Balancing numbers which are concatenations of three repdigits
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Published:2024-06-06
Issue:1
Volume:16
Page:148-157
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ISSN:2313-0210
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Container-title:Carpathian Mathematical Publications
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language:
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Short-container-title:Carpathian Math. Publ.
Author:
Erduvan F.ORCID,
Keskin R.ORCID
Abstract
In this study, it is shown that the only balancing numbers which are concatenations of three repdigits are $204$ and $1189$. The proof depends on lower bounds for linear forms and some tools from Diophantine approximation.
Publisher
Vasyl Stefanyk Precarpathian National University