Abstract:We establish consequences of the moving form of Schmidt's Subspace Theorem. Indeed, we obtain inequalities that bound the logarithmic greatest common divisor of moving multivariable polynomials evaluated at moving -unit arguments. In doing so, we complement recent work of Levin. As an additional application, we obtain results that pertain to the greatest common divisor problem for algebraic linear recurrence sequences. These observations are motivated by previous related works of Corvaja-Zannier, Levin, and others.

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中文翻译：

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具有移动目标的最大公约数和线性重复序列的结果

摘要：我们确定了施密特子空间定理移动形式的结果。确实，我们获得了不等式，该不等式限制了在移动单位参数处评估的移动多元多项式的对数最大公约数。为此，我们补充了莱文的最新工作。作为附加应用，我们获得了与代数线性递归序列的最大公约数问题有关的结果。这些观察是由Corvaja-Zannier，Levin等人的先前相关工作所激发的。

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