On the Integer Part of a Positive Integer’s K-th Root
نویسنده
چکیده
The main purpose of this paper is using the elementary method and analytic method to study the asymptotic properties of the integer part of the k-th root positive integer, and give two interesting asymptotic formulae.
منابع مشابه
On the Integer Part of the K-th Root of a Positive Integer
For any positive integer m, let a(m) denotes the integer part of the k-th root of m. That is, a(m) = [ m ] . In this paper, we study the asymptotic properties of σ−α(f(a(m))), where 0 < α ≤ 1 be a fixed real number, σ−α(n) = ∑ l|n 1 lα , f(x) be a polynomial with integer coefficients. An asymptotic formula is obtained.
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