Titlebook: A Textbook of Algebraic Number Theory; Sudesh Kaur Khanduja Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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https://doi.org/10.1007/978-981-16-9150-8algebraic number theory; integral basis; discriminant; class number; ramified primes; units in number fie

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Chemische Bindung und Gitterenergie, to compute . in finite number of steps, one has to use some infinite processes, e.g., infinite series, infinte products and some analytic concepts as has been done in the present chapter to prove Dirichlet’s Class Number Formula.

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Textbook 2022The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind’s theorem on splitting of primes, Dirichlet’s unit theorem, Minkowski’s convex body theorem, Dedekind’s discriminant theorem, Hermite’s theorem on discriminant, Dirichlet’s class number f

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