The k-Generalized Lucas Numbers Close to a Power of 2
Mathematica Slovaca, cilt.73, sa.4, ss.871-882, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 73 Sayı: 4
- Basım Tarihi: 2023
- Doi Numarası: 10.1515/ms-2023-0064
- Dergi Adı: Mathematica Slovaca
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.871-882
- Anahtar Kelimeler: Baker method, k-generalized Lucas sequence, LLL reduction
- Hatay Mustafa Kemal Üniversitesi Adresli: Evet
Özet
Let k ≥ 2 be a fixed integer. The k-generalized Lucas sequence {Ln(k)}n≥0 starts with the positive integer initial values k, 1, 3, ⋯, 2k-1 - 1, and each term afterward is the sum of the k consecutive preceding elements. An integer n is said to be close to a positive integer m if n satisfies | n-m |