Açık Akademik Arşiv Sistemi

Browsing by Author "Erduvan, Fatih"

Browsing by Author "Erduvan, Fatih"

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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.
  • Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b 
    Siar, Zafer; Keskin, Refik; Erduvan, Fatih (SPRINGER HEIDELBERG, 2021)
    In this study, we find all Fibonacci and Lucas numbers which can be expressible as a product of two repdigits in the base b. It is shown that the largest Fibonacci and Lucas numbers which can be expressible as a product ...
  • Fibonacci ve lucas sayılarını içeren bazı üstel diyofant denklemlerinin çözümleri 
    Erduvan, Fatih (Sakarya Üniversitesi, 2021)
    Bu tez beş bölümden oluşmaktadır. Birinci bölümde Diyofant denklemleri ile Fibonacci ve Lucas sayılarının kısa bir tarihçesi verildi. Daha sonra Fibonacci ve Lucas sayılarını içeren bazı Diyofant denklemlerinden bahsedildi. ...
  • Lucas numbers which are concatenations of three repdigits 
    Erduvan, Fatih; Keskin, Refik (SPRINGER BASEL AG, 2021)
    In this study, it is shown that the only Lucas numbers which are concatenations of three repdigits are 123, 199, 322, 521, 843, 2207, 5778. The proof depends on lower bounds for linear forms and some tools from Diophantine ...
  • Lucas numbers which are concatenations of two repdigits 
    Erduvan, Fatih; Keskin, Refik (SPRINGER INTERNATIONAL PUBLISHING AG, 2021)
    In this study, we show that the only Lucas numbers that are concatenations of two repdigits are 11, 18, 29, 47, 76, 199, 322.
  • REPDIGITS AS DIFFERENCE OF TWO PELL OR PELL-LUCAS NUMBERS 
    Erduvan, Fatih; Keskin, Refik (2023)
    Abstract: Bismuth vanadate (BiVO4)-cement composites were coated on concrete surfaces, which were fabricated with differing amounts of BiVO4 (0, 20, and 40 wt%) in Portland cement. The photocatalytic methylene blue (MB) ...
  • Repdigits as products of two Fibonacci or Lucas numbers 
    Erduvan, Fatih; Keskin, Refik (SPRINGER INDIA, 2020)
    In this study, we show that if 2 < m < n and Fm Fn represents a repdigit, then (m, n) belongs to the set {(2, 2), (2, 3), (3, 3), (2, 4), (3, 4), (4, 4), (2, 5), (2, 6), (2, 10)}. Also, we show that if 0 < m < n and Lm L ...
  • 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 basebas products of two Lucas numbers 
    Erduvan, Fatih; Keskin, Refik; Siar, Zafer (NATL INQUIRY SERVICES CENTRE PTY LTD, )
    Let (L-n) be the sequence of Lucas numbers defined byL(0)= 2, L-1= 1, andL(n)=Ln-1+L(n-2)forn >= 2. Let 0 <= m <= nandb= 2,3,4,5,6,7,8,9.In this study, we show that ifL(m)L(n)is a repdigit in the baseband has at least two ...
  • 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 ...