{"id":1050,"date":"2018-10-14T16:38:03","date_gmt":"2018-10-14T07:38:03","guid":{"rendered":"https:\/\/it1.jp\/?p=1050"},"modified":"2018-10-16T08:47:05","modified_gmt":"2018-10-15T23:47:05","slug":"post-1050","status":"publish","type":"post","link":"https:\/\/it1.jp\/?p=1050","title":{"rendered":"\u6709\u9650\u4f53\u306e\u57fa\u672c\u7684\u306a\u6027\u8cea\u307e\u3068\u3081\u3002\u6a19\u6570\u3084\u8981\u7d20\u6570\u306b\u3064\u3044\u3066"},"content":{"rendered":"\n<p>\u5927\u5b66\u306b\u5165\u3063\u305f\u3089\u3001\u7fa4\u30fb\u74b0\u30fb\u4f53\u3068\u3044\u3046\u3042\u308b\u69cb\u9020\u304c\u5165\u3063\u305f\u96c6\u5408\u3092\u5b66\u3093\u3067\u3044\u304f\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<br \/>\n\u305d\u306e\u4e2d\u3067\u3082\u3001\u6574\u6570\u306b\u3064\u3044\u3066\u52c9\u5f37\u3092\u3057\u3088\u3046\u3068\u601d\u3063\u305f\u3089\u6709\u9650\u306a\u8981\u7d20\u3067\u69cb\u6210\u3055\u308c\u308b\u4f53\u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u51fa\u3066\u6765\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u306f\u6a19\u6570\u3068\u306f\u4f55\u304b\u3068\u3044\u3046\u3053\u3068\u3084\u6709\u9650\u4f53\u3068\u8981\u7d20\u6570\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u57fa\u672c\u7684\u306a\u3068\u3053\u308d\u3092\u307e\u3068\u3081\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n<p>\u8a3c\u660e\u306f\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u4eba\u306e\u305f\u3081\u306b\u66f8\u3044\u3066\u3044\u308b\u306e\u3067\u57fa\u672c\u7684\u306b\u98db\u3070\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u308f\u304b\u3089\u306a\u3044\u3068\u3053\u308d\u304c\u3042\u308c\u3070<a href=\"https:\/\/twitter.com\/kojiaomatsu\">Twitter<\/a>\u306a\u3069\u3067\u6c17\u8efd\u306b\u8a71\u3057\u304b\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h2 id=\"outline__1\">\u5c0e\u5165<\/h2>\n<h3 id=\"outline__1_1\">\u4f53\u3068\u306f<\/h3>\n<p>\u7c21\u5358\u306b\u8a00\u3048\u3070\u3001\u7fa4\u306f\u8db3\u3057\u7b97\u304c\u5b9a\u7fa9\u3055\u308c\u305f\u96c6\u5408\u3001\u74b0\u306f\u8db3\u3057\u7b97\u3068\u639b\u3051\u7b97\u3068\u5206\u914d\u6cd5\u5247\u304c\u5b9a\u7fa9\u3055\u308c\u305f\u96c6\u5408\u3001\u4f53\u306f\u305d\u308c\u3089\u306b\u52a0\u3048\u30660\u4ee5\u5916\u306e\u8981\u7d20\u3067\u5272\u308a\u7b97\u304c\u5b9a\u7fa9\u3055\u308c\u305f\u96c6\u5408\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u3001\u8db3\u3057\u7b97\u3068\u7c21\u5358\u306b\u8a00\u3063\u305f\u3082\u306e\u306e\u4e2d\u306b\u306f\u3001\u8db3\u3057\u7b97\u306e\u9806\u756a\u306f\u5165\u308c\u66ff\u3048\u3066\u3082\u826f\u3044\u3088\u3068\u304b\u3001\u5358\u4f4d\u5143\u306e\u5b58\u5728\u306a\u3069\u306e\u6761\u4ef6\u304c\u3042\u308b\u306e\u3067\u3059\u304c\u3001\u8a73\u3057\u3044\u5b9a\u7fa9\u306f\u3069\u3053\u306b\u3067\u3082\u8f09\u3063\u3066\u3044\u308b\u306e\u3067\u968f\u6642\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u5b9f\u6570\u5168\u4f53\u306e\u96c6\u5408\u3084\u8907\u7d20\u6570\u5168\u4f53\u306e\u96c6\u5408\u306f\u4f53\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3 id=\"outline__1_2\">\u6709\u9650\u4f53\u3068\u306f<\/h3>\n<p>\u6709\u9650\u4f53\u3068\u3044\u3046\u306e\u306f\u3001\u4f53\u306e\u4e2d\u3067\u3082\u8981\u7d20\u306e\u6570\u304c\u6709\u9650\u500b\u3057\u304b\u306a\u3044\u3082\u306e\u306e\u3053\u3068\u3067\u3059\u3002<br \/>\n\u4f8b\u3048\u3070\u3001\\(\\mathbb{Z}\/2\\mathbb{Z}\\)\u3068\u3044\u3046\u306e\u306f\u8981\u7d20\u304c0\u30681\u3057\u304b\u5b58\u5728\u3057\u306a\u3044\u96c6\u5408\u3067\u3059\u304c\u3001\u3053\u308c\u306f\u4f53\u306b\u306a\u3063\u3066\u3044\u3066\u8981\u7d20\u304c2\u500b\u3057\u304b\u306a\u3044\u306e\u3067\u6709\u9650\u4f53\u3067\u3059\u3002<\/p>\n<p>\u3082\u3046\u5c11\u3057\u4e00\u822c\u7684\u306b\u8a00\u3048\u3070\u3001\\(\\mathbb{Z}\/p\\mathbb{Z} = \\{0,1,&#8230;,p-1\\}\\)\u3068\u3044\u3046\u96c6\u5408\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u304c\u4f53\u306b\u306a\u308b\u3053\u3068\u306f\u3059\u3050\u5f8c\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u6574\u6570\u306e\u6027\u8cea\u3092\u4ee3\u6570\u5b66\u3063\u307d\u304f\u52c9\u5f37\u3057\u3088\u3046\u3068\u601d\u3063\u305f\u3089\u3001\u6709\u9650\u4f53\u306e\u7406\u89e3\u304c\u91cd\u8981\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3042\u308b\u591a\u9805\u5f0f\u306a\u3069\u306e\u6574\u6570\u89e3\u306a\u3069\u3092\u8abf\u3079\u308b\u969b\u306b\u3001\u4f59\u308a\u306e\u4e16\u754c\u3067\u8003\u3048\u308b\u3053\u3068\u306f\u3068\u3066\u3082\u6709\u7528\u3067\u3059\u3002<br \/>\n\u7d20\u6570p\u3067\u5272\u3063\u305f\u4f59\u308a\u306e\u4e16\u754c\u3068\u3044\u3046\u306e\u304c\u3001\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u3068\u3044\u3046\u6709\u9650\u4f53\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u6709\u9650\u4f53\u306e\u69cb\u9020\u3092\u8abf\u3079\u308b\u3053\u3068\u306f\u91cd\u8981\u306a\u306e\u3067\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u5b9a\u74061<\/span><\/p>\n<p>\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u306f\u4f53\u3067\u3042\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\u4efb\u610f\u306e\\(\\{1,2,&#8230;,p-1\\}\\)\u306e\u5143a\u3092\u4e00\u3064\u3068\u308b\u3002\\(a*b=1\\)\u3068\u306a\u308b\u3088\u3046\u306ab\u304c\u3082\u3057\u306a\u3051\u308c\u3070\\(a*c=a*d\\)\u3068\u306a\u308b\u3088\u3046\u306a\u7570\u306a\u308b2\u3064\u306e\u6570c, d\u304c\u3042\u308b\u306f\u305a\u3067\u3042\u308b\u3002<span style=\"font-family: Lato, \u6e38\u30b4\u30b7\u30c3\u30af\u4f53, 'Yu Gothic', YuGothic, '\u30d2\u30e9\u30ae\u30ce\u89d2\u30b4\u30b7\u30c3\u30af Pro', 'Hiragino Kaku Gothic Pro', \u30e1\u30a4\u30ea\u30aa, 'Meiryo, Osaka', '\uff2d\uff33 \uff30\u30b4\u30b7\u30c3\u30af', 'MS PGothic', sans-serif; font-size: 1.6rem;\">\\(a*(c-d)=0\\)\u3068\u306a\u308b\u304c\u3001p\\(\\mathbb{Z}\\)\u4e0a\u3067p\u306f\u7d20\u5143\u3067\u3042\u308b\u304b\u3089\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u304c\u6574\u57df\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067<\/span><span style=\"font-family: Lato, \u6e38\u30b4\u30b7\u30c3\u30af\u4f53, 'Yu Gothic', YuGothic, '\u30d2\u30e9\u30ae\u30ce\u89d2\u30b4\u30b7\u30c3\u30af Pro', 'Hiragino Kaku Gothic Pro', \u30e1\u30a4\u30ea\u30aa, 'Meiryo, Osaka', '\uff2d\uff33 \uff30\u30b4\u30b7\u30c3\u30af', 'MS PGothic', sans-serif; font-size: 1.6rem;\">\u3053\u308c\u306f\u77db\u76fe\u3067\u3042\u308b\u3002\u3088\u3063\u3066\\(a*b=1\\)\u3068\u306a\u308bb\u306f\u5b58\u5728\u3059\u308b\u3002\u3088\u3063\u3066\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u306f\u4f53\u3067\u3042\u308b\u3002<\/span><\/p>\n<\/div>\n<h2 id=\"outline__2\">\u6709\u9650\u4f53\u306e\u6027\u8cea<\/h2>\n<h3 id=\"outline__2_1\">\u6a19\u6570p<\/h3>\n<p>\u6709\u9650\u4f53\u306f\u6a19\u6570\u3068\u3044\u3046\u3082\u306e\u3092\u6301\u3061\u307e\u3059\u3002\u6a19\u6570\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u547d\u984c2.1<\/span><\/p>\n<p>F\u3092\u6709\u9650\u4f53\u3068\u3059\u308b\u3002\u3042\u308b\u7d20\u6570p\u304c\u5b58\u5728\u3057\u3001F\u306e\u52a0\u6cd5\u306b\u95a2\u3059\u308b\u5358\u4f4d\u5143\u306e\u6574\u6570\u500d\u3067\u69cb\u6210\u3055\u308c\u308b\u96c6\u5408\u306fF\u306e\u90e8\u5206\u4f53\u3068\u306a\u308a\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u3068\u540c\u578b\u306b\u306a\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>F\u306e\u52a0\u6cd5\u306b\u95a2\u3059\u308b\u5358\u4f4d\u5143\u3092e\u3068\u7f6e\u304f\u3002\u5199\u50cf\\(\\phi: \\mathbb{Z} \\to F \\)\u3092\\(n \\mapsto