Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

The X-coordinates of Pell equations and Padovan numbers

Sayfa
207–223
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.

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Amaç & Hipotez:: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
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Temel Bulgular & Veri:: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
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Sonuç & Katkı:: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.

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Bu Makaleye Atıf Yap

RIHANE, S. E., HERNANE, M. O., TOGBE, A. (2022). The X-coordinates of Pell equations and Padovan numbers. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 207–223. https://ajindex.com/articles/607678

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Kaynakça (9)

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