Linear forms in two m-adic logarithms and applications to Diophantine problems

被引：19

作者：

Bugeaud, Y ^{[1
]}

机构：

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

来源：

COMPOSITIO MATHEMATICA | 2002年 / 132卷 / 02期

关键词：

Baker's method; Diophantine equation; linear form in logarithms; non-Archimedean approximation;

D O I：

10.1023/A:1015825809661

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give sharp, explicit estimates for linear forms in two logarithms, simultaneously for several non-Archimedean valuations. We present applications to explicit lower bounds for the fractional part of powers of rational numbers, and to the Diophantine equation (x(n)-1)/(x-1) = y(q).

引用

页码：137 / 158

页数：22

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