Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593326 | Journal of Number Theory | 2016 | 18 Pages |
Abstract
In this note, we study the divisibility relation Um|Un+ks−Uns, where U:={Un}n≥0U:={Un}n≥0 is the Lucas sequence of characteristic polynomial x2−ax±1x2−ax±1 and k,m,n,sk,m,n,s are positive integers.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yuri F. Bilu, Takao Komatsu, Florian Luca, Amalia Pizarro-Madariaga, Pantelimon Stănică,