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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
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Temel Bulgular & Veri:This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
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Sonuç & Katkı:This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lucas sequence · periodicity · rank of apparition
Abstract
This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
RAY, P. K., IRMAK, N., PATEL, B. K. (2022). The rank of apparition of powers of Lucas sequence. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 4, 1566–1570. https://ajindex.com/articles/607889