Class number problem

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Related lectures (13)

Class Number Formula

Explores the Class Number Formula in number theory, focusing on Lemmas, Proofs, and a significant theorem.

Number Fields: Embeddings and Ideal Classes

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

Hermite-Minkowski Theorems: Number Fields and Ideal Classes

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

Logarithmic Embedding in Number Fields

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

The Class Number Formula: Counting and Lipschitz Principle

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

Embeddings of Number Fields

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

Dedekind Function: Analytic Continuation and Euler Product Formula

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

Ideal Class Group Relations

Covers the relations between the ideal class group and proper fractional ideals.

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.

Non-vanishing of Dirichlet L-function and Gamma functions

Covers the proof of non-vanishing of Quadratic Dirichlet L-function and reviews basic properties of Gamma function.

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Quaternion Algebra: Properties and Applications

Covers the properties and applications of quaternion algebra, including norm calculations and distribution in different spaces.

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