Geodesic
On representation of numbers by binary forms
Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 369-376.

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An effective method is given for finding all rational points, the denominators of which are formed from a finite number of fixed primes, on the curve $f(x,y)=A$, where $f(x,y)$ is a binary form of degree three at least, irreducible over the field of rational numbers, and $A$ is a rational number. 
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     author = {A. I. Vinogradov and V. G. Sprindzhuk},
     title = {On representation of numbers by binary forms},
     journal = {Matemati\v{c}eskie zametki},
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     number = {4},
     year = {1968},
     language = {ru},
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A. I. Vinogradov; V. G. Sprindzhuk. On representation of numbers by binary forms. Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 369-376. http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a0/