Lucas numbers which are products of two Pell numbers
Yazarlar (2)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
Mehmet Varol Kastamonu Üniversitesi, Türkiye
Makale Türü Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı Fibonacci Quarterly
Dergi ISSN 0015-0517 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler E-SCI
Makale Dili Türkçe Basım Tarihi 01-2025
Cilt / Sayı / Sayfa 63 / 1 / 78–83 DOI 10.1080/00150517.2024.2412958
Özet
The main objective of the paper is to determine all the cases in which Lucas numbers are the product of two Pell numbers, or vice versa, when Pell numbers are the product of two Lucas numbers. To prove our results, we use the Matveev theorem for lower bounds for linear forms in logarithms and the Dujella and Pethő reduction lemma in Diophantine approximation.
Anahtar Kelimeler
linear form in logarithm | Lucas number | Matveev theorem | Pell number | reduction method
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 1
Google Scholar 3
Lucas numbers which are products of two Pell numbers

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