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
- Djordjevic,G.B., (2007), Mixed convolutions of the Jacobsthal type, Applied Mathematics and Com- putation 186, pp. 646-651.
- Falcon,F. and Plaza,A., (2009), k-Fibonacci sequences modulo m, Chaos, Solitons and Fractals 41, pp. 497-504.
- Frey,D.D. and Sellers,J.A., (2000), Jacobsthal numbers and alternating sign matrices, Journal of Integer Sequences 3, article 00.2.3.
- Fulton,J.D. and Morris,W.L., (1969/1970), On arithmetical functions related to the Fibonacci numbers, Acta Arithmetica 16, pp. 105-110.
- Guo,C. and Koch,A., (2009), Bounds for Fibonacci period growth, Involve A Journal of Mathematics 2.
- Horadam,A.F., (1996), Jacobsthal representation numbers, Fibonacci Quarterly 34, pp. 40-54.
- Koshy,T., (2001), Fibonacci and Lucas Numbers with Applications, John Wiley and Sons Inc, NY.
- Renault,M., (1996), Properties of the Fibonacci sequence under various moduli, Master’s thesis, Wake Forest University.
Details
Primary Language
English
Subjects
-
Journal Section
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Publication Date
June 1, 2016
Submission Date
-
Acceptance Date
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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