Work

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

Year: 2025

Type: article

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.

Source: Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

DOI: 10.25092/baunfbed.1554641

Authors: Ahmet Emin, Ahmet Daşdemir

Institutions: Karabük University, Kastamonu University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408762924

FWCI:

Cites: 20

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Related to: 10