Repdigits as Product of Fibonacci and Pell numbers

Öz

In this paper, we find all repdigits which can be expressed as the product of a Fibonacci number and a Pell number. We use of a combined approach of lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method to prove our main result.

Anahtar Kelimeler

• Repdigit
• Fibonacci numbers
• Pell numbers
• Diophantine equation
• Baker’s theory

Kaynakça

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