci matricesgeneral recurrences

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Eigenvalues, singular values, and eigenvectors (15A18) Linear algebra (educational aspects) (97H60) Groups, rings, fields (educational aspects) (97H40)

Related Items (11)

Fubini polynomials and integer partitions ⋮ On the periods of biperiodic Fibonacci and biperiodic Lucas numbers ⋮ GENERALIZED WALL-SUN-SUN PRIMES AND MONOGENIC POWER-COMPOSITIONAL TRINOMIALS ⋮ A new condition for \(k\)-Wall-Sun-Sun primes ⋮ Tantalizing properties of subsequences of the Fibonacci sequence modulo 10 ⋮ The Hadamard-type k-step Fibonacci sequences in groups ⋮ Unnamed Item ⋮ Period sets of linear recurrences over finite fields and related commutative rings ⋮ The Fibonacci sequence under a modulus: computing all moduli that produce a given period ⋮ Semiconjugate factorizations of higher order linear difference equations in rings ⋮ Some new identities and congruences for Fubini numbers

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