The Class Number Formula: Counting and Lipschitz Principle

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

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Covers Lipschitz maps, compact domains, changing variables, counting problems, and probability of ideals.

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

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

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

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