Repdigits as Product of Fibonacci and Pell numbers

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.

Keywords:

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

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ISSN: 2587-0971
Başlangıç: 2016
Yayıncı: Ahmet Ocak AKDEMİR

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