On the $x$-coordinates of Pell equations which are rep-digits

2016/88/3-4 (9) — DOI: 10.5486/PMD.2016.7378 — pp. 381-399

Authors: Appolinaire Dossavi-Yovo, Florian Luca and Alain Togbé

Abstract:

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Keywords: Pell equation, rep-digit, linear forms in complex and p-adic logarithms

Mathematics Subject Classification: 11B39, 11A25, 11J86