Luca, Florian and Togan, Sossa Victorin and Togbé, Alain (2019) On the X-coordinates of Pell equations which are rep-digits, II. Annales Mathematicae et Informaticae, 50. pp. 131-144. ISSN 1787-5021 (Print) 1787-6117 (Online)
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Official URL: https://doi.org/10.33039/ami.2018.12.002
Abstract
For a positive integer d which is not a square, we show that there is at most one value of the positive integer X participating in the Pell equation X2-dY2=±4 which is a rep-digit, that is all its base 10 digits are equal, except for d=2,5,13.
| Item Type: | Article |
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| Uncontrolled Keywords: | Pell equation, Rep-digit, Linear forms in complex logarithms |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 20 Dec 2019 10:35 |
| Last Modified: | 03 Apr 2023 06:41 |
| URI: | http://real.mtak.hu/id/eprint/104757 |
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