ne\\)\u3067\u5b9a\u3081\u308b\u3002\u3053\u306e\u5199\u50cf\\(\\phi\\)\u306f\u6e96\u540c\u578b\u5199\u50cf\u306b\u306a\u308b\u3002\\(Im\\phi\\)\u306f\u6709\u9650\u90e8\u5206\u74b0\u3067\u6574\u57df\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n<p>f\u306f\u5358\u5c04\u3067\u306f\u306a\u3044\u306e\u3067\\(Ker \\phi\\)\u306f\u30bc\u30ed\u30a4\u30c7\u30a2\u30eb\u3067\u306f\u306a\u3044\u3002Z\u306fPID\u306a\u306e\u3067\\(Ker \\phi\\)\u306f\u5358\u9805\u30a4\u30c7\u30a2\u30eb\u3067\u3042\u308a\u3001\\(\\mathbb{Z}\/Ker \\phi\\)\u3082\u6574\u57df\u3068\u306a\u308b\u3053\u3068\u304b\u3089\u3001\\(Ker \\phi\\)\u304c\u7d20\u30a4\u30c7\u30a2\u30eb\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<br \/>\n\u3088\u3063\u3066\u3042\u308b\u7d20\u6570p\u304c\u5b58\u5728\u3057\\(\\mathbb{Z}\/p\\mathbb{Z} \\cong Im \\phi \\subset F\\)\u304c\u793a\u3055\u308c\u305f\u3002<\/p>\n<\/div>\n<p>\u3053\u3053\u3067\u3001\u4f55\u304c\u91cd\u8981\u304b\u3068\u3044\u3046\u3068\u3001\u4f53\u304c\u4e0e\u3048\u3089\u308c\u305f\u6642\u306b\u3042\u308b\u7d20\u6570p\u304c\u5b9a\u307e\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u7d20\u6570p\u3092\u4f53F\u306e\u6a19\u6570\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p>\u3042\u308b\u4f53\u306e\u6a19\u6570\u304cp\u3067\u3082\u8981\u7d20\u6570\u306fp\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u6709\u9650\u4f53\u306e\u8981\u7d20\u6570\u3068\u6a19\u6570\u306e\u95a2\u4fc2\u306f\u5f8c\u3067\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u6a19\u6570\u306b\u95a2\u3059\u308b\u57fa\u672c\u7684\u306a\u6027\u8cea\u3092\u898b\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u547d\u984c2.2<\/span><\/p>\n<p>\u6a19\u6570p\u306f\\(p*1=0\\)\u3068\u306a\u308b\u81ea\u7136\u6570\u306e\u3046\u3061\u6700\u3082\u5c0f\u3055\u3044\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>p\u3088\u308a\u5c0f\u3055\u3044\u7d20\u6570\\(p&#8217;\\)\u3067\\(p&#8217;*1=0\\)\u3068\u306a\u308b\u3053\u3068\u306f\u3001\u547d\u984c2.1\u3088\u308a\\(Ker \\phi=p\\mathbb{Z}\\)\u3067\u3042\u308b\u3053\u3068\u306b\u77db\u76fe\u3059\u308b\u3002\u307e\u305f\u3001\\(p*1=0\\)\u3067\u3042\u308b\u3002<\/p>\n<\/div>\n<p>\u3053\u306e\u6a19\u6570\u306b\u95a2\u9023\u3057\u305f\u6709\u9650\u4f53\u306e\u5b09\u3057\u3044\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6a19\u6570p\u306e\u6709\u9650\u4f53\u3067\u306f\u4efb\u610f\u306e\u5143\u306b\u5bfe\u3057\u3066p\u3092\u304b\u3051\u308b\u30680\u306b\u306a\u308b\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u5b9a\u74062<\/span><\/p>\n<p>\u6a19\u6570p\u306e\u6709\u9650\u4f53F\u306e\u4efb\u610f\u306e\u5143\\(\\alpha\\)\u306b\u5bfe\u3057\u3066\u3001\\(p\\alpha=0\\)\u3068\u306a\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\\(\\alpha=1*\\alpha\\)\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3001\\(p\\alpha=p*1*\\alpha=0\\)\u3068\u306a\u308b\u3002<\/p>\n<\/div>\n<p>\u3053\u306e\u3053\u3068\u304b\u3089\u3001\u6b21\u306e\u5b9a\u7406\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u5b9a\u74063<\/span><\/p>\n<p>\\((\\alpha+\\beta)^p = \\alpha^p+\\beta^p\\)<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\u5c55\u958b\u3059\u308b\u3068\u3001\\(\\alpha^p, \\beta^p\\)\u4ee5\u5916\u306e\u9805\u306f\u5168\u3066\u4fc2\u6570\u304c\u4e8c\u9805\u4fc2\u6570\\({p \\choose k} (k = 1,&#8230;,p-1)\\)\u3068\u306a\u308b\u304c\u3001\u3053\u308c\u3089\u306f\u5168\u3066p\u3092\u56e0\u6570\u306b\u6301\u3064\u3002\u3088\u3063\u3066\u5b9a\u74062\u304b\u3089\u5168\u30660\u3068\u306a\u308b\u3002<\/p>\n<\/div>\n<p>\u6b21\u306b\u3001\u6a19\u6570\u3067\u306f\u306a\u304f\u3066\u8981\u7d20\u6570\u306b\u95a2\u9023\u3059\u308b\u91cd\u8981\u306a\u6027\u8cea\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u8981\u7d20\u6570m\u306e\u4f53\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002\u3042\u308b0\u3067\u306f\u306a\u3044\u5143\u3068\u4f53\u306e\u8981\u7d20\u6570\u306b\u306f\u91cd\u8981\u306a\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u5b9a\u74064<\/span><\/p>\n<p>\u6709\u9650\u4f53F\u306e\u4efb\u610f\u306e\u5143\\(\\alpha\\)\u306b\u3064\u3044\u3066\\(\\alpha^m = \\alpha\\)\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\\(\\alpha = 0\\)\u306e\u6642\u3001\u660e\u3089\u304b\u306b\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p>\u4f53F\u304b\u30890\u3092\u9664\u3044\u305f\u96c6\u5408F*\u306f\u5faa\u74b0\u7fa4\u306b\u306a\u308b\u3053\u3068\u3092\u793a\u3059\u3002<br \/>\n\\(\\psi(d)\\)\u3092F*\u306e\u5143\u3067\u4f4d\u6570\u304cd\u306e\u5143\u306e\u6570\u3068\u3059\u308b\u3068\u3001\\(\\sum_{c|d}\\psi(c)=d\\)\u3068\u306a\u308a\u3001\u30e1\u30d3\u30a6\u30b9\u306e\u53cd\u8ee2\u516c\u5f0f\u304b\u3089\\(\\psi(d)=\\phi(d)\\geq1\\)\u3068\u306a\u308b\u304b\u3089\u3067\u3042\u308b\u3002\u3053\u3053\u3067\\(\\phi(d)\\)\u306f\u30aa\u30a4\u30e9\u30fc\u306e\\(\\phi\\)\u95a2\u6570\u3067\u3042\u308b\u3002<\/p>\n<p>\u3088\u3063\u3066F*\u306b\u306f\u4f4d\u6570\\(m-1\\)\u306e\u5143\u304c\u5b58\u5728\u3059\u308b\u3002\u3088\u3063\u3066F*\u306f\u5faa\u74b0\u7fa4\u3067\u3042\u308b\u3002<br \/>\n\u8981\u7d20\u6570m-1\u306e\u5faa\u74b0\u7fa4\u306e\u4efb\u610f\u306e\u5143\\(\\alpha\\)\u306f\\(\\alpha^{m-1}=1\\)\u3068\u306a\u308b\u306e\u3067\u3001\\(\\alpha^m = \\alpha\\)\u3067\u3042\u308b\u3002<\/p>\n<\/div>\n<h3 id=\"outline__2_2\">\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u6709\u9650\u4f53\u306e\u8981\u7d20\u306e\u6570<\/h3>\n<p>\u6b21\u306b\u4f53\u306e\u8981\u7d20\u306e\u6570\u306b\u3064\u3044\u3066\u898b\u3066\u3044\u304d\u307e\u3059\u3002<br \/>\n\u5148\u307b\u30692\u500b\u306e\u8981\u7d20\u304b\u3089\u306a\u308b\\(\\mathbb{Z}\/2\\mathbb{Z}\\)\u3068\u3044\u3046\u4f53\u3092\u4f8b\u306b\u51fa\u3057\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u8981\u7d20\u306e\u6570\u304c\u7d20\u6570\u500b\u3067\u3042\u308b\\(\\mathbb{Z}\/2\\mathbb{Z}\\)\u306f\u4f53\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u3067\u306f\u4ed6\u306e\u6709\u9650\u4f53\u306f\u3069\u306e\u3088\u3046\u306a\u8981\u7d20\u6570\u3068\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u73fe\u5728\u306f2018\u5e74\u3067\u3059\u30022018\u500b\u306e\u8981\u7d20\u304b\u3089\u306a\u308b\u6709\u9650\u4f53\u306f\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p>\u7b54\u3048\u306fNo\u3067\u3059\u3002<\/p>\n<p>\u7d50\u8ad6\u304b\u3089\u8a00\u3046\u3068\u5168\u3066\u306e\u6709\u9650\u4f53\u306e\u8981\u7d20\u306e\u6570\u306f\u3042\u308b\u7d20\u6570p\u3068\u3042\u308b\u81ea\u7136\u6570n\u3092\u7528\u3044\u3066\\(p^n\\)\u3068\u8868\u3055\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<br \/>\n\u3064\u307e\u308a\u7d20\u6570\u306e\u3079\u304d\u4e57\u3068\u306a\u308b\u3088\u3046\u306a\u8981\u7d20\u6570\u3067\u306f\u306a\u3044\u4f53\u306f\u5b58\u5728\u3057\u306a\u3044\u306e\u3067\u3059\u30022018\u306f\u7d20\u6570\u306e\u3079\u304d\u4e57\u3067\u8868\u3055\u308c\u306a\u3044\u306e\u3067\u30012018\u500b\u306e\u8981\u7d20\u304b\u3089\u306a\u308b\u6709\u9650\u4f53\u306f\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u547d\u984c5.1<\/span><\/p>\n<p>\u4f53F\u306e\u6a19\u6570\u3092p\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001F\u306f\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3067\u3042\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>p\u304c\u7d20\u6570\u306e\u6642\u3001\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u304c\u4f53\u3067\u3042\u308b\u3053\u3068\u306f\u793a\u3057\u305f\u3002<\/p>\n<p>\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u306e\u5143\u3092\\(\\{0,1,&#8230;,p-1\\} \\subset \\mathbb{Z}\\)\u306e\u5143\u306b\u5bfe\u5fdc\u3065\u3051\u308b\u5199\u50cf\u3092\\(\\phi(x)\\)\u3068\u304a\u304f\u3002\u3053\u306e\u6642\\(a \\in\\mathbb{Z}\/p\\mathbb{Z}\\)\u306b\u3088\u308b\u30b9\u30ab\u30e9\u30fc\u500d\u3092\u4efb\u610f\u306e\\(\\beta \\in F\\)\u306b\u5bfe\u3057\u3066\\(\\phi(a)\\beta \\in F\\)\u3068\u5b9a\u7fa9\u3059\u308b\u3002<\/p>\n<p>\u3053\u306e\u5b9a\u7fa9\u306b\u3088\u3063\u3066\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u516c\u7406\u3092\u6e80\u305f\u3059\u3053\u3068\u3092\u793a\u3059\u3002\u7279\u306b\u30b9\u30ab\u30e9\u30fc\u500d\u306b\u95a2\u3059\u308b\u516c\u7406\u3092\u3053\u3053\u3067\u793a\u3059\u3002<\/p>\n<p>\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u306e\u4efb\u610f\u306e2\u3064\u306e\u5143\\(a, b\\)\u3068\u4efb\u610f\u306e\\(\\beta \\in F\\)\u306b\u5bfe\u3057\u3066<br \/>\n\\(\\phi(a + b)\\beta = \\phi(a)\\beta + \\phi(b)\\beta\\)\u3067\u3042\u308b\u3053\u3068\u306f\u3001\\(c = a+b\\)\u3068\u304a\u3044\u305f\u6642\u306b\u3042\u308b\u6574\u6570n\u304c\u5b58\u5728\u3057\u3066\\(\\phi(a)+\\phi(b)-\\phi(c)=np\\)\u3068\u306a\u308a\u3001\u5b9a\u74062\u3088\u308a\\(\\phi(a + b)\\beta &#8211; \\phi(a)\\beta + \\phi(b)\\beta = np\\beta = 0\\)\u3068\u306a\u308b\u3053\u3068\u304b\u3089\u5f93\u3046\u3002<br \/>\n\u540c\u69d8\u306b\\(\\phi(a)(\\phi(b)\\beta) = \\phi(ab)\\beta\\)\u3082\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p>\u4ee5\u4e0a\u3088\u308aF\u304c\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<br \/>\n\u4ee5\u964d\u30b9\u30ab\u30e9\u30fc\u500d\u3092\\(\\phi(a)\\beta\\)\u3067\u306f\u306a\u304f\\(a\\beta\\)\u306e\u3088\u3046\u306b\u7565\u3057\u3066\u66f8\u304f\u3002<\/p>\n<\/div>\n<p>\u3053\u306e\u547d\u984c\u3092\u4f7f\u3046\u3068\u3001\u6709\u9650\u4f53\u306e\u5b58\u5728\u6027\u306b\u3064\u3044\u3066\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u793a\u305b\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u5b9a\u74065<\/span><\/p>\n<p>F\u304c\u6709\u9650\u4f53\u306a\u3089\u8981\u7d20\u6570\u306f\u3042\u308b\u7d20\u6570p\u3068\u3042\u308b\u81ea\u7136\u6570n\u3092\u7528\u3044\u3066\\(p^n\\)\u3068\u8868\u3055\u308c\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\u4efb\u610f\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306f\u57fa\u5e95\u3092\u6301\u3064\u3053\u3068\u304c\u30c4\u30a9\u30eb\u30f3\u306e\u88dc\u984c\u304b\u3089\u8a3c\u660e\u3055\u308c\u308b\u3002<br \/>\n\u3088\u3063\u3066\u3001\u4f8b\u3048\u3070\u57fa\u5e95\u3092\\(\\omega_1, \\omega_2,&#8230;, \\omega_n\\)\u3068\u304a\u304f\u3068\u3001F\u306e\u4efb\u610f\u306e\u5143\u306f\\(a_1\\omega_1+a_2\\omega_2+&#8230;+a_n\\omega_n\\)\u3068\u8868\u3055\u308c\u3001F\u306e\u5143\u30681\u5bfe1\u5bfe\u5fdc\u3059\u308b\u3002\u305f\u3060\u3057\u3053\u3053\u3067\u57fa\u5e95\u306e\u53d6\u308a\u65b9\u306b\u3088\u3089\u305a\u306b\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u6b21\u5143n\u306f\u4e00\u610f\u306b\u5b9a\u307e\u308b\u3002<br \/>\n\\(a_1,&#8230;,a_n \\in\\mathbb{Z}\/p\\mathbb{Z}\\)\u3088\u308aF\u306e\u8981\u7d20\u6570\u306f\\(p^n\\)\u3068\u306a\u308b\u3002<\/p>\n<\/div>\n<p>\u3053\u308c\u3092\u8a00\u3044\u63db\u3048\u308b\u3068\\(p^n\\)\u3068\u8868\u3055\u308c\u306a\u3044\u3088\u3046\u306a\u8981\u7d20\u6570\u306e\u6709\u9650\u4f53\u306f\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3 id=\"outline__2_3\">\u4efb\u610f\u306ep, s\u306b\u3064\u3044\u3066\\(p^s\\)\u500b\u306e\u5143\u3092\u6301\u3064\u4f53\u304c\u5b58\u5728\u3059\u308b<\/h3>\n<p>\u9006\u306b\u3042\u308b\u7d20\u6570p\u3068\u3042\u308b\u81ea\u7136\u6570n\u3092\u7528\u3044\u3066\\(p^n\\)\u3068\u8868\u3055\u308c\u308b\u3088\u3046\u306a\u5168\u3066\u306e\u6570\u306b\u3064\u3044\u3066\u3001\u305d\u308c\u304c\u8981\u7d20\u6570\u306b\u306a\u308b\u3088\u3046\u306a\u4f53\u306f\u5b58\u5728\u3059\u308b\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p>\u7b54\u3048\u306fYes\u3067\u3059\u3002<\/p>\n<p>\u4e00\u3064\u6ce8\u610f\u3057\u3066\u304a\u304d\u305f\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