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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ژورنال
عنوان ژورنال: International Journal of Innovative Research and Growth
سال: 2018
ISSN: 2455-1848
DOI: 10.26671/ijirg.2018.5.6.101