Approximation of rational numbers by Dedekind sums

被引：4

作者：

Girstmair, Kurt ^{[1
]}

机构：

[1] Univ Innsbruck, Inst Math, A-6020 Innsbruck, Austria

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2014年 / 10卷 / 05期

关键词：

Dedekind sums; approximation properties of Dedekind sums;

D O I：

10.1142/S1793042114500237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a rational number x and a bound epsilon, we exhibit m, n such that vertical bar x - s(m, n)vertical bar < epsilon. Here s(m, n) is the classical Dedekind sum and the parameters m and n are completely explicit in terms of x and epsilon.

引用

页码：1241 / 1244

页数：4

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