Zafer cSiar

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20172022

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

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math.NT2018

On the Exponential Diophantine Equation $(a^{2} - 2) (b^{2} - 2) = x^{2}$

Zafer Şiar, Refik Keskin

In this paper, we consider the equation $(a^{n} - 2^{m}) (b^{n} - 2^{m}) = x^{2}$ . By assuming the abc conjecture is true, in [8], Luca and Walsh gave a theorem, which implies that the above eq…

On the Exponential Diophantine Equation (a2−2)(b2−2)=x2

On the Exponential Diophantine Equation $(a^{2} - 2) (b^{2} - 2) = x^{2}$