On the diophantine equation x2-2m=±yn

被引：2

作者：

Bugeaud, Y ^{[1
]}

机构：

[1] Univ Strasbourg 1, UFR Math, F-67084 Strasbourg, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 11期

关键词：

exponential equations; linear forms in logarithms;

D O I：

10.1090/S0002-9939-97-04093-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

One of the purposes of this note is to correct the proof of a recent result of Y. Guo & M. Le on the equation x(2) - 2(m) = y(n). Moreover, we prove that the diophantine equation x(2) - 2(m) = +/- y(n), x, y, m, n is an element of N, gcd(x, y) = 1, y > 1, n > 2 has only finitely many solutions, all of which satisfying n less than or equal to 7.310(5).

引用

页码：3203 / 3208

页数：6

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