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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1968 Volume 3, Issue 4, Pages 369–376 (Mi mzm6691)

This article is cited in 3 papers

On representation of numbers by binary forms

A. I. Vinogradova, V. G. Sprindzhukb

a Leningrad Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Institute of Mathematics, Academy of Sciences Byelorussian SSR

Abstract: 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.

UDC: 511

Received: 27.12.1967


 English version:
Mathematical Notes, 1968, 3:4, 235–239

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