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UPPER BOUND OF THE CARDINALITY OF E-POWERED NUMBERS OF DIGITS

  • JEONG, KYUNG HO (Unnam high school) ;
  • SO, JISUK (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University) ;
  • KIM, SOEUN (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University) ;
  • KIM, DAEYEOUL (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University)
  • Received : 2018.03.07
  • Accepted : 2018.08.03
  • Published : 2018.09.30

Abstract

Let us think of adding each digit of a natural number, in bases b, that are e-powered. By studying for a number becoming greater than or equal to oneself, we will consider values of ${\lim}_{b{\rightarrow}{\infty}}{\frac{N(e,b)}{b^e}}$.

Keywords

References

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