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

页码：201 / 206

页数：5

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