u304c\u8981\u7d20\u6570p\u306e\u6709\u9650\u4f53\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u3053\u3068\u304b\u3089\u3001\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u306en\u500b\u306e\u76f4\u548c\u304c\u8981\u7d20\u6570\\(p^n\\)\u306e\u6709\u9650\u4f53\u306a\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u601d\u3046\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u5b9f\u969b\u306b\u50d5\u306f\u305d\u3046\u601d\u3063\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001n\u304c2\u4ee5\u4e0a\u306e\u6642\u306b\u3053\u308c\u306f\u74b0\u3067\u306f\u3042\u308b\u3082\u306e\u306e\u4f53\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002\u4e57\u6cd5\u306b\u95a2\u3059\u308b\u5358\u4f4d\u5143\u306f\\((1,1,&#8230;,1)\\)\u3067\u3059\u304c\u3001\u4f8b\u3048\u30700\u5143\u3067\u306f\u306a\u3044\u5143\\((1,0,0,&#8230;,0)\\)\u304c\u9006\u5143\u3092\u6301\u305f\u306a\u3044\uff08\u5272\u308a\u7b97\u304c\u3067\u304d\u306a\u3044\uff09\u306e\u3067\u4f53\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u8a3c\u660e\u306e\u6d41\u308c\u3060\u3051\u3092\u5148\u306b\u8aac\u660e\u3057\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u3001\u65e2\u7d04\u591a\u9805\u5f0f\u3068\u306f\u305d\u308c\u4ee5\u4e0a\u56e0\u6570\u5206\u89e3\u3067\u304d\u306a\u3044\u591a\u9805\u5f0f\u306e\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001n\u6b21\u5143\u306e\u65e2\u7d04\u591a\u9805\u5f0f\u304c\u3042\u308c\u3070\\(p^n\\)\u500b\u306e\u8981\u7d20\u3092\u6301\u3064\u6709\u9650\u7fa4\u306f\u5b58\u5728\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u793a\u3057\u307e\u3059\uff08\u547d\u984c6.1\uff09\u3002\u305d\u306e\u5f8c\u3001\\(n\\geq1\\)\u306e\u6642\u306fn\u6b21\u5143\u306e\u65e2\u7d04\u591a\u9805\u5f0f\u304c\u5b58\u5728\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u4eca\u304b\u3089\u793a\u305d\u3046\u3068\u3057\u3066\u3044\u308b\u3053\u3068\u306f\u3042\u308b\u7a0b\u5ea6\u8907\u96d1\u3067\u3059\u306e\u3067\u3001\u9069\u5ea6\u306a\u4e8b\u524d\u77e5\u8b58\u304c\u306a\u3044\u5834\u5408\u306f\u6d41\u3057\u8aad\u307f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u547d\u984c6.1<\/span><\/p>\n<p>\\(f(x) \\in F[x]\\)\u304c\u65e2\u7d04\u591a\u9805\u5f0f\u306e\u6642\u3001\\(K=F[x]\/(f(x))\\)\u306f\u4f53\u306b\u306a\u308b\u3002\u307e\u305f\u81ea\u7136\u306a\u5199\u50cf\\(\\phi: F[x] \u2192 K\\)\u306b\u5bfe\u3057\u03c6(x) = \\(\\alpha\\)\u3068\u304a\u304df(x)\u306e\u6b21\u6570\u3092n\u3068\u304a\u3044\u305f\u6642\u306b\u3001K\u306fF\u4e0a\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u306a\u308a\\(1,\\alpha,&#8230;,\\alpha^{n-1}\\)\u306f\u305d\u306e\u57fa\u5e95\u3068\u306a\u308b\u3002<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>F[x]\u306fPID\u3067\u3042\u308b\u3002f(x)\u306f\u65e2\u7d04\u591a\u9805\u5f0f\u306a\u306e\u3067\\((f(x))\\)\u306f\u6975\u5927\u30a4\u30c7\u30a2\u30eb\u3068\u306a\u308b\u3002\u3088\u3063\u3066K\u306f\u4f53\u3068\u306a\u308b\u3002<br \/>\n\\(1,\\alpha,&#8230;,\\alpha^{n-1}\\)\u306fK\u3092\u69cb\u6210\u3059\u308b\u3002<\/p>\n<p>\u307e\u305f\u3001\\(a_0+a_1\\alpha_1+&#8230;+a_{n-1}\\alpha _{n-1}\\)\u3068\u306a\u308b\u3088\u3046\u306a\u4efb\u610f\u306e\\(a_0,&#8230;,a_{n-1}\\)\u306b\u5bfe\u3057\u3001\\(g(x) = a_{n-1}x^{n-1}+&#8230;+a_0\\)\u3068\u7f6e\u304f\u3068\\(g(\\alpha) = 0\\)\u3068\u306a\u308b\u3002<\/p>\n<p>\\(g(x)\\neq0\\)\u306e\u6642\u3001\\(f(x), g(x)\\)\u306f\u4e92\u3044\u306b\u7d20\u306a\u306e\u3067\\(p(x)f(x) + q(x)g(x) = 1\\)\u3068\u306a\u308b\u3088\u3046\u306a\\(p(x), q(x)\\)\u304c\u5b58\u5728\u3059\u308b\u3002\u3053\u308c\u3088\u308a\\(p(\\alpha)f(\\alpha) + q(\\alpha)g(\\alpha) = 