Article
Repdigits as Product of Fibonacci and Pell numbers
Authors
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, Baker’s theory.
Citation
Cagman, A. (2021). Repdigits as product of fibonacci and pell numbers. Turkish Journal of Science, 6(1), 31–35. https://doi.org/10.66833/TJOS-2021-0005
A. Cagman, “Repdigits as product of fibonacci and pell numbers,” Turkish Journal of Science, vol. 6, no. 1, pp. 31–35, 2021, doi: 10.66833/TJOS-2021-0005.
Cagman A. Repdigits as product of fibonacci and pell numbers. Turkish Journal of Science. 2021;6(1):31–35. doi:10.66833/TJOS-2021-0005.
Cagman, A. (2021), ‘Repdigits as product of fibonacci and pell numbers’, Turkish Journal of Science, 6(1), pp. 31–35. Available at: https://doi.org/10.66833/TJOS-2021-0005.
Cagman, Abdullah. “Repdigits as Product of Fibonacci and Pell Numbers.” Turkish Journal of Science, vol. 6, no. 1, 2021, pp. 31–35. https://doi.org/10.66833/TJOS-2021-0005.
Cagman, Abdullah. “Repdigits as Product of Fibonacci and Pell Numbers.” Turkish Journal of Science 6, no. 1 (2021): 31–35. https://doi.org/10.66833/TJOS-2021-0005.
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Published by: Engineering Journals
