Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 281-289
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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 $0\leq \max \{a,b\}\leq c$.
DOI :
10.21136/CMJ.2019.0265-18
Classification :
11B39, 11D61, 11J86
Keywords: Pell number; Pell-Lucas number; linear form in logarithms; continued fraction; reduction method
Keywords: Pell number; Pell-Lucas number; linear form in logarithms; continued fraction; reduction method
@article{10_21136_CMJ_2019_0265_18,
author = {Qu, Yunyun and Zeng, Jiwen},
title = {Pell and {Pell-Lucas} numbers of the form $-2^a-3^b+5^c$},
journal = {Czechoslovak Mathematical Journal},
pages = {281--289},
publisher = {mathdoc},
volume = {70},
number = {1},
year = {2020},
doi = {10.21136/CMJ.2019.0265-18},
mrnumber = {4078359},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0265-18/}
}
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 SP - 281 EP - 289 VL - 70 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0265-18/ DO - 10.21136/CMJ.2019.0265-18 LA - en ID - 10_21136_CMJ_2019_0265_18 ER -
%0 Journal Article %A Qu, Yunyun %A Zeng, Jiwen %T Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$ %J Czechoslovak Mathematical Journal %D 2020 %P 281-289 %V 70 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0265-18/ %R 10.21136/CMJ.2019.0265-18 %G en %F 10_21136_CMJ_2019_0265_18
Qu, Yunyun; Zeng, Jiwen. Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 281-289. doi: 10.21136/CMJ.2019.0265-18
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