The Practical Significance of Exponentiation and the Divisibility Properties of Numbers
Keywords:
Exponentiation, Divisibility rules, Computational mathematics, Cryptographic applications, Algorithm optimization, Mathematical principlesAbstract
This study investigates the significance of exponentiation and number divisibility properties, focusing on their theoretical basis and real-world applications. Exponentiation plays a key role in various fields, including cryptography, computer science, and engineering, where it is essential for secure data encryption and complex calculations. Additionally, number divisibility properties are crucial in developing efficient computational algorithms and problem-solving techniques. This research aims to demonstrate how these mathematical concepts are applied in different disciplines, enhancing their effectiveness in modern technology and scientific advancements.
References
Knuth, D. E. (1997). The Art of Computer Programming, Volume 2: Seminumerical Algorithms (3rd ed.). Addison-Wesley.
Hardy, G. H., & Wright, E. M. (2008). An Introduction to the Theory of Numbers (6th ed.). Oxford University Press.
Rosen, K. H. (2018). Elementary Number Theory and Its Applications (7th ed.). Pearson.
Stallings, W. (2017). Cryptography and Network Security: Principles and Practice (7th ed.). Pearson.
Yan, S. Y. (2002). Number Theory for Computing (2nd ed.). Springer.
Cohen, H. (2008). Number Theory: Volume I: Tools and Diophantine Equations. Springer.
Koblitz, N. (1994). A Course in Number Theory and Cryptography (2nd ed.). Springer.
Biggs, N. L. (2002). Discrete Mathematics (2nd ed.). Oxford University Press.
Menezes, A. J., van Oorschot, P. C., & Vanstone, S. A. (1996). Handbook of Applied Cryptography. CRC Press.
Niven, I., Zuckerman, H. S., & Montgomery, H. L. (1991). An Introduction to the Theory of Numbers (5th ed.). John Wiley & Sons.
Published
How to Cite
Issue
Section
Categories
License
Copyright (c) 2025 Ramazanov Danial, Kazez Ertai
This work is licensed under a Creative Commons Attribution 4.0 International License.
