Pell and Pell-Lucas numbers of the form
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 1, page 281-289
- ISSN: 0011-4642
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topQu, Yunyun, and Zeng, Jiwen. "Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$." Czechoslovak Mathematical Journal 70.1 (2020): 281-289. <http://eudml.org/doc/297399>.
@article{Qu2020,
abstract = {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 $0\le \max \lbrace a,b\rbrace \le c$.},
author = {Qu, Yunyun, Zeng, Jiwen},
journal = {Czechoslovak Mathematical Journal},
keywords = {Pell number; Pell-Lucas number; linear form in logarithms; continued fraction; reduction method},
language = {eng},
number = {1},
pages = {281-289},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$},
url = {http://eudml.org/doc/297399},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Qu, Yunyun
AU - Zeng, Jiwen
TI - Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 1
SP - 281
EP - 289
AB - 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 $0\le \max \lbrace a,b\rbrace \le c$.
LA - eng
KW - Pell number; Pell-Lucas number; linear form in logarithms; continued fraction; reduction method
UR - http://eudml.org/doc/297399
ER -
References
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