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Distribution of cube-free numbers with form [nc]

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Abstract

We prove that there are infinite cube-free numbers of the form [nc] for any fixed real number c ∈ (1, 11/6).

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Acknowledgements

The authors would like to express the most and the greatest sincere gratitude to Professor Wenguang Zhai for his valuable advices and constant encouragement.

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Authors and Affiliations

  1. Department of Mathematics, China University of Mining and Technology, Beijing, 100083, China

    Min Zhang & Jinjiang Li

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  1. Min Zhang
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  2. Jinjiang Li
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Correspondence to Jinjiang Li.

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Zhang, M., Li, J. Distribution of cube-free numbers with form [nc]. Front. Math. China 12, 1515–1525 (2017). https://doi.org/10.1007/s11464-017-0652-1

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  • DOI: https://doi.org/10.1007/s11464-017-0652-1

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