翻訳と辞書 Words near each other ・ Ferris wheel ・ Ferris wheel (disambiguation) ・ Ferris Wheel of Berlin ・ Ferris Wheel of Paris ・ Ferris Wheel on Fire ・ Ferris, Illinois ・ Ferrere ・ Ferreri ・ Ferreries ・ Ferrero ・ Ferrero Bay ・ Ferrero Marianetti ・ Ferrero Rocher ・ Ferrero SpA ・ Ferrero-Küsschen ・ Ferrero–Washington theorem ・ Ferrers ・ Ferrers baronets ・ Ferrers function ・ Ferreruela ・ Ferreruela de Huerva ・ Ferreruolo ・ Ferres ・ Ferret ・ Ferret (disambiguation) ・ Ferret 50 ・ Ferret armoured car ・ Ferret Brothers ・ Ferret Data Visualization and Analysis ・ Ferret Force Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Ferrero–Washington theorem ： ウィキペディア英語版 Ferrero–Washington theorem In algebraic number theory, the Ferrero–Washington theorem, proved first by and later by , states that Iwasawa's μ-invariant vanishes for cyclotomic Z''p''-extensions of abelian algebraic number fields. ==History== introduced the μ-invariant of a Z''p''-extension and observed that it was zero in all cases he calculated. used a computer to check that it vanishes for the cyclotomic Z''p''-extension of the rationals for all primes less than 4000. later conjectured that the μ-invariant vanishes for any Z''p''-extension, but shortly after discovered examples of non-cyclotomic extensions of number fields with non-vanishing μ-invariant showing that his original conjecture was wrong. He suggested, however, that the conjecture might still hold for cyclotomic Z''p''-extensions. showed that the vanishing of the μ-invariant for cyclotomic Z''p''-extensions of the rationals is equivalent to certain congruences between Bernoulli numbers, and showed that the μ-invariant vanishes in these cases by proving that these congruences hold. 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「Ferrero–Washington theorem」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.