Açık Akademik Arşiv Sistemi

Browsing by Subject "Diophantine equations"

Browsing by Subject "Diophantine equations"

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  • FIBONACCI NUMBERS WHICH ARE CONCATENATIONS OF THREE REPDIGITS 
    Erduvan, Fatih; Keskin, Refik (2022)
    In this study, it is proved that the only Fibonacci numbers which are con-catenations of three repdigits are 144, 233, 377, 610, 987, 17711.
  • Generalized Fibonacci and Lucas numbers of the form kx2 
    Karaatlı, Olcay (Sakarya Üniversitesi, 2015)
    Genelleştirilmiş Fibonacci ve Lucas dizilerinin özelliklerini içeren araştırmalar zamanla matematikçilerin ilgisini çekmiştir. Bu araştırmalar hangi durumlarda genelleştirilmiş Fibonacci ve Lucas dizilerinin terimlerinin ...
  • Repdigits Base b as Difference of Two Fibonacci Numbers 
    Siar, Zafer; Erduvan, Fatih; Keskin, Refik (GLOBAL SCIENCE PRESS, 2022)
    In this paper, we find all repdigits expressible as difference of two Fibonacci numbers in base b for 2 <= b <= 10. The largest repdigits in base b, which can be written as difference of two Fibonacci numbers are F-9 - F-4 ...
  • REPDIGITS IN THE BASE b AS SUMS OF FOUR BALANCING NUMBERS 
    Keskin, Refik; Erduvan, Fatih (INST MATHEMATICS, AS CR, 2021)
    The sequence of balancing numbers (B-n) is defined by the recurrence relation B-n = 6B(n-1) - Bn-2 for n >= 2 with initial conditions B-0 = 0 and B-1 = 1. B-n is called the nth balancing number. In this paper, we find all ...
  • Some identities and diophantine equations including generalized fibonacci and lucas numbers 
    Şiar, Zafer (Sakarya Üniversitesi, 2012)
    İlk bölümde, ilk olarak, Fibonacci ve Lucas sayılarından kısaca bahsedilmiştir. Ayrıca, genelleştirilmiş Fibonacci ve Lucas dizilerinin tanımları verilmiştir. Sonra genelleştirilmiş Fibonacci ve Lucas dizileriyle ilgili ...