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Euler's theorem
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Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption
Covers the Diffie-Hellman key exchange protocol and the ElGamal public-key cryptosystem.
Euler Product and Perron's Formula
Explores the Euler product theorem and Perron's formula in number theory and complex analysis.
Fermat's Little Theorem
Explores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.
Commutative Groups: Foundations for Cryptography
Covers commutative groups and their significance in cryptography.
Prime Numbers and Primality Testing
Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.
Chinese Remainder Theorem and Euclidean Domains
Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.
Chinese Remainder Theorem and Polynomial Rings
Covers the Chinese remainder theorem, polynomial rings, and Euclidean domains among other topics.
Adimensionalization of Equations
Covers the adimensionalization of equations, focusing on key parameters.
Fermat Equation: Solutions and Coprime Numbers
Explores solutions of the Fermat equation and the importance of coprime numbers.
Groups and Homomorphisms
Covers Euler's totient function, group theory, homomorphisms, and group isomorphisms.