On the least common multiple of Lucas subsequences

Shigeki Akiyama, and Florian Luca. "On the least common multiple of Lucas subsequences." Acta Arithmetica 161.4 (2013): 327-349. <http://eudml.org/doc/279041>.

@article{ShigekiAkiyama2013,
abstract = {We compare the growth of the least common multiple of the numbers $u_\{a_1\},...,u_\{a_n\}$ and $|u_\{a_1\} ⋯ u_\{a_n\}|$, where $(u_n)_\{n≥0\}$ is a Lucas sequence and $(a_n)_\{n≥0\}$ is some sequence of positive integers.},
author = {Shigeki Akiyama, Florian Luca},
journal = {Acta Arithmetica},
keywords = {primitive divisor; least common multiple; Lucas-Lehmer sequence},
language = {eng},
number = {4},
pages = {327-349},
title = {On the least common multiple of Lucas subsequences},
url = {http://eudml.org/doc/279041},
volume = {161},
year = {2013},
}

TY - JOUR
AU - Shigeki Akiyama
AU - Florian Luca
TI - On the least common multiple of Lucas subsequences
JO - Acta Arithmetica
PY - 2013
VL - 161
IS - 4
SP - 327
EP - 349
AB - We compare the growth of the least common multiple of the numbers $u_{a_1},...,u_{a_n}$ and $|u_{a_1} ⋯ u_{a_n}|$, where $(u_n)_{n≥0}$ is a Lucas sequence and $(a_n)_{n≥0}$ is some sequence of positive integers.
LA - eng
KW - primitive divisor; least common multiple; Lucas-Lehmer sequence
UR - http://eudml.org/doc/279041
ER -