Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 3

On the exponential Diophantine equation $P_n^x+P_{n+1}^x=P_m$

Sayfa
1640–1649
Yayın Tarihi
2019-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
📊
Temel Bulgular & Veri:In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
💡
Sonuç & Katkı:In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pell numbers · linear form in logarithms · reduction method

Abstract

In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.

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Bu Makaleye Atıf Yap

RIHANE, S. E., FAYE, B., LUCA, F., TOGBE, A. (2019). On the exponential Diophantine equation $P_n^x+P_{n+1}^x=P_m$. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1640–1649. https://ajindex.com/articles/185581

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