Zafer cSiar

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20172022

most citedAn exponential Diophantine equation related to the difference of powers of two Fibonacci numbers

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2020

Repdigits in k-generalized Pell sequence

Zafer Şiar, Refik Keskin

Let $k \geq 2$ and let $(P_{n}^{(k)})_{n \geq 2 - k}$ be $k$ -generalized Pell sequence defined by \begin{equation*}P_{n}^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+...+P_{n-k}^{(k)}\end{equati…

math.NT2020★ 1 cited

An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers

Zafer Şiar

In this paper, we prove that there is no x>=4 such that the difference of x-th powers of two consecutive Fibonacci numbers greater than 0 is a Lucas number.