tag:blogger.com,1999:blog-12535639.post8212086439604578519..comments2021-04-02T00:42:48.223-07:00Comments on Fermat's Last Theorem: Galois' Memoir: Lemma 3Larry Freemanhttp://www.blogger.com/profile/06906614246430481533noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-12535639.post-21724831379660872692013-06-02T10:39:42.425-07:002013-06-02T10:39:42.425-07:00Hi, why are please ai from F? Although they are th...Hi, why are please ai from F? Although they are the values of elementary symetric polynomials - but only on variables r2,..,rn (and not r1 also) - and so I think they cannot be expressed (necessarily) by coeffitients of P.<br />E.g. having cubic equation with rational coeffitients and roots x1,x2,x3, then elementary symmetric polynomials on x2,x3 are also not necessarily rational...<br />Thank you very much for your explanationcheckdrummerhttps://www.blogger.com/profile/14957131757907484585noreply@blogger.com