Arithmetic and metric properties of p-adic Engel series expansions

被引：0

作者：

Grabner, PJ

Knopfmacher, A

机构：

[1] Graz Tech Univ, Inst Math A, A-8010 Graz, Austria

[2] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, ZA-2050 Wits, South Africa

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2003年 / 63卷 / 03期

关键词：

Engel series; p-adic numbers; metric properties;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a characterization of rational numbers in terms of their unique p-adic Engel series expansions. Thereafter we investigate metric properties for the rational digits occurring in these p-adic Engel expansions. In particular, we obtain limiting distributions for the p-adic order of the digits and the p-adic order of approximation by the partial sums of the series expansions.

引用

页码：363 / 377

页数：15

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