1\\)\u304c\u5f97\u3089\u308c\u308b\u3002\u3057\u304b\u3057\u3053\u308c\u3088\u308a\\(0=1\\)\u304c\u5c0e\u304b\u308c\u308b\u3002\u3088\u3063\u3066\\(g(x)=0\\)\u3064\u307e\u308a\\(a_0,&#8230;,a_{n-1}=0\\)\u3068\u306a\u308b\u3002<\/p>\n<p>\u3088\u3063\u3066\\(1,\\alpha,&#8230;,\\alpha^{n-1}\\)\u306f\u7dda\u578b\u72ec\u7acb\u3067\u3042\u308b\u3002<\/p>\n<\/div>\n<p>\u3053\u3053\u3067\\(F_d(x)\\)\u3092\u6b21\u6570d\u3067\\(\\mathbb{Z}\/p\\mathbb{Z}\\)\u4e0a\u306e\u30e2\u30cb\u30c3\u30af\u306a\u65e2\u7d04\u591a\u9805\u5f0f\u5168\u3066\u306e\u7a4d\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u30e2\u30cb\u30c3\u30af\u3068\u3044\u3046\u306e\u306f\u6700\u5927\u6b21\u6570\u306e\u9805\u306e\u4fc2\u6570\u304c1\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n<p>\u3055\u3066\u3001\\(x^{p^n}-x\\)\u306e\u56e0\u6570\u5206\u89e3\u3092\u8003\u3048\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u7b49\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u547d\u984c6.2<\/span><\/p>\n<p>\\(x^{p^n}-x = \\prod_{d|n} F_d(x)\\)<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\u307e\u305a\\(x^{p^n}-x\\)\u306f\\(f(x)\\)\u3067\u5272\u308c\u305f\u5834\u5408\u3001\\(f(x)^2\\)\u3067\u5272\u308c\u306a\u3044\u3053\u3068\u304c\u307e\u305a\u793a\u3055\u308c\u308b\u3002<\/p>\n<p>\u6b21\u306b\\(f(x)\\)\u3092\u6b21\u6570d\u306e\u30e2\u30cb\u30c3\u30af\u306a\u65e2\u7d04\u591a\u9805\u5f0f\u3060\u3068\u3059\u308b\u3068\u3001\\(f(x)|x^{p^n}-x\\)\u3068\\(d|n\\)\u304c\u540c\u5024\u3060\u3068\u3044\u3046\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n<\/div>\n<p>\\(N_d\\)\u3092\u6b21\u6570d\u306e\u30e2\u30cb\u30c3\u30af\u306a\u65e2\u7d04\u591a\u9805\u5f0f\u306e\u6570\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u3059\u308b\u3068\u547d\u984c6.2\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u304d\u76f4\u305b\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u547d\u984c6.3<\/span><\/p>\n<p>\\(p^n = \\sum_{d|n} dN_d\\)<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\u547d\u984c6.2\u306b\u304a\u3044\u3066\u6b21\u6570\u306b\u6ce8\u76ee\u3059\u308c\u3070\u6c42\u307e\u308b\u3002<\/p>\n<\/div>\n<p>\u4ee5\u4e0a\u3092\u7528\u3044\u308b\u3068\u3001\u6709\u9650\u4f53\u306e\u5b58\u5728\u306b\u3064\u3044\u3066\u4ee5\u4e0b\u306e\u7d50\u8ad6\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<div class=\"borderBox\">\n<p><span style=\"text-decoration: underline;\">\u5b9a\u74066<\/span><\/p>\n<p>\u4efb\u610f\u306ep, s\u306b\u3064\u3044\u3066\\(p^s\\)\u500b\u306e\u5143\u304c\u3042\u308b\u4f53\u304c\u5b58\u5728\u3059\u308b<\/p>\n<p><span style=\"text-decoration: underline;\">\u8a3c\u660e<\/span><\/p>\n<p>\u30e1\u30d3\u30a6\u30b9\u306e\u53cd\u8ee2\u516c\u5f0f\u3088\u308a\u3001\u30e1\u30d3\u30a6\u30b9\u306e\\(\\mu\\)\u95a2\u6570\u3092\u4f7f\u3046\u3068\u3001<\/p>\n<p>\\(N_n=n^{-1}\\sum_{d|n}\\mu(n\/d)p^d\\)<\/p>\n<p>\u3068\u306a\u308b\u3002\u3088\u3063\u3066\\(n\\geq1\\)\u306e\u6642\u3001\\(N_n \\geq 1\\)\u3067\u3042\u308b\u3002\u3064\u307e\u308a\u3001\u4efb\u610f\u306en\u306b\u3064\u3044\u3066n\u6b21\u306e\u65e2\u7d04\u591a\u9805\u5f0f\u306f\u5b58\u5728\u3059\u308b\u3002<br \/>\n\u3088\u3063\u3066\u547d\u984c4\u3088\u308a\u3001\u4efb\u610f\u306ep, s\u306b\u3064\u3044\u3066\\(p^s\\)\u500b\u306e\u5143\u3092\u6301\u3064\u4f53\u304c\u5b58\u5728\u3059\u308b\u3002<\/p>\n<\/div>\n<p>\u4e0e\u3048\u3089\u308c\u305f\u8981\u7d20\u6570\u3092\u6301\u3064\u4f53\u306e\u5b58\u5728\u6027\u304c\u8a00\u3048\u307e\u3057\u305f\u3002<\/p>\n<h2 