Lectures related to Totally real number field

Explores the properties and applications of logarithmic embeddings in number fields.

Covers the embeddings of number fields and ideal classes with proofs and examples.

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

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

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

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

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