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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Birch–Tate conjecture ： ウィキペディア英語版 Birch–Tate conjecture The Birch–Tate conjecture is a conjecture in mathematics (more specifically in algebraic K-theory) proposed by both Bryan John Birch and John Tate. ==Statement== In algebraic K-theory, the group ''K''2 is defined as the center of the Steinberg group of the ring of integers of a number field ''F''. ''K''2 is also known as the tame kernel of ''F''. The Birch–Tate conjecture relates the order of this group (its number of elements) to the value of the Dedekind zeta function $\backslash zeta\_F$. More specifically, let ''F'' be a totally real number field and let ''N'' be the largest natural number such that the extension of ''F'' by the ''N''th root of unity has an elementary abelian 2-group as its Galois group. Then the conjecture states that :$\backslash \#K\_2\; =\; |N\backslash zeta\_F(-1)|.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Birch–Tate conjecture」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.