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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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. |
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DOI: | 10.48550/arxiv.2009.12607 |