Repdigits as Product of Fibonacci and Pell numbers

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Turkish Journal of Science
Volume:6 Issue:1
Repdigits as Product of Fibonacci and Pell numbers

Repdigits as Product of Fibonacci and Pell numbers

Authors : Abdullah ÇAĞMAN

Pages : 31-35

View : 38 | Download : 13

Publication Date : 2021-04-30

Article Type : Research Paper

Abstract :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, Bakers theory

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