Classical Theory of Algebraic Numbers
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- Artikel-Nr.: 10361306
Beschreibung
* Unique Factorization Domains, Ideals, Principal Ideal Domains * Commutative Fields * Residue Classes * Quadratic Residues * Algebraic Integers * Integral Basis, Discriminant * The Decomposition of Ideals * The Norm and Classes of Ideals * Estimates for the Discriminant * Units * Extension of Ideals * Algebraic Interlude * The Relative Trace, Norm, Discriminant and Different * The Decomposition of Prime Ideals in Galois Extensions * Complements and Miscellaneous Numerical Examples * Local Methods for Cyclotomic Fields * Bernoulli Numbers * Fermat's Last Theorem for Regular Prime Exponents * More on Cyclotomic Extensions * Characters and Gaussian Sums * Zeta-Functions and L-Series * The Dedekind Zeta- Function * Primes in Arithmetic Progressions * The Frobenius Automorphism and the Splitting of Prime Ideals * Class Number of Quadratic Fields * Class Number of Cyclotomic Fields * Miscellaneous Results about the Class Number of Cyclotomic Fields
Eigenschaften
Breite: | 160 |
Gewicht: | 1108 g |
Höhe: | 235 |
Länge: | 35 |
Seiten: | 682 |
Sprachen: | Englisch |
Autor: | Paulo Ribenboim |
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