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On some Diophantine equations involving generalized Fibonacci and Lucas numbers

Volume 150 / 2017

Lyes Ait-Amrane, Djilali Behloul Colloquium Mathematicum 150 (2017), 257-268 MSC: Primary 11D09; Secondary 11D45, 11B37, 11B39. DOI: 10.4064/cm6889-12-2016 Published online: 11 August 2017

Abstract

We solve completely, in integers, some quadratic Diophantine equations involving generalized Fibonacci and Lucas numbers.

Authors

  • Lyes Ait-AmraneLATN Laboratory
    Faculty of Mathematics
    USTHB
    BP 32, El Alia, 16111, Bab Ezzouar
    Algiers, Algeria
    and
    École Nationale Supérieure d’Informatique (ESI)
    BP 68M Oued Smar, 16270, El Harrach
    Algiers, Algeria
    e-mail
  • Djilali BehloulLATN Laboratory
    Faculty of Mathematics
    USTHB
    BP 32, El Alia, 16111, Bab Ezzouar
    Algiers, Algeria
    e-mail
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