Lectures related to Smooth number

Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.

Explores smoothness in integer factorization and probabilities, including the analysis of Dixon's method.

Explores Ruelle resonances for geodesic flows on non-compact manifolds, emphasizing the role of smoothness and eigenvalues in the dynamics.

Explores group morphisms in complex numbers and the concept of Fermat primes.

Introduces Galois fields, elliptic curves, factorization algorithms, and the discrete logarithm problem in cryptography.

Explores the Shor algorithm circuit details for efficient number factoring using quantum computing.