Titlebook: Class Field Theory; Jürgen Neukirch Textbook 1986 Springer-Verlag Berlin Heidelberg 1986 Galois theory.Riemann zeta function.Volume.algebr

–LOUS

Textbook 1986ave required a complicated and, by comparison with the results, rather imper- spicuous system of arguments which have tended to jump around all over the place. My earlier presentation of the theory [41] has strengthened me in the belief that a highly elaborate mechanism, such as, for example, cohomo

確定

Throttle

General Class Field Theory,n a more familiar language, however, we want to interpret G formally as a Galois group in the following sense. We denote the closed subgroups of G by . and call the indices . fields; we refer to . as the fixed field of .. The “field” . with . = . is called the ground field and we denote by ˉk; the f

Decline

Local Class Field Theory,elds are the p., i.e. the finite extensions . of the field . = Q. of .-adic numbers (case char(.) = 0), and the finite extensions . of the power series field .=F.((.)) (case char (.) = . > 0). Here the module . of the abstract theory will be the multiplicative group .* of .. We therefore have to stu

巧辦法

Fortuitous

Zeta Functions and L-Series,the most remarkable phenomena in number theory, namely, that many of the inner arithmetic properties of an algebraic number field are concealed in a single complex analytic function, the zeta function. The basic prototype of such a function is the .

硬化

0072-7830 from this approach has made it possible to include in this volume the most important consequences and elaborations, and further related theories, with the excep978-3-642-82467-8978-3-642-82465-4Series ISSN 0072-7830 Series E-ISSN 2196-9701

locus-ceruleus

Textbook 1986scription makes possible a new foundation for the entire theory. The rapid advance to the main theorems of class field theory which results from this approach has made it possible to include in this volume the most important consequences and elaborations, and further related theories, with the excep

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睨視

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