k-free and k-full numbers with prime factors in an arithmetic progression

We apply a classical Wirsing's theorem and study k-free numbers, k-full numbers and perfect powers with prime factors in an arithmetic progression.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2024-09-27
DOI
https://doi.org/10.56947/gjom.v17i2.2293
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
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article

k-free and k-full numbers with prime factors in an arithmetic progression

Rafael Jakimczuk
Gulf Journal of Mathematics
Analytic Number Theory Research
article

k-free and k-full numbers with prime factors in an arithmetic progression

Rafael Jakimczuk
article en

Abstract

We apply a classical Wirsing's theorem and study k-free numbers, k-full numbers and perfect powers with prime factors in an arithmetic progression.

Gulf Journal of MathematicsVol. 17(2)
National University of Luján (AR)
Openalex Percentile: Top 69%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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k-free and k-full numbers with prime factors in an arithmetic progression — Rafael Jakimczuk · Gulf Journal of Mathematics (2024) | TGRS Research Map | TGRS