| Title:
|
Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$ (English) |
| Author:
|
Qu, Yunyun |
| Author:
|
Zeng, Jiwen |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
281-289 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we find all Pell and Pell-Lucas numbers written in the form $-2^a-3^b+5^c$, in nonnegative integers $a$, $b$, $c$, with $0\leq \max \{a,b\}\leq c$. (English) |
| Keyword:
|
Pell number |
| Keyword:
|
Pell-Lucas number |
| Keyword:
|
linear form in logarithms |
| Keyword:
|
continued fraction |
| Keyword:
|
reduction method |
| MSC:
|
11B39 |
| MSC:
|
11D61 |
| MSC:
|
11J86 |
| idZBL:
|
07217134 |
| idMR:
|
MR4078359 |
| DOI:
|
10.21136/CMJ.2019.0265-18 |
| . |
| Date available:
|
2020-03-10T10:20:20Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148055 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[10] Pethő, A.: The Pell sequence contains only trivial perfect powers.Sets, Graphs and Numbers G. Halász, et al. Colloq. Math. Soc. János Bolyai 60, North-Holland Publishing Company, Amsterdam (1992), 561-568. Zbl 0790.11021, MR 1218218 |
| Reference:
|
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| . |
