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Titlebook: Basic Number Theory; André Weil Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 algebraic number field.algebraic number the

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发表于 2025-3-21 16:46:55 | 显示全部楼层 |阅读模式
期刊全称Basic Number Theory
影响因子2023André Weil
视频video
学科分类Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Basic Number Theory;  André Weil Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 algebraic number field.algebraic number the
影响因子)tPI(}jlOV, e~oxov (10CPUljlr1.‘CWV Aiux., llpop. . .dsup.. The first part of this volume is based on a course taught at Princeton University in 1961-62; at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by Chevalley, of pre-war vintage (forgotten, that is to say, both by me and by its author) which, to my taste at least, seemed to have aged very well. It contained a brief but essentially com­ plete account of the main features of classfield theory, both local and global; and it soon became obvious that the usefulness of the intended volume would be greatly enhanced if I included such a treatment of this topic. It had to be expanded, in accordance with my own plans, but its outline could be preserved without much change. In fact, I have adhered to it rather closely at some critical points.
Pindex Book 1995Latest edition
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发表于 2025-3-21 20:24:34 | 显示全部楼层
https://doi.org/10.1007/978-3-642-77247-4n .. If . is also a finite set of places of ., and .⊃ ., then .(.) is contained in .(.); moreover, its topology and its ring structure are those induced by those of .(.) and k.(.) is an open subset of k.(.).
发表于 2025-3-22 02:25:51 | 显示全部楼层
Herpes Zoster and Vascular Risk algebra .(.) is uniquely determined up to an isomorphism, and .(.) and .(.) are uniquely determined. One says that . is . or . at . according as . is trivial over . or not, i. e. according as .(.)=1 or .(.) > 1.
发表于 2025-3-22 06:06:00 | 显示全部楼层
Adelesn .. If . is also a finite set of places of ., and .⊃ ., then .(.) is contained in .(.); moreover, its topology and its ring structure are those induced by those of .(.) and k.(.) is an open subset of k.(.).
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Classification and Nomenclature, finite degree . over .. If . is an .-field and . ≠ ., we must have . = ., . = ., . = 2; then, by corollary 3 of prop. 4, Chap. III-3, .(.) = .+. and .(.) = .; . maps . onto ., and . maps . onto ., which is a subgroup of . of index 2.
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https://doi.org/10.1007/978-3-642-61945-8algebraic number field; algebraic number theory; number theory
发表于 2025-3-23 08:18:10 | 显示全部楼层
978-3-540-58655-5Springer-Verlag Berlin Heidelberg 1995
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