On the exponential Diophantine equation $a^x + l^y = c^z$
Terai, Nobuhiro
Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, p. 151-154 / Harvested from Project Euclid
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Using the theory of linear forms in logarithms and a result due to Adachi, we show that the title equation has only the trivial positive integral solution under some conditions.
Publié le : 2001-11-14
Classification:  Exponential Diophantine equation,  theory of linear forms in logarithms,  11D61 
@article{1148393009,
     author = {Terai, Nobuhiro},
     title = {On the exponential Diophantine equation $a^x + l^y = c^z$},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {77},
     number = {10},
     year = {2001},
     pages = { 151-154},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393009}
}

Terai, Nobuhiro. On the exponential Diophantine equation $a^x + l^y = c^z$. Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, pp.  151-154. http://gdmltest.u-ga.fr/item/1148393009/