On rational approximations with denominators from thin sets, ii

被引：0

作者：

Carsten Eisner

机构：

[1] Universität Hannover,Institut für Mathematik

来源：

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2002年 / 72卷 / 1期

关键词：

Positive Integer; Prime Number; Rational Approximation; Dense Subset; Infinite Sequence;

D O I：

10.1007/BF02941663

中图分类号：

学科分类号：

摘要：

In the general case a real irrational number cannot be approximated by infinitely many rationalsp/q involving error terms less than q-2 when the denominatorsq are taken from a given thin set of positive integers. The distribution of irrationals which are situated in close neighborhoods of infinitely many fractionsp/q, whereq is restricted to the elements of a thin set, depends on the asymptotic behaviour of theq’s and on their arithmetic properties.

引用

页码：35 / 45

页数：10

共 7 条

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[7] Schoenfeld L.(undefined)Approximate formulas for some functions of prime numbers undefined undefined undefined-undefined

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