Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0819.11044
Koch, H.
Algebraic number fields. (English)
[A] Parshin, A. N. (ed.) et al., Number theory II: Algebraic number theory. Transl. from the Russian. Berlin: Springer-Verlag. Encycl. Math. Sci. 62, 1-269 (1992). ISBN 3-540-53386-9/hbk

This survey of classical algebraic number theory, including class field theory, Galois theory of local and global fields, Iwasawa's theory, $p$- adic $L$-functions and Fröhlich's theory is a translation of the Russian edition [Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 62 (1990; Zbl 0722.11001)] with removed innumerous printing errors of the original.
[W.Narkiewicz (Wrocław)]

MSC 2000:: *11Rxx Algebraic number theory: global fields
11-02 Research monographs (number theory)
11R23 Iwasawa theory
11R37 Class field theory for global fields
11R52 Quaternion and other division algebras: arithmetic, zeta functions
11R32 Galois theory for global fields
11R54 Other algebras and orders, and their zeta and L-functions
11R47 Other analytic theory
11R29 Class numbers, class groups, discriminants
11S31 Class field theory for local fields
13F05 Dedekind and Pruefer rings and their generalizations
20E18 Profinite groups
11S20 Galois theory for local fields

Keywords: survey; algebraic number theory; algebraic number fields; orders; Dedekind rings; valuations; Hecke $L$-functions; class field theory; explicit reciprocity laws; structure of Galois groups; class number; Iwasawa's theory; $p$-adic $L$-functions; Artin $L$-functions

Citations: Zbl 0722.11001

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]