Geodesic
On some Diophantine equations involving generalized Fibonacci and Lucas numbers
Lyes Ait-Amrane1 ; Djilali Behloul2
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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_cm6889_12_2016,
     author = {Lyes Ait-Amrane and Djilali Behloul},
     title = {On some {Diophantine} equations involving generalized {Fibonacci} and {Lucas} numbers},
     journal = {Colloquium Mathematicum},
     pages = {257--268},
     publisher = {mathdoc},
     volume = {150},
     number = {2},
     year = {2017},
     doi = {10.4064/cm6889-12-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6889-12-2016/}
}
TY  - JOUR
AU  - Lyes Ait-Amrane
AU  - Djilali Behloul
TI  - On some Diophantine equations involving generalized Fibonacci and Lucas numbers
JO  - Colloquium Mathematicum
PY  - 2017
SP  - 257
EP  - 268
VL  - 150
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm6889-12-2016/
DO  - 10.4064/cm6889-12-2016
LA  - en
ID  - 10_4064_cm6889_12_2016
ER  - 
%0 Journal Article
%A Lyes Ait-Amrane
%A Djilali Behloul
%T On some Diophantine equations involving generalized Fibonacci and Lucas numbers
%J Colloquium Mathematicum
%D 2017
%P 257-268
%V 150
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6889-12-2016/
%R 10.4064/cm6889-12-2016
%G en
%F 10_4064_cm6889_12_2016
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. http://geodesic.mathdoc.fr/articles/10.4064/cm6889-12-2016/

Cité par Sources :