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Solving some parametric quadratic Diophantine equation over \(\mathbb Z\) and \(\mathbb F_p\)

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Publication:648167
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DOI10.1016/j.amc.2011.03.071zbMath1252.11028OpenAlexW1973283403MaRDI QIDQ648167

Arzu Özkoç, Ahmet Tekcan, Ismail Naci Cangul

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.071


zbMATH Keywords

finite fieldsquadratic Diophantine equationinteger solutionsPell equationcontinued fraction


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)


Related Items (4)

Numerical solution of certain exponential and non-linear Diophantine systems of equations by using a discrete particle swarm optimization algorithm ⋮ Parallel algorithms for modular multi-exponentiation ⋮ Unnamed Item ⋮ Diophantine approximation over primes with different powers




Cites Work

  • Unnamed Item
  • Pell's equation
  • Simple continued fraction solutions for Diophantine equations




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