Abstract
Let (Fk,n)n and (Lk,n)n be the k-Fibonacci and k-Lucas sequence, respectively, which satisfies the same recursive relation an+1 = kan + an−1 with initial values Fk,0 = 0, Fk,1 = 1, Lk,0 = 2 and Lk,1 = k. In this paper, we characterize the p-adic orders νp(Fk,n) and νp(Lk,n) for all primes p and all positive integers k.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: p-Adic Numbers, Ultrametric Analysis and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
