CONTINUED FRACTIONS AND THE DENSITY OF GRAPHS OF SOME FUNCTIONS

Citations

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초록

We consider some simple periodic functions on the field of rational numbers with values in Q/Z which are de fined 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.

키워드

continued fractionsDedekind sums
제목
CONTINUED FRACTIONS AND THE DENSITY OF GRAPHS OF SOME FUNCTIONS
저자
Chae, Hi-joonJun, ByungheupLee, Jungyun
DOI
10.11568/kjm.2017.25.2.137
발행일
2017-06
유형
Article
저널명
한국수학논문집
25
2
페이지
137 ~ 145