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Diophantine equations on cross-multiplicative forms of the Pell and Pell-Lucas numbers

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dc.contributor.authorEmin, Ahmet
dc.contributor.authorDaşdemir, Ahmet
dc.date.accessioned2026-01-04T22:15:53Z
dc.date.issued2025-07-15
dc.description.abstractThis 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.
dc.description.urihttps://doi.org/10.25092/baunfbed.1554641
dc.identifier.doi10.25092/baunfbed.1554641
dc.identifier.endpage474
dc.identifier.issn1301-7985
dc.identifier.openairedoi_________::0c880edadafe92c10feb84b15b490387
dc.identifier.orcid0000-0001-7791-7181
dc.identifier.orcid0000-0001-8352-2020
dc.identifier.startpage464
dc.identifier.urihttps://hdl.handle.net/20.500.12597/42854
dc.identifier.volume27
dc.publisherBalikesir Universitesi Fen Bilimleri Enstitusu Dergisi
dc.relation.ispartofBalıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
dc.rightsOPEN
dc.titleDiophantine equations on cross-multiplicative forms of the Pell and Pell-Lucas numbers
dc.typeArticle
dspace.entity.typePublication
local.import.sourceOpenAire

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