Have a personal or library account? Click to login
The GCD Sequences of the Altered Lucas Sequences Cover

The GCD Sequences of the Altered Lucas Sequences

By: Fikri Koken  
Open Access
|Jun 2020

References

  1. [1] K.-W. Chen, Greatest common divisors in shifted Fibonacci sequences, J. Integer. Seq. 14 (2011), no. 4, Article 11.4.7, 8 pp.
  2. [2] U. Dudley and B. Tucker, Greatest common divisors in altered Fibonacci sequences, Fibonacci Quart. 9 (1971), no. 1, 89–91.
  3. [3] L. Hajdu and M. Szikszai, On the GCD-s of k consecutive terms of Lucas sequences, J. Number Theory 132 (2012), no. 12, 3056–3069.
  4. [4] S. Hernández and F. Luca, Common factors of shifted Fibonacci numbers, Period. Math. Hungar. 47 (2003), no. 1-2, 95–110.
  5. [5] L. Jones, Primefree shifted Lucas sequences, Acta Arith. 170 (2015), no. 3, 287–298.
  6. [6] T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, 2001.10.1002/9781118033067
  7. [7] A. Rahn and M. Kreh, Greatest common divisors of shifted Fibonacci sequences revisited, J. Integer. Seq. 21 (2018), no. 6, Art. 18.6.7, 12 pp.
  8. [8] J. Spilker, The GCD of the shifted Fibonacci sequence, in: J. Sander et al. (eds.), From Arithmetic to Zeta-Functions, Springer, Cham, 2016, pp. 473–483.10.1007/978-3-319-28203-9_28
DOI: https://doi.org/10.2478/amsil-2020-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 222 - 240
Submitted on: Jun 19, 2019
Accepted on: Mar 16, 2020
Published on: Jun 22, 2020
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Fikri Koken, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.