Functions of coprime divisors of integers
نویسندگان
چکیده
منابع مشابه
On exponentially coprime integers
d|en d denote the number and the sum of exponential divisors of n, respectively. Properties of these functions were investigated by several authors, see [1], [2], [3], [5], [6], [8]. Two integers n,m > 1 have common exponential divisors iff they have the same prime factors and for n = ∏r i=1 p ai i , m = ∏r i=1 p bi i , ai, bi ≥ 1 (1 ≤ i ≤ r), the greatest common exponential divisor of n and m is
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Let S denote a set of positive integers and τ : S → be defined so that τ(s) is a proper divisor of s (that is, τ(s) divides s and τ (s) < s). The ensemble (S, τ ) is said to have the ‘distinct divisor property’ if τ is injective, that is, if the τ (s) are different for different values of s. We will also say that S has the distinct divisor property if there exists a τ , as above, such that (S, ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1937
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1937-06651-1