[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2017.25.2.137

CONTINUED FRACTIONS AND THE DENSITY OF GRAPHS OF SOME FUNCTIONS

Chae, Hi-joon (Department of Mathematics Education Hongik University)
Jun, Byungheup (Department of Mathematical Sciences UNIST)
Lee, Jungyun (Department of Mathematics Ewha Womans University)

Publication Information

Korean Journal of Mathematics / v.25, no.2, 2017 , pp. 137-145 More about this Journal

Abstract

We consider some simple periodic functions on the field of rational numbers with values in ${\mathbb{Q}}/{\mathbb{Z}}$ which are defined in terms of lowest-term-expression of rational numbers. We prove the density of graphs of these functions by constructing explicitly points on the graphs close to a given point using continued fractions.

Keywords

continued fractions; Dedekind sums;

Citations & Related Records

Reference

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