Geodesic
On the equation \ x^y\pm y^x=\prod n_i!
Glasgow mathematical journal, Tome 42 (2000) no. 3, pp. 351-357

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we investigate the diophantine equation<$$>x^y\pm y^x=\prod n_i!<$$>where x and y are odd and greater than 1. We prove that this equation has no integer solutions. 
Luca, Florian; Mignotte, Maurice; Roy, Yves. On the equation \ x^y\pm y^x=\prod n_i!. Glasgow mathematical journal, Tome 42 (2000) no. 3, pp. 351-357. doi: 10.1017/S0017089500030044
@article{10_1017_S0017089500030044,
     author = {Luca, Florian and Mignotte, Maurice and Roy, Yves},
     title = {On the equation \ x^y\pm y^x=\prod n_i!},
     journal = {Glasgow mathematical journal},
     pages = {351--357},
     year = {2000},
     volume = {42},
     number = {3},
     doi = {10.1017/S0017089500030044},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030044/}
}
TY  - JOUR
AU  - Luca, Florian
AU  - Mignotte, Maurice
AU  - Roy, Yves
TI  - On the equation \ x^y\pm y^x=\prod n_i!
JO  - Glasgow mathematical journal
PY  - 2000
SP  - 351
EP  - 357
VL  - 42
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030044/
DO  - 10.1017/S0017089500030044
ID  - 10_1017_S0017089500030044
ER  - 
%0 Journal Article
%A Luca, Florian
%A Mignotte, Maurice
%A Roy, Yves
%T On the equation \ x^y\pm y^x=\prod n_i!
%J Glasgow mathematical journal
%D 2000
%P 351-357
%V 42
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030044/
%R 10.1017/S0017089500030044
%F 10_1017_S0017089500030044

Cité par Sources :