On the least common multiple of Lucas subsequences

Shigeki Akiyama; Florian Luca

Acta Arithmetica, Tome 161 (2013), p. 327-349 / Harvested from The Polish Digital Mathematics Library

Résumé

We compare the growth of the least common multiple of the numbers $u_{a_{1}}, . . ., u_{a_{n}}$ and $| u_{a_{1}} \dots u_{a_{n}} |$ , where ${(u_{n})}_{n \geq 0}$ is a Lucas sequence and ${(a_{n})}_{n \geq 0}$ is some sequence of positive integers.

Publié le : 2013-01-01

Zbl 1306.11002

EUDML-ID : urn:eudml:doc:279041

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     author = {Shigeki Akiyama and Florian Luca},
     title = {On the least common multiple of Lucas subsequences},
     journal = {Acta Arithmetica},
     volume = {161},
     year = {2013},
     pages = {327-349},
     zbl = {1306.11002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa161-4-2}
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Shigeki Akiyama; Florian Luca. On the least common multiple of Lucas subsequences. Acta Arithmetica, Tome 161 (2013) pp. 327-349. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa161-4-2/