Geodesic
On some Diophantine equations involving generalized Fibonacci and Lucas numbers
Lyes Ait-Amrane 1   ; Djilali Behloul 2
1 LATN 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
2 LATN Laboratory Faculty of Mathematics USTHB BP 32, El Alia, 16111, Bab Ezzouar Algiers, Algeria
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 257-268 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We solve completely, in integers, some quadratic Diophantine equations involving generalized Fibonacci and Lucas numbers.
DOI : 10.4064/cm6889-12-2016
Keywords: solve completely integers quadratic diophantine equations involving generalized fibonacci lucas numbers

Lyes Ait-Amrane  1   ; Djilali Behloul  2

1 LATN 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
2 LATN Laboratory Faculty of Mathematics USTHB BP 32, El Alia, 16111, Bab Ezzouar Algiers, Algeria 
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     author = {Lyes Ait-Amrane and Djilali Behloul},
     title = {On some {Diophantine} equations involving generalized {Fibonacci} and {Lucas} numbers},
     journal = {Colloquium Mathematicum},
     pages = {257--268},
     year = {2017},
     volume = {150},
     number = {2},
     doi = {10.4064/cm6889-12-2016},
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Lyes Ait-Amrane; Djilali Behloul. On some Diophantine equations involving generalized Fibonacci and Lucas numbers. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 257-268. doi: 10.4064/cm6889-12-2016

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