Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 369-376
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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/
@article{MZM_1968_3_4_a0,
author = {A. I. Vinogradov and V. G. Sprindzhuk},
title = {On representation of numbers by binary forms},
journal = {Matemati\v{c}eskie zametki},
pages = {369--376},
year = {1968},
volume = {3},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a0/}
}
TY - JOUR
AU - A. I. Vinogradov
AU - V. G. Sprindzhuk
TI - On representation of numbers by binary forms
JO - Matematičeskie zametki
PY - 1968
SP - 369
EP - 376
VL - 3
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a0/
LA - ru
ID - MZM_1968_3_4_a0
ER -
%0 Journal Article
%A A. I. Vinogradov
%A V. G. Sprindzhuk
%T On representation of numbers by binary forms
%J Matematičeskie zametki
%D 1968
%P 369-376
%V 3
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a0/
%G ru
%F MZM_1968_3_4_a0
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.