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
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页码：1 / 13
页数：13
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