JACOBSTHAL FAMILY MODULO m

Volume: 6 Number: 1 June 1, 2016
EN

JACOBSTHAL FAMILY MODULO m

Abstract

In this study, we investigate sets of remainder of the Jacobsthal and JacobsthalLucas numbers modulo m for some positive integers m. Also some properties related to these sets and a new method to calculate the length of period modulo m is given.

Keywords

References

  1. Djordjevic,G.B., (2007), Mixed convolutions of the Jacobsthal type, Applied Mathematics and Com- putation 186, pp. 646-651.
  2. Falcon,F. and Plaza,A., (2009), k-Fibonacci sequences modulo m, Chaos, Solitons and Fractals 41, pp. 497-504.
  3. Frey,D.D. and Sellers,J.A., (2000), Jacobsthal numbers and alternating sign matrices, Journal of Integer Sequences 3, article 00.2.3.
  4. Fulton,J.D. and Morris,W.L., (1969/1970), On arithmetical functions related to the Fibonacci numbers, Acta Arithmetica 16, pp. 105-110.
  5. Guo,C. and Koch,A., (2009), Bounds for Fibonacci period growth, Involve A Journal of Mathematics 2.
  6. Horadam,A.F., (1996), Jacobsthal representation numbers, Fibonacci Quarterly 34, pp. 40-54.
  7. Koshy,T., (2001), Fibonacci and Lucas Numbers with Applications, John Wiley and Sons Inc, NY.
  8. Renault,M., (1996), Properties of the Fibonacci sequence under various moduli, Master’s thesis, Wake Forest University.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Y. Yazlık This is me

N. Taskara This is me

K. Uslu This is me

Publication Date

June 1, 2016

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2016 Volume: 6 Number: 1

APA
Yazlık, Y., Yılmaz, N., Taskara, N., & Uslu, K. (2016). JACOBSTHAL FAMILY MODULO m. TWMS Journal of Applied and Engineering Mathematics, 6(1), 15-21. https://izlik.org/JA86GK83ZP
AMA
1.Yazlık Y, Yılmaz N, Taskara N, Uslu K. JACOBSTHAL FAMILY MODULO m. JAEM. 2016;6(1):15-21. https://izlik.org/JA86GK83ZP
Chicago
Yazlık, Y., N. Yılmaz, N. Taskara, and K. Uslu. 2016. “JACOBSTHAL FAMILY MODULO M”. TWMS Journal of Applied and Engineering Mathematics 6 (1): 15-21. https://izlik.org/JA86GK83ZP.
EndNote
Yazlık Y, Yılmaz N, Taskara N, Uslu K (June 1, 2016) JACOBSTHAL FAMILY MODULO m. TWMS Journal of Applied and Engineering Mathematics 6 1 15–21.
IEEE
[1]Y. Yazlık, N. Yılmaz, N. Taskara, and K. Uslu, “JACOBSTHAL FAMILY MODULO m”, JAEM, vol. 6, no. 1, pp. 15–21, June 2016, [Online]. Available: https://izlik.org/JA86GK83ZP
ISNAD
Yazlık, Y. - Yılmaz, N. - Taskara, N. - Uslu, K. “JACOBSTHAL FAMILY MODULO M”. TWMS Journal of Applied and Engineering Mathematics 6/1 (June 1, 2016): 15-21. https://izlik.org/JA86GK83ZP.
JAMA
1.Yazlık Y, Yılmaz N, Taskara N, Uslu K. JACOBSTHAL FAMILY MODULO m. JAEM. 2016;6:15–21.
MLA
Yazlık, Y., et al. “JACOBSTHAL FAMILY MODULO M”. TWMS Journal of Applied and Engineering Mathematics, vol. 6, no. 1, June 2016, pp. 15-21, https://izlik.org/JA86GK83ZP.
Vancouver
1.Y. Yazlık, N. Yılmaz, N. Taskara, K. Uslu. JACOBSTHAL FAMILY MODULO m. JAEM [Internet]. 2016 Jun. 1;6(1):15-21. Available from: https://izlik.org/JA86GK83ZP