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＜電子ブック＞
Algebraic Number Theory / by H. Koch ; edited by A.N. Parshin, I.R. Shafarevich

版	1st ed. 1997.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1997
本文言語	英語
大きさ	V, 269 p : online resource
著者標目	*Koch, H author Parshin, A.N editor Shafarevich, I.R editor SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Algebra FREE:Number Theory FREE:Algebra
一般注記	1. Basic Number Theory -- 2. Class Field Theory -- 3. Galois Groups -- 4. Abelian Fields -- 5. Artin L-Functions and Galois Module Structure -- Appendix 1. Fields, Domains, and Complexes -- 1.1. Finite Field Extensions -- 1.2. Galois Theory -- 1.3. Domains -- 1.4. Complexes -- Appendix 2. Quadratic Residues -- Appendix 3. Locally Compact Groups -- 3.1. Locally Compact Abelian Groups -- 3.2. Restricted Products -- Appendix 4. Bernoulli Numbers -- Tables -- References -- Author Index From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993 HTTP:URL=https://doi.org/10.1007/978-3-642-58095-6

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