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arXiv · 2010.08342

The virtual periods of linear recurrence sequences in cyclotomic fields

Shenxing Zhang
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Abstract

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.

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Shenxing Zhang. 2020-10-16. The virtual periods of linear recurrence sequences in cyclotomic fields. https://arxiv.org/abs/2010.08342

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