THE DIOPHANTINE EQUATION alpha(x1)(1) ... alpha(xn)(n) = f(x(1), ... , x(n)). II

Corvaja P; Schmidt WM; Zannier U

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THE DIOPHANTINE EQUATION alpha(x1)(1) ... alpha(xn)(n) = f(x(1), ... , x(n)). II

机译：DIOPHANTINE方程alpha（x1）（1）... alpha（xn）（n）= f（x（1），...，x（n））。 II

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摘要

We will deal with the equation of the title where alpha(1), ... , alpha(n) are multiplicatively independent complex numbers and f is a polynomial. We will give a bound for the number of solutions which depends only on n. and the degree of f. Two further results which play a role in the proof are of independent interest.

机译：我们将处理标题方程，其中alpha（1），...，alpha（n）是可乘独立复数，f是多项式。我们将给出一个仅取决于n的解的数量的界限。和f的程度。在证明中起作用的另外两个结果是独立关注的。

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来源
《Transactions of the American Mathematical Society》 |2010年第4期|共9页
作者
Corvaja P; Schmidt WM; Zannier U;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
complex; solutions; depends;

机译：复杂;解决方案;依赖;

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THE DIOPHANTINE EQUATION alpha(x1)(1) ... alpha(xn)(n) = f(x(1), ... , x(n)). II

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