On the exact height of integer-detecting sequences

被引：1

作者：

Elsner, C ^{[1
]}

Sander, JW ^{[1
]}

机构：

[1] Univ Hannover, Inst Math, D-30167 Hannover, Germany

来源：

JOURNAL OF NUMBER THEORY | 1998年 / 73卷 / 01期

关键词：

D O I：

10.1006/jnth.1998.2282

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some time ago, the concept of integer-detecting sequences of exact height xi was introduced. So far all the occurring exact heights were rational numbers, in fact even unit fractions. Otherwise it was known that 0 < xi less than or equal to 1/3, We show that every positive real number not exceeding 1/3 is the exact height of some integer-detecting sequence and discuss some examples. (C) 1998 Academic Press.

引用

页码：1 / 13

页数：13

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