The Library
ON PERFECT POWERS IN LUCAS SEQUENCES
Tools
Bugeaud, Yann, Luca, Florian, Mignotte, Maurice and Siksek, Samir (2005) ON PERFECT POWERS IN LUCAS SEQUENCES. INTERNATIONAL JOURNAL OF NUMBER THEORY, 1 (3). pp. 309-332. doi:10.1142/S1793042105000236 ISSN 1793-0421.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1142/S1793042105000236
Abstract
Let (u(n))(n >= 0) be the binary recurrence sequence of integers given by u(0) = 0, u(1) = 1 and u(n+2) = 2(u(n+1) + u(n)). We show that the only positive perfect powers in this sequence are u(1) = 1 and u(4) = 16. We further discuss the problem of determining perfect powers in Lucas sequences in general.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | INTERNATIONAL JOURNAL OF NUMBER THEORY | ||||
Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||
ISSN: | 1793-0421 | ||||
Official Date: | September 2005 | ||||
Dates: |
|
||||
Volume: | 1 | ||||
Number: | 3 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 309-332 | ||||
DOI: | 10.1142/S1793042105000236 | ||||
Publication Status: | Published | ||||
Funder: | France-Mexico ANUIES-ECOS | ||||
Grant number: | M01-M02 |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |