Pell and Pell-Lucas numbers as sums of three repdigits

In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.

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Hauptverfasser: Bhoi, Kisan, Patel, Bijan Kumar, Ray, Prasanta Kumar
Format: Artikel
Sprache:eng
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Zusammenfassung:In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.
DOI:10.48550/arxiv.2009.12607