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JACOBSTHAL FAMILY MODULO m

Yıl 2016, Cilt: 6 Sayı: 1, 15 - 21, 01.06.2016

Öz

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.

Kaynakça

  • 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.
  • Wall,D.D., (1960), Fibonacci series modulo m, Amer. Math. Monthly 67, pp. 525-532.
Yıl 2016, Cilt: 6 Sayı: 1, 15 - 21, 01.06.2016

Öz

Kaynakça

  • 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.
  • Wall,D.D., (1960), Fibonacci series modulo m, Amer. Math. Monthly 67, pp. 525-532.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Y. Yazlık Bu kişi benim

N. Yılmaz

N. Taskara Bu kişi benim

K. Uslu Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 6 Sayı: 1

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