Pell Numbers that can be Written as the Sum of Two Mersenne Numbers
Yazarlar (1)
Dr. Öğr. Üyesi Ahmet EMİN Karabük Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Bulletin of the International Mathematical Virtual Institute | ||
| Dergi ISSN | 2303-4874 | ||
| Dergi Tarandığı Indeksler | Mathematical Reviews (USA), Zentralblatt fur Mathematik (Germany), Реферативный журнал -- Математика (Russia), Current Mathematical Publications (USA), Ulrichsweb (USA), EBSCO (USA) | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2024 |
| Cilt / Sayı / Sayfa | 14 / 1 / 129–137 | DOI | 10.7251/BIMVI2401129E |
| Makale Linki | https://www.imvibl.org/buletin/bulletin_imvi_14_1_24_129_137.pdf | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| This study reports an investigation of the Pell (or Mersenne) numbers that can be written in terms of the summation of two random Mersenne (or Pell) numbers within the framework 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 equations Pk= Mm+ Mn and Mk= Pm+ Pn are presented herein. Additionally, the maple codes used in the calculations made throughout the article are also shared. |
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| Google Scholar | 6 |