On the zeros of recurrence sequences with non-constant coefficients

被引：0
|
作者：
C. Methfessel
机构：
[1] Mathematisches Institut,
[2] Universität Freiburg,undefined
[3] Eckerstr. 1,undefined
[4] D-79104 Freiburg,undefined
来源：
Archiv der Mathematik | 2000年 / 74卷
关键词：
Arithmetic Progression; Positive Density; Linear Recurrence; Recurrence Sequence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper deals with the zeros of sequences, which satisfy linear recurrences with non-constant coefficients. We prove a weaker analogon of the Skolem-Mahler-Lech theorem on ordinary recurrent sequences. The proof relies on Szemerédi's theorem on arithmetic progressions in sets of positive density.
引用
收藏
页码：201 / 206
页数：5
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