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SOME ASYMPTOTES RELATED TO k-th-POWER FREE NUMBERS

Jong-Yi Chen

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Source: Crossref

Published: Feb 1, 2006

DOI: 10.11650/twjm/1500403833

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Source abstract

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

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SOME ASYMPTOTES RELATED TO k-th-POWER FREE NUMBERS — Mathematical Frontier Network