Mersenne numbers that are expressible as the summation of two Fibonacci numbers
Yazarlar (1)
Dr. Öğr. Üyesi Ahmet EMİN
Karabük Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | The Aligarh Bulletin of Mathematics |
| Dergi ISSN | 0304-9787 |
| Dergi Tarandığı Indeksler | AMS MathSciNet (Mathematical Reviews), Zentralblatt fur Mathematik (Germany), Реферативный журнал -- Математика (Russia), Current Mathematical Publications (USA), Ulrichsweb (USA), EBSCO (USA) |
| Makale Dili | İngilizce |
| Basım Tarihi | 10-2024 |
| Cilt No | 43 |
| Sayı | 1 |
| Sayfalar | 65 / 76 |
| Makale Linki | https://tabmaths.com/issues/Tabmath-Vol43-Number-1-2024/paper7.pdf |
| Özet |
| This study presents an investigation of the Mersenne numbers that can be written in terms of the summation of two random Fibonacci numbers within the context of linear forms in logarithms of algebraic numbers by using Matveev’s theorem and Dujella-Pethö reduction lemma. More precisely, all the solutions to the Diophantine equation Mk= Fm+ Fn are presented in this study. |
| Anahtar Kelimeler |
