Corpus ID: 14843741

A PARTIAL ASYMPTOTIC FORMULA FOR THE NIVEN NUMBERS

@inproceedings{Horadam1988APA,
  title={A PARTIAL ASYMPTOTIC FORMULA FOR THE NIVEN NUMBERS},
  author={A. F. Horadam and J. C. Turner and C. Cooper and R. E. Kennedy},
  year={1988}
}
A Niven number is a positive integer that is divisible by its digital sum. That is, if n is an integer and s(n) denotes the digital sum of n, then n is a Niven number if and only if sin) is a factor of n. where Nix) denotes the number of Niven numbers less than x. This limit, if it exists 5 is called the "natural density" of N. It was proven in [3] that the natural density of the set of Niven numbers is zero, and in [4] a search for an asymptotic formula for N(x) was undertaken. That is, does… Expand
4 Citations
On the Distribution in Residue Classes of Integers with a Fixed Sum of Digits
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  • Highly Influenced
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On the counting function for the generalized Niven numbers
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  • Highly Influenced
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On the counting function for the generalized Niven numbers
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  • Highly Influenced
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