SOME ASYMPTOTES RELATED TO k-th-POWER FREE NUMBERS

Jong-Yi Chen

doi:10.11650/twjm/1500403833

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Home > Journals > Taiwanese J. Math. > Volume 10 > Issue 2 > Article

2006 SOME ASYMPTOTES RELATED TO k-th-POWER FREE NUMBERS

Jong-Yi Chen

Taiwanese J. Math. 10(2): 409-415 (2006). DOI: 10.11650/twjm/1500403833

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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.

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Jong-Yi Chen. "SOME ASYMPTOTES RELATED TO k-th-POWER FREE NUMBERS." Taiwanese J. Math. 10 (2) 409 - 415, 2006. https://doi.org/10.11650/twjm/1500403833