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CONTINUED FRACTIONS AND THE DENSITY OF GRAPHS OF SOME FUNCTIONS
- Authors
- Chae, Hi-joon; Jun, Byungheup; Lee, Jungyun
- Issue Date
- Jun-2017
- Publisher
- KANGWON-KYUNGKI MATHEMATICAL SOC
- Keywords
- continued fractions; Dedekind sums
- Citation
- KOREAN JOURNAL OF MATHEMATICS, v.25, no.2, pp.137 - 145
- Journal Title
- KOREAN JOURNAL OF MATHEMATICS
- Volume
- 25
- Number
- 2
- Start Page
- 137
- End Page
- 145
- ISSN
- 1976-8605
- Abstract
- 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.
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Related Researcher
- Chae, Hi joon
- Education (Mathematics Education)