• Publications
• Influence
On the Natural Density of the Niven Numbers
• Mathematics
• 1 September 1984
Some examples of Niven numbers are 8, 12, 180, and 4050. The set of Niven numbers is infinite since any positive integral power of 10 is a Niven number. Even though a variety of ideas, results andExpand
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• 3
• PDF
A PARTIAL ASYMPTOTIC FORMULA FOR THE NIVEN NUMBERS
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 factorExpand
• 4
• 3
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Chebyshev's inequality and natural density
• Mathematics
• 1 February 1989
• 13
• 2
• PDF
ON AN ASYMPTOTIC FORMULA FOR THE NIVEN NUMBERS
• Mathematics
• 1985
A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbersExpand
• 5
• 2
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ON CONSECUTIVE NIVEN NUMBERS
• Mathematics
• 1993
INTRODUCTION In [1] the concept of a Niven number was introduced with the following definition. Definition: A positive integer is called a Niven number if it is divisible by its digital sum. VariousExpand
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• 1
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An extension of a theorem by Cheo and Yien concerning digital sums
• Mathematics
• 1991
For a nonnegative integer k, let s(k) denote the digital sum of k. In [1], Cheo and Yien prove that, for a nonnegative integer x, x 1 (1.1) £ s(k) = (4.5)a: log x + 0(x) . fc=o Here 0(f(x)) is theExpand
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High order stiffly stable linear multistep methods
Stiffly stable linear k-step methods of order k for the initial-value problem are studied. Examples for k = 1, 2, and 3 were discovered by use of Adams-type methods. A large family of stiffly stableExpand
• 4
• 1
Tau numbers, natural density, and Hardy and Wright's theorem 437
• Mathematics
• 1990
An element of the set T= {n:τ(n) is a factor of n} is called a Tau number, where τ(n) denotes the number of divisors of the integer n. We determine the natural density of this set by use of Hardy andExpand
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Chords, Arcs and Iteration.
• Mathematics
• 1 April 1983
• 1