{"provider_name":"Hatena Blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fkoba-e964.hatenablog.com%2Fentry%2F2021%2F04%2F20%2F001614\" title=\"2021-04-18 (\u65e5) - koba-e964\u306e\u65e5\u8a18\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","type":"rich","height":"190","categories":[],"version":"1.0","description":"\u6570\u5b66 Cohen \u306e Alg. 3.4.6 \u3084 Prop. 3.4.7 \u306b\u3064\u3044\u3066\u8003\u3048\u3066\u3044\u305f\u3002U = T + T^2 + T^4 + ... \u3068\u3044\u3046\u306e\u306f T \u306e\u30c8\u30ec\u30fc\u30b9\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u3066\u3001T^{2^d} - T = U(U + 1) \u3068\u3044\u3046\u306e\u306f\u30c8\u30ec\u30fc\u30b9\u306f F_2 \u306e\u5143\u3067 0 \u304b 1 \u306e\u3069\u3061\u3089\u304b\u3068\u3044\u3046\u306e\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u308b\u3002\u305d\u308c\u306b\u5bfe\u3057\u5947\u7d20\u6570 p \u306b\u5bfe\u3059\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u306f T^{(p^d-1)/2} = (N T)^{(p-1)/2} \u3092\u8003\u3048\u3066\u3044\u3066\u3001\u30ce\u30eb\u30e0\u5199\u50cf\u306f (\u4e57\u6cd5\u7fa4\u306e\u9593\u306e) \u5168\u5c04\u6e96\u540c\u578b\u306a\u306e\u3067\u3001T (\u306b\u5bfe\u5fdc\u3059\u308b F_p(theta) \u306e\u6570) (\u3067\u3042\u3063\u3066 0 \u3067\u306a\u3044\u3082\u306e) \u306b\u3064\u3044\u3066 N T \u304c\u5e73\u65b9\u5270\u4f59\u3068\u306a\u308b\u2026","width":"100%","author_url":"https://blog.hatena.ne.jp/koba-e964/","blog_title":"koba-e964\u306e\u65e5\u8a18","published":"2021-04-20 00:16:14","image_url":null,"author_name":"koba-e964","url":"https://koba-e964.hatenablog.com/entry/2021/04/20/001614","blog_url":"https://koba-e964.hatenablog.com/","provider_url":"https://hatena.blog","title":"2021-04-18 (\u65e5)"}