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Browsing Makale Koleksiyonu by Author "Demirtürk Bitim, Bahar"

Browsing Makale Koleksiyonu by Author "Demirtürk Bitim, Bahar"

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  • Fibonacci and Lucas Congruences and Their Applications 
    Keskin, Refik; Demirtürk Bitim, Bahar (SPRINGER HEIDELBERG, 2011)
    In this paper we obtain some new identities containing Fibonacci and Lucas numbers. These identities allow us to give some congruences concerning Fibonacci and Lucas numbers such as L2mn+k equivalent to (-1)((m+1)n) L-k ...
  • On some Diophantine equations 
    Demirtürk Bitim, Bahar; Keskin, Refik (SPRINGEROPEN, 2013)
    for p >= 3 and a square-free integer p(2) - 4. In addition to these, all solutions of some different Diophantine equations such as x(2) - v(2n)xy + y(2) = -(p(2) - 4)u(n)(2), x(2) - v(n)xy + y(2) = -(p(2) - 4), x(2) - ...
  • On Suborbital Graphs for the Normalizer of Gamma(0)(N) 
    Keskin, Refik; Demirtürk Bitim, Bahar (ELECTRONIC JOURNAL OF COMBINATORICS, 2009)
    where n>1, v is an element of Q boolean OR {infinity} and T is an elliptic mapping of order k in the normalizer of Gamma(0)(N).
  • Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences 
    Keskin, Refik; Demirtürk Bitim, Bahar (CHARLES BABBAGE RES CTR, 2013)
    In this study, we deal with some Diophantine equations. By using the generalized Fibonacci and Lucas sequences, we obtain all integer solutions of some Diophantine equations such as x(2) - kxy - y(2) = -/+ 1, x(2) - kxy + ...
  • SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS 
    Zvonko Cerin; Demirtürk Bitim, Bahar; Keskin, Refik (HONAM MATHEMATICAL SOC, 2018)
    In this paper we obtain some formulae for several sums of generalized Fibonacci numbers U-n and generalized Lucas numbers V-n and their dual forms G(n) and H-n by using extensions of an interesting identity by A. R. Amini ...