分圆域中线性递归序列的虚周期
The virtual periods of linear recurrence sequences in cyclotomic fields
摘要：
分圆域中的线性递归序列产生每项的生成域序列。我们证明了去掉第一有限项后的序列是周期的，并给出了其周期的一个界。这可以应用于指数和。
英文摘要：
A linear recurrence sequence in a cyclotomic field produces a sequence of the generating fields of each term. We show that the later sequence is periodic after removing the first finite terms, and give a bound of its period. This can be applied to exponential sums.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
