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Squares in Lucas sequences and¶some Diophantine equations

✍ Scribed by Takaaki Kagawa; Nobuhiro Terai

Publisher
Springer
Year
1998
Tongue
English
Weight
141 KB
Volume
96
Category
Article
ISSN
0025-2611

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📜 SIMILAR VOLUMES

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Let [U n (P, Q)] and [V n (P, Q)] denote the Lucas sequence and companion Lucas sequence, respectively, with parameters P and Q. For all odd relatively prime values of P and Q such that D=P 2 &4Q is positive, we determine all indices n such that U n (P, Q), 2U n (P, Q), V n (P, Q) or 2V n (P, Q) is

Square-Classes in Lucas Sequences Having
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✍ Wayne L. McDaniel; Paulo Ribenboim 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 258 KB

Two or more terms of a sequence are said to be in the same square-class if the squarefree parts of the terms are identical. Let [U n (P, Q)] and [V n (P, Q)] denote the Lucas sequence and companion Lucas sequence, respectively, with parameters P and Q. For all odd relatively prime values of P and Q