Lectures related to Algebraic number field

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

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

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

Explores transcendence degree in algebraic fields and classical analytic functions.

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.

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Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.

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.

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Covers raster-raster integration, map algebra, NDVI calculation, and terrain analysis using relational and logical operators.

Covers the properties of finite dimensional algebras and non-semisimple representations.

Covers error-correcting codes, Hamming distance, and polynomial multiplication in algebraic fields.

Explores the Gaussian Discriminant Rule for classification using Gaussian Mixture Models and discusses drawing boundaries and model complexity.

Covers the synthesis of combinational circuits and the methodology for analyzing specifications.

Explores integral Hasse principle, locally isometric lattices, and adèles rings.