Pisano Periods For The K-Fibonacci And K-Lucas Sequences Mod 2ⁿ

Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1988
Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü

The goal of this paper is to investigate period of ?-Lucas sequence with related divisibilityproperties and periods of ?-Fibonacci and ?-Lucas sequences mod 2n-

PDF

___

Bolat, C., Köse, H., “On the properties of k-fibonacci numbers”, International Journal of Contemporary Mathematical Sciences, 5(22): 1097-1105, (2010).
Falcon, Plaza, A., “On the fibonacci k-numbers”, Chaos, Solutions and Fractals, , 32: 1615-1624, (2007).
Falcon, S., Plaza, A., “K-fibonacci sequences modulo m”, Chaos, Solutions and Fractals, 41: 497- 504, (2009).
Falcon, S., “On the k-lucas numbers”, International Journal of Contemporary Mathematical Sciences, 21: 1039-1050, (2011).
Falcon, S., Plaza, A., “The k-fibonacci sequences and the pascal 2-triangle”, Chaos, Solutions and Fractals, 33: 38-49, (2007).
Falcon, S., Plaza, A., “On k-fibonacci sequences and polynomials and their derivatives”, Chaos, Solutions and Fractals, 39: 1005-1019, (2007).
Kocer, E.G., Tunces, S., “Bivariate fibonacci and lucas like polynomials”, GU J Sci, 29(1): 109-113, (2016).
Kramer, J., Hoggat, V. E., “Special cases of fibonacci periodicity”, The Fibonacci Quarterly, 10(5): 519-522, (1972).
Niven, I., Zuckerman, H.S., Montegomery, H.L., “An ıntroduction to the theory of numbers”, 5 nd ed., John Wiley Sons, Inc., (1991).
Rogers, N., Campbell, C. W., “The period of the fibonacci sequence modulo j”, Phd, The University of Arizona, Tucson, USA, (2007)
Vajda, S., “Fibonacci and lucas numbers, and the golden section, theory and applications”, Ellis Horwood Limited, (1989).
Wall, D. D., “Fibonacci series modulo m”, The American Mathematical Monthly, 67: 525-532, (1960).