K-full integers between successive k-th powers

Maosheng Xiong; Alexandru Zaharescu

doi:10.1016/j.indag.2011.08.003

K-full integers between successive k-th powers

Maosheng Xiong^*, Alexandru Zaharescu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal Article › peer-review

Abstract

In the paper, we generalize a result of P. Shiu on the number of square-full integers between successive squares. We extend, via a different approach, the result to k-full integers, and we also obtain explicit error terms in the process.

Original language	English
Pages (from-to)	77-86
Number of pages	10
Journal	Indagationes Mathematicae
Volume	22
Issue number	1-2
DOIs	https://doi.org/10.1016/j.indag.2011.08.003
Publication status	Published - Oct 2011

Keywords

K-full integers

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10.1016/j.indag.2011.08.003

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title = "K-full integers between successive k-th powers",

abstract = "In the paper, we generalize a result of P. Shiu on the number of square-full integers between successive squares. We extend, via a different approach, the result to k-full integers, and we also obtain explicit error terms in the process.",

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author = "Maosheng Xiong and Alexandru Zaharescu",

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AU - Xiong, Maosheng

AU - Zaharescu, Alexandru

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AB - In the paper, we generalize a result of P. Shiu on the number of square-full integers between successive squares. We extend, via a different approach, the result to k-full integers, and we also obtain explicit error terms in the process.

KW - K-full integers

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000297888500006

UR - https://openalex.org/W1547249175

UR - https://www.scopus.com/pages/publications/80055002525

U2 - 10.1016/j.indag.2011.08.003

DO - 10.1016/j.indag.2011.08.003

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SP - 77

EP - 86

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 1-2

ER -

K-full integers between successive k-th powers

Abstract

Keywords

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