Conference Paper
Year 2024,
Volume: 28, 224 - 233, 01.08.2024
Abstract
References
- Awad, Y., Mghames, R., & Amin, K. (2024). On mersenne power GCD matrices. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 224-233.
Year 2024,
Volume: 28, 224 - 233, 01.08.2024
Abstract
This paper explores the π Γ π Mersenne power GCD matrices defined on sets of positive integers, focusing on factor-closed and gcd-closed sets. By employing the form π(π‘π ,π‘π) = 2 (π‘π ,π‘π ) β 1, we investigate the π π‘β power Mersenne GCD matrix (ππ ) 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.
References
- Awad, Y., Mghames, R., & Amin, K. (2024). On mersenne power GCD matrices. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 224-233.
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Details
| Primary Language | English |
|---|---|
| Subjects | Software Engineering (Other) |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | July 22, 2024 |
| Publication Date | August 1, 2024 |
| Submission Date | February 5, 2024 |
| Acceptance Date | April 17, 2024 |
| Published in Issue | Year 2024Volume: 28 |
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