Öz
Kaynakça
- Awad, Y., Mghames, R., & Amin, K. (2024). On mersenne power GCD matrices. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 224-233.
Öz
This paper explores the 𝑛 × 𝑛 Mersenne power GCD matrices defined on sets of positive integers, focusing on factor-closed and gcd-closed sets. By employing the form 𝑓(𝑡𝑖 ,𝑡𝑗) = 2 (𝑡𝑖 ,𝑡𝑗 ) − 1, we investigate the 𝑟 𝑡ℎ power Mersenne GCD matrix (𝑀𝑟 ) and provide comprehensive insights into its factorizations, determinants, reciprocals, and inverses. Building upon previous research, particularly Chun's work on power GCD matrices, we extend the analysis to Mersenne numbers, offering a thorough understanding of their properties. The study contributes to the broader understanding of arithmetic functions and their applications in matrix theory.
Anahtar Kelimeler
Power GCD Matrix Factor-closed sets GCD-closed sets Mersenne numbers
Kaynakça
- Awad, Y., Mghames, R., & Amin, K. (2024). On mersenne power GCD matrices. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 224-233.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Yazılım Mühendisliği (Diğer) |
| Bölüm | Makaleler |
| Yazarlar | |
| Erken Görünüm Tarihi | 22 Temmuz 2024 |
| Yayımlanma Tarihi | 1 Ağustos 2024 |
| Gönderilme Tarihi | 5 Şubat 2024 |
| Kabul Tarihi | 17 Nisan 2024 |
| Yayımlandığı Sayı | Yıl 2024 Cilt: 28 |
