关于单变量多项式的几个不等式

M. Mignotte
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引用次数: 24

摘要

本文讨论了以下两个问题:多项式的除数的高度的界,一元多项式的整数不同根之间的最小距离。在每种情况下,我们回顾最著名的结果,我们给出一些新的不等式,并构造合适的例子,我们表明这些不等式并不是“太糟糕”。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some inequalities about univariate polynomials
This paper deals with the two following topics: bounds for the heights of divisors of polynomials, minimal distance between distinct roots of integral univariate polynomials. In each case we recall the best known results, we give some new inequalities and, constructing suitable examples, we show that these inequalities are not “too bad”.
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