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Dergiler / Turkish Journal of Science / 2026 / Cilt: 6 Sayı: 1

Repdigits as Product of Fibonacci and Pell numbers

Abdullah Çağman(Ağrı İbrahim Çeçen Üniversitesi)0000-0002-0376-7042
Sayfa
31–35
Yayın Tarihi
2021-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we find all repdigits which can be expressed as the product of a Fibonacci number and a Pell number.
📊
Temel Bulgular & Veri:In this paper, we find all repdigits which can be expressed as the product of a Fibonacci number and a Pell number.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Repdigit · Fibonacci numbers · Pell numbers

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.

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Bu Makaleye Atıf Yap

Çağman, A. (2021). Repdigits as Product of Fibonacci and Pell numbers. Turkish Journal of Science, Cilt: 6 Sayı: 1, 31–35. https://ajindex.com/articles/1557541

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Kaynakça (9)

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  9. Nigel P Smart. The algorithmic resolution of Diophantine equations: a computational cookbook, volume 41. Cambridge University Press, 1998.