Algebraic number theory

Related lectures (31)

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Covers the classification of comport p-adic fields using integration and Igusa's local zeta functions.

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

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

Explores Hermite-Minkowski theorems in number fields and ideal classes.

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

Discusses Fermat's equation and Gaussian integers' properties.

Explores the proof of the Prime Number Theorem and its implications in number theory.

Covers the theory and applications of elliptic curves in cryptography and number theory.

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Explores embeddings of number fields, types, signatures, lattices, and determinants.