论文标题

具有溶液的规范形式方程,以多次旋转为单位

Norm form equations with solutions taking values in a multi-recurrence

论文作者

Fuchs, Clemens, Heintze, Sebastian

论文摘要

我们对在给定的多重复中采用值的规范形式方程的解决方案感兴趣。我们表明,在解决方案中,每个组件中只有一个有限的值,除非复发是精确地描述的特殊形状,否则在给定的多重现中只有一个有限的值。这给出了有关规范形式方程的解决方案集中算术进程问题的变体。

We are interested in solutions of a norm form equation that takes values in a given multi-recurrence. We show that among the solutions there are only finitely many values in each component which lie in the given multi-recurrence unless the recurrence is of precisely described exceptional shape. This gives a variant of the question on arithmetic progressions in the solution set of norm form equations.

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