• Corpus ID: 123538236

On the set of divisors of a number

@inproceedings{Bruijn1951OnTS,
  title={On the set of divisors of a number},
  author={de Ng Dick Bruijn and van C Ebbenhorst Tengbergen and D. Kruyswijk},
  year={1951}
}
If z is a natural number and if z=pipfy —Pj is its factorization into primes, then the sum X/ + \2 + '" + \ " will be called the degree of z. Let m be a squarefree natural number of degree /?, i.e., m is the product of n different primes. Let the set of all divisors of m of degree k be denoted by Dk, k = Q, /, •,/?; clearly,the cardinality of Dk is equal to C(n,k), where C(nJ<) denotes the binomial coefficient, n!/[k!(n k)!]. Two natural numbers 5 and f are said to differ in exactly one… 
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References

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  • 1951
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On the Set of Divisors of a Number
  • 1951