Values of Lucas sequences modulo primes

DOI10.1216/rmjm/1181069947zbMath1076.11009OpenAlexW1967503415MaRDI QIDQ1430442

Zhi-Hong Sun

Publication date: 27 May 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069947

zbMATH Keywords

Fibonacci numbersLucas numbersquartic reciprocity

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50) Power residues, reciprocity (11A15)

Related Items (7)

Quartic residues and sums involving \({4k}\choose{2k}\) ⋮ CONGRUENCES CONCERNING LUCAS SEQUENCES ⋮ On the quadratic character of quadratic units ⋮ Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers ⋮ Quartic, octic residues and Lucas sequences ⋮ Quadratic residues and quartic residues modulo primes ⋮ Quartic residues and binary quadratic forms

Cites Work

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• Quartic residues and binary quadratic forms
• Supplements to the theory of quartic residues
• On the theory of cubic residues and nonresidues
• Fibonacci numbers and Fermat's last theorem

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