id=\"outline__3\">\u6700\u5f8c\u306b<\/h2>\n<p>\u4ee3\u6570\u5b66\u306b\u5bfe\u3059\u308b\u77e5\u8b58\u304c\u307b\u3068\u3093\u3069\u306a\u304b\u3063\u305f\u306e\u306b\u3001\u3075\u3068\u3057\u305f\u62cd\u5b50\u306b\u3053\u306e\u8a18\u4e8b\u306b\u305f\u3069\u308a\u7740\u3044\u305f\u4eba\u306f\u300c\u8981\u7d20\u6570\u304c\\(p^n\\)\u500b\u3068\u306a\u308b\u3088\u3046\u306a\u6709\u9650\u4f53\u306f\u5b58\u5728\u3059\u308b\u3001\u305d\u3057\u3066\u3053\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u306a\u3044\u8981\u7d20\u6570\u306e\u6709\u9650\u4f53\u306f\u306a\u3044\u300d\u3068\u3044\u3046\u3053\u3068\u3001\u305d\u3057\u3066\u300c\u6a19\u6570\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u3001\u4fbf\u5229\u306a\u5b9a\u7406\u304c\u4f7f\u3048\u308b\u300d\u3068\u3044\u3046\u3053\u3068\u3092\u5fc3\u306e\u3069\u3053\u304b\u306b\u7f6e\u3044\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u305d\u3057\u3066\u3001\u6709\u9650\u4f53\u306b\u3082\u3063\u3068\u8a73\u3057\u304f\u306a\u308a\u305f\u304f\u3066\u3053\u306e\u8a18\u4e8b\u306b\u305f\u3069\u308a\u7740\u3044\u305f\u4eba\u306f\u4e00\u3064\u4e00\u3064\u306e\u8a3c\u660e\u3092\u3057\u3063\u304b\u308a\u8aad\u307f\u89e3\u3044\u3066\u884c\u3063\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u4eca\u56de\u306e\u5185\u5bb9\u306f\u4ee5\u4e0b\u306e\u672c\u3092\u53c2\u8003\u306b\u3057\u3066\u66f8\u304d\u307e\u3057\u305f\u3002\u307b\u3068\u3093\u3069\u4e88\u5099\u77e5\u8b58\u3092\u4eee\u5b9a\u3057\u3066\u304a\u3089\u305a\u3001\u7fa4\u30fb\u74b0\u30fb\u4f53\u306b\u95a2\u3059\u308b\u57fa\u672c\u7684\u306a\u77e5\u8b58\u304c\u3042\u308c\u3070\u8aad\u307f\u9032\u3081\u3089\u308c\u308b\u306e\u3067\u3001\u6574\u6570\u8ad6\u306b\u8208\u5473\u306e\u3042\u308b\u65b9\u3084\u4eca\u56de\u306e\u8a18\u4e8b\u304c\u9762\u767d\u3044\u3068\u611f\u3058\u305f\u65b9\u306f\u305c\u3072\u8aad\u3093\u3067\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<div data-role=\"amazonjs\" data-asin=\"038797329X\" data-locale=\"JP\" data-tmpl=\"\" data-img-size=\"\" class=\"asin_038797329X_JP_ amazonjs_item\"><div class=\"amazonjs_indicator\"><span class=\"amazonjs_indicator_img\"><\/span><a class=\"amazonjs_indicator_title\" href=\"#\">A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics)<\/a><span class=\"amazonjs_indicator_footer\"><\/span><\/div><\/div>\n<p>\u6700\u5f8c\u307e\u3067\u8aad\u3093\u3067\u3044\u305f\u3060\u304d\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5927\u5b66\u306b\u5165\u3063\u305f\u3089\u3001\u7fa4\u30fb\u74b0\u30fb\u4f53\u3068\u3044\u3046\u3042\u308b\u69cb\u9020\u304c\u5165\u3063\u305f\u96c6\u5408\u3092\u5b66\u3093\u3067\u3044\u304f\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002 \u305d\u306e\u4e2d\u3067\u3082\u3001\u6574\u6570\u306b\u3064\u3044\u3066\u52c9\u5f37\u3092\u3057\u3088\u3046\u3068\u601d\u3063\u305f\u3089\u6709\u9650\u306a\u8981\u7d20\u3067\u69cb\u6210\u3055\u308c\u308b\u4f53\u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u51fa\u3066\u6765\u307e\u3059\u3002 \u3053\u3053\u3067\u306f\u6a19\u6570\u3068\u306f\u4f55\u304b\u3068\u3044\u3046\u3053\u3068\u3084\u6709\u9650\u4f53\u3068\u8981\u7d20\u6570\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u57fa\u672c\u7684\u306a\u3068\u3053\u308d\u3092\u307e\u3068\u3081\u3066\u304a\u304d\u307e\u3059\u3002 \u8a3c\u660e\u306f\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u4eba\u306e\u305f\u3081\u306b\u66f8\u3044\u3066\u3044\u308b\u306e\u3067\u57fa\u672c\u7684\u306b\u98db\u3070\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u308f\u304b\u3089\u306a\u3044\u3068\u3053\u308d\u304c\u3042\u308c\u3070Twitter\u306a\u3069\u3067\u6c17\u8efd\u306b\u8a71\u3057 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1088,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_newsletter_tier_id":0,"footnotes":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[7],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/it1.jp\/wp-content\/uploads\/2018\/10\/\u6709\u9650\u4f53.png?fit=1000%2C667&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p89t1T-gW","jetpack-related-posts":[{"id":305,"url":"https:\/\/it1.jp\/?p=305","url_meta":{"origin":1050,"position":0},"title":"\u6570\u5b66\u3067\u5b87\u5b99\u3092\u8003\u3048\u308b","author":"koji 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