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Related lectures (33)
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
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Explores Hermite-Minkowski theorems in number fields and ideal classes.
Number Fields: Embeddings and Ideal Classes
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Covers the embeddings of number fields and ideal classes with proofs and examples.
Embeddings of Number Fields
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Explores embeddings of number fields, types, signatures, lattices, and determinants.
The Class Number Formula: Counting and Lipschitz Principle
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Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.
Convergence of Fourier Series
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Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.
Algebra: Fundamental Theorem
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Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Law of Large Numbers: Strong Convergence
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Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.
Equidistribution of CM Points
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Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
Equidistribution of CM Points
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Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.
Analysis IV: Convergence Theorems and Integrable Functions
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Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.
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Ramification Theory: Dedekind Recipe
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Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.
Logarithmic Derivative of Zeta
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Explores the behavior of the zeta function and its explicit formula.
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