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[null,"1.","Record Nr.",null,"UNINA9910480452603321"]
[null,null,"Autore",null,"Moreno Carlos J."]
[null,null,"Titolo",null,"Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1983]"]
[{"$nulls":4},"©1983"]
[null,null,"ISBN",null,"0-8218-7601-5"]
[null,null,"Descrizione fisica",null,"1 online resource (202 p.)"]
[null,null,"Collana",null,"Contemporary mathematics, , 0271-4132 ; ; 15"]
[null,null,"Soggetti",null,"Number theory"]
[{"$nulls":4},"Algebraic fields"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Preface\"\"; \"\"Chapter 0. Introduction\"\"; \"\"Â1. A historical perspective\"\"; \"\"Â2. The explicit formulas: motivation\"\"; \"\"Chapter I. Galois Theory for Infinite Extensions\"\"; \"\"Â1. Fundamental Theorem of Galois Theory for infinite extensions\"\"; \"\"Â2. Topological properties of Gal(K'/K)\"\"; \"\"Â3. Example\"\"; \"\"Chapter II. Projective Limits\"\"; \"\"Â1. Basic definitions\"\"; \"\"Â2. Examples\"\"; \"\"Â3. Homomorphisms\"\"; \"\"Chapter III. Elementary Theory of l-adic Integration\"\"; \"\"Â1. Distributions and measures\"\"; \"\"Â2. Measures on groups\"\"; \"\"Â3. Riemann sums\"\""]
[{"$nulls":4},"\"\"Â4. l-adic Haar measures\"\"\"\"Â5. Examples\"\"; \"\"Chapter IV. Ramification Theory\"\"; \"\"Â1. The v-function\"\"; \"\"Â2. Transitivity properties of the v-function\"\"; \"\"Â3. The different\"\"; \"\"Â4. Transitivity properties of the different\"\"; \"\"Â5. Complementary basis\"\"; \"\"Â6. Fundamental inequality and the C-invariant\"\"; \"\"Â7. Quotients of Galois groups and Herbrand's Theorem\"\"; \"\"Chapter V. Multiplicative versus Additive Reduction\"\"; \"\"Â1. The case of a local field\"\"; \"\"Â2. The module structure of the unit group\"\"; \"\"Â3. The case of an elliptic curve\"\""]
[{"$nulls":4},"\"\"Chapter VI. Ramification of Abelian Extensions\"\"\"\"Â1. Index computations\"\"; \"\"Â2. Main Theorem\"\"; \"\"Chapter VII. The Weil Groups of a Local Field\"\"; \"\"Â1. The Frobenius automorphism\"\"; \"\"Â2. The relative Weil group of a non-archimedean local field\"\"; \"\"Â3. The absolute Weil group\"\"; \"\"Â4. The Weil group of an archimedean local field\"\"; \"\"Â5. The Weil-Deligne group\"\"; \"\"Appendix: The non-abelian local reciprocity law\"\"; \"\"Chapter VIII. Shafarevitch's Theorem\"\"; \"\"Â1. "]
[{"$nulls":4},"Representations of a simple algebra\"\"; \"\"Â2. Factor sets\"\"; \"\"Â3. Subalgebras of central simple algebras\"\""]
[{"$nulls":4},"\"\"Â4. Cyclic algebras\"\"\"\"Â5. Algebras and group extensions\"\"; \"\"Â6. Powers of central simple algebras\"\"; \"\"Â7. Generators of the Brauer group\"\"; \"\"Â8. Structure of the relative Weil group\"\"; \"\"Â9. Shafarevitch's Theorem\"\"; \"\"Appendix: I. The Brauer group of central 'simple algebras over K\"\"; \"\"II. The group H2(G,Kxs)\"\"; \"\"Chapter IX. The Herbrand Distribution\"\"; \"\"Â1. The Herbrand distribution: definition and basic facts\"\"; \"\"Â2. The support of the Herbrand distribution\"\"; \"\"Â3. Determination of the Herbrand distribution on Gal(Kab/K)\"\""]
[{"$nulls":4},"\"\"Â4. Functoriality properties of the Herbrand distribution\"\"\"\"Â5. The Herbrand distribution and measures on the Weil group\"\"; \"\"Â6. The integral formula for the Herbrand distribution\"\"; \"\"Â7. Conductors, the Artin representation, and the Herbrand distribution\"\"; \"\"Bibliography\"\"; \"\"Index\"\"; \"\"C\"\"; \"\"D\"\"; \"\"E\"\"; \"\"F\"\"; \"\"G\"\"; \"\"H\"\"; \"\"I\"\"; \"\"L\"\"; \"\"M\"\"; \"\"P\"\"; \"\"R\"\"; \"\"S\"\"; \"\"T\"\"; \"\"w\"\""]