Number theory

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Related lectures (30)

Page 3 of 3

Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.

Hadamard Factorization and Zeros of Zeta

Completes the proof of Hadamard Factorization and uses it to derive an expression for the zeta function in terms of its zeros.

Euler Product and Perron's Formula

Explores the Euler product theorem and Perron's formula in number theory and complex analysis.

Primes in Arithmetic Progression

Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.

The Greatest Common Divisor

Covers the greatest common divisor, Euclidean algorithm, Joseph Stein's algorithm, and practical examples.

Number Theory: History and Concepts

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

End-to-End Distance Exponent

Explores the correct exponent for the end-to-end distance in polymer chains and its implications on chain correlations.

Fermat's Little Theorem: Applications and Probabilities

Explores Fermat's Little Theorem applications and probabilities in primality testing.

RSA Encryption: Main Concepts

Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.

Quantum and nanocomputing

Covers the basics of number theory, RSA encryption, and Shor's period finding algorithm.