Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2017.01.17
  • Accepted : 2017.03.30
  • Published : 2017.06.30
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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.

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References

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