Geodesic
On the equation ax n -by n =c
Compositio Mathematica, Tome 47 (1982) no. 3, pp. 289-315

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     author = {Evertse, Jan-Hendrik},
     title = {On the equation $ax^n - by^n = c$},
     journal = {Compositio Mathematica},
     pages = {289--315},
     publisher = {Martinus Nijhoff Publishers},
     volume = {47},
     number = {3},
     year = {1982},
     zbl = {0498.10014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CM_1982__47_3_289_0/}
}
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Evertse, Jan-Hendrik. On the equation $ax^n - by^n = c$. Compositio Mathematica, Tome 47 (1982) no. 3, pp. 289-315. http://geodesic.mathdoc.fr/item/CM_1982__47_3_289_0/