The structure as well as several arithmetic properties of the solution sets of norm form equations are of classical and recent interest. In this paper, we give a finiteness result for terms of linear recurrence sequences appearing in the coordinates of solutions of norm form equations. Our main theorem yields a common generalization of certain recent results from the literature.

中文翻译：

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范式方程解集中的递推序列项

范式方程解集的结构和几个算术性质是经典的和最近的兴趣。在本文中，我们给出了出现在范式方程解的坐标中的线性递推序列项的有限性结果。我们的主要定理对文献中的某些最新结果进行了普遍的概括。