翻訳と辞書 Words near each other ・ Eisenstadt ・ Eisenstadt (disambiguation) ・ Eisenstadt (surname) ・ Eisenstadt Cathedral ・ Eisenstadt v. Baird ・ Eisenstadt-Umgebung District ・ Eisenstein ・ Eisenstein (film) ・ Eisenstein (Ore Mountains) ・ Eisenstein (surname) ・ Eisenstein ideal ・ Eisenstein in Guanajuato ・ Eisenstein integer ・ Eisenstein integral ・ Eisenstein on Disney ・ Eisenstein prime ・ Eisenstein reciprocity ・ Eisenstein series ・ Eisenstein sum ・ Eisenstein triple ・ Eisenstein's criterion ・ Eisenstein's theorem ・ Eisenstein, Wisconsin ・ Eisenstein–Kronecker number ・ Eisentraut's mouse shrew ・ Eisentraut's pipistrelle ・ Eisentraut's shrew ・ Eisentraut's striped mouse ・ Eisenvogel ・ Eisenwerke Oberdonau 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 Eisenstein prime ： ウィキペディア英語版 Eisenstein prime In mathematics, an Eisenstein prime is an Eisenstein integer :$z\; =\; a\; +\; b\backslash ,\backslash omega\backslash qquad(\backslash omega\; =\; e^)$ that is irreducible (or equivalently prime) in the ring-theoretic sense: its only Eisenstein divisors are the units (±1, ±ω, ±ω2), ''a'' + ''b''ω itself and its associates. The associates (unit multiples) and the complex conjugate of any Eisenstein prime are also prime. ==Characterization== An Eisenstein integer ''z'' = ''a'' + ''b''ω is an Eisenstein prime if and only if either of the following (mutually exclusive) conditions hold: #''z'' is equal to the product of a unit and a natural prime of the form 3''n'' − 1, #|''z''|2 = ''a''2 − ''ab'' + ''b''2 is a natural prime (necessarily congruent to 0 or 1 modulo 3). It follows that the absolute value squared of every Eisenstein prime is a natural prime or the square of a natural prime. 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「Eisenstein prime」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.