论文标题
循环组磁场中线性复发序列的虚拟时期
The virtual periods of linear recurrence sequences in cyclotomic fields
论文作者
论文摘要
环形场中的线性复发序列会产生每个项的生成场的序列。我们表明,在删除第一个有限项后,后来的序列是周期性的,并给出了其周期的界限。这可以应用于指数总和。
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.