On the Positive Integral Solutions of the Diophantine Equation x3+ by + 1 - xyz = 0
Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

Voir la notice de l'article

In this paper, we prove a weaker form of a conjecture of Mohanty and Ramasamy [6] concerning the number of positive integer solutions ( x,y,z ) of the title equation.
Classification : 11D25, 11D45.
@article{BMMS_2008_31_2_a1,
     author = {Florian Luca and Alain Togbe},
     title = {On the {Positive} {Integral} {Solutions} of the {Diophantine} {Equation} x3+ by + 1 - xyz = 0},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2008},
     volume = {31},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a1/}
}
TY  - JOUR
AU  - Florian Luca
AU  - Alain Togbe
TI  - On the Positive Integral Solutions of the Diophantine Equation x3+ by + 1 - xyz = 0
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2008
VL  - 31
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a1/
ID  - BMMS_2008_31_2_a1
ER  - 
%0 Journal Article
%A Florian Luca
%A Alain Togbe
%T On the Positive Integral Solutions of the Diophantine Equation x3+ by + 1 - xyz = 0
%J Bulletin of the Malaysian Mathematical Society
%D 2008
%V 31
%N 2
%U http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a1/
%F BMMS_2008_31_2_a1
Florian Luca; Alain Togbe. On the Positive Integral Solutions of the Diophantine Equation x3+ by + 1 - xyz = 0. Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a1/