Article detail · 2025 · article
Diophantine equations on cross-multiplicative forms of the Pell and Pell-Lucas numbers
Journal
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
ISSN1301-7985
YÖKSİS
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Abstract
This study aims to explore all Pell numbers that are the product of two random Pell-Lucas numbers and all Pell-Lucas numbers that are the product of two random Pell numbers based on linear forms in logarithms of algebraic numbers using Matveev's theorem and Dujella - Pethő reduction lemma. Further, we find all the common terms of Pell and Pell-Lucas numbers and show that no Pell and no Pell-Lucas numbers can be written as a square of another.
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