On a divisibility relation for Lucas sequences

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Authors
Komatsu, Takao
Luca, Florian
Pizarro-Madariaga, Amalia
Stănică, Pantelimon
Subjects
Lucas sequence
Roots of unity
Divisibility
Advisors
Date of Issue
2015-11-06
Date
Publisher
American Mathematical Society
Language
Abstract
In this note, we study the divisibility relation U(m) | U(8/n+k) - U(8/n') where U := {Un}n>/-0s the Lucas sequence of characteristic polynomial x(2) - ax +/- 1 and k, m, n, s are fixed positive integers.
Type
Article
Description
URI
https://hdl.handle.net/10945/47534
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Work of A.P. was partly financed by Project DIUV-REG no 25-2013
Funder
Format
18 p.
Citation
arXic:1511.01970v1 [math.NT] 6 Nov 2015
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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