Open AccessOn the Distribution of r k
Author(s) -
Ting Zhang,
Huaning Liu
Publication year - 2014
Publication title -
journal of numbers
Language(s) - English
Resource type - Journals
eISSN - 2356-7511
pISSN - 2314-842X
DOI - 10.1155/2014/537606
Subject(s) - tuple , integer (computer science) , mathematics , distribution (mathematics) , combinatorics , discrete mathematics , computer science , mathematical analysis , programming language
For k, being a fixed integer ≥2, a positive integer n is called k-free number if n is not divisible by the kth power of any integer >1. In this paper, we studied the distribution of r-tuples of k-free numbers and derived an asymptotic formula
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