SOME ASYMPTOTES RELATED TO k-th-POWER FREE NUMBERS

Jong-Yi Chen

Type: Article

Publication Date: 2006-02-01

Citations: 0

DOI: https://doi.org/10.11650/twjm/1500403833

Abstract

In this note we find some relations between $k−$free numbers. We obtain some asymptotes of the error term in the summation of $k−$free integers $R_k(x)$. Further, we determine some constants which happen in the summation of $k−$free integers.

Locations

Taiwanese Journal of Mathematics - View - PDF

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Works That Cite This (0)

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Works Cited by This (3)

Action	Title	Year	Authors
+	On a Problem in the Additive Theory of Numbers	1931	C. J. A. Evelyn E. H. Linfoot
+	On the Asymptotic Density of the k-Free Integers	1966	H. M. Stark
+	Introduction to Analytic Number Theory	1976	Tom M. Apostol