…When m = 6, 1,5 is an irreducible coset. The function φ determined by the number of irreducible cosets modulo m , φ( m ), is called the Euler function. When m and n are mutually prime natural numbers, φ satisfies the relationship φ( mn ) = φ( m )φ( n ), and if is a prime factorization of m , then φ( m ) is given by … *Some of the terminology explanations that mention "Euler function" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…m=6のとき,1,5は既約剰余系である。mを法とする既約剰余類の個数φ(m)によって定められる関数φをオイラー関数という。mとnが互いに素な自然数であるとき,φはφ(mn)=φ(m)φ(n)という関係を満たし,をmの素因数分解とすると,φ(m)は,で与えられる。… ※「オイラー関数」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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