In this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower bounds on the distance between the zeros of a polynomial and non-zeros located on the unit circle and a lower bound on the number of zeros of a polynomial in the disk $\{|x-1|<1\}$.

中文翻译：

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多项式的零点与其马勒测度之间的关系

在这项工作中，我们正在处理一些与多项式零及其马勒测度有关的属性。我们提供多项式的实零点的估计值，位于圆上的多项式的零点与非零点之间的距离的下限以及磁盘中多项式的零点数的下限$\{|X-\mathrm{1个}|<\mathrm{1个}\}$。