1Institute of Mathematics University of Tsukuba Tennodai 1-1-1, Tsukuba, Ibaraki 305-8571, Japan 2Mathematical Institute, UNAM 04150, Mexico DF, Mexico and School of Mathematics University of the Witwatersrand P.O. Box Wits 2050, South Africa
Acta Arithmetica, Tome 161 (2013) no. 4, pp. 327-349
We compare the growth of the least common multiple of the numbers $u_{a_1},\ldots ,u_{a_n}$ and $|u_{a_1} \cdots u_{a_n}|$, where $(u_n)_{n\ge 0}$ is a Lucas sequence and $(a_n)_{n\ge 0}$ is some sequence of positive integers.
Keywords:
compare growth least common multiple numbers ldots cdots where lucas sequence sequence positive integers
Affiliations des auteurs :
Shigeki Akiyama
1
;
Florian Luca
2
1
Institute of Mathematics University of Tsukuba Tennodai 1-1-1, Tsukuba, Ibaraki 305-8571, Japan
2
Mathematical Institute, UNAM 04150, Mexico DF, Mexico and School of Mathematics University of the Witwatersrand P.O. Box Wits 2050, South Africa
@article{10_4064_aa161_4_2,
author = {Shigeki Akiyama and Florian Luca},
title = {On the least common multiple of {Lucas} subsequences},
journal = {Acta Arithmetica},
pages = {327--349},
year = {2013},
volume = {161},
number = {4},
doi = {10.4064/aa161-4-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa161-4-2/}
}
TY - JOUR
AU - Shigeki Akiyama
AU - Florian Luca
TI - On the least common multiple of Lucas subsequences
JO - Acta Arithmetica
PY - 2013
SP - 327
EP - 349
VL - 161
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4064/aa161-4-2/
DO - 10.4064/aa161-4-2
LA - en
ID - 10_4064_aa161_4_2
ER -
%0 Journal Article
%A Shigeki Akiyama
%A Florian Luca
%T On the least common multiple of Lucas subsequences
%J Acta Arithmetica
%D 2013
%P 327-349
%V 161
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/aa161-4-2/
%R 10.4064/aa161-4-2
%G en
%F 10_4064_aa161_4_2
Shigeki Akiyama; Florian Luca. On the least common multiple of Lucas subsequences. Acta Arithmetica, Tome 161 (2013) no. 4, pp. 327-349. doi: 10.4064/aa161-4-2
