{"categories":["\u5186\u5206\u4f53","\u5186\u5206\u591a\u9805\u5f0f"],"url":"https://biteki-math.hatenablog.com/entry/2015/04/21/124949","description":"\u4eca\u56de\u306f\u3001\u5186\u5206\u591a\u9805\u5f0f\u304c\\(\\bmod{p}\\)\u3067\u3069\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3055\u308c\u308b\u304b\u8003\u3048\u307e\u3059\u3002\u4e00\u822c\u7684\u306b\u6574\u6570\u4fc2\u6570\u591a\u9805\u5f0f\u306f\u6574\u6570\u4fc2\u6570\u591a\u9805\u5f0f\u4e0a\u65e2\u7d04\uff08\u3053\u308c\u4ee5\u4e0a\u56e0\u6570\u5206\u89e3\u3067\u304d\u306a\u3044\uff09\u5834\u5408\u3067\u3082\u3001\\(\\bmod{p}\\)\u3092\u3059\u308b\u3068\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3068\u304d\u304c\u3042\u308a\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u3001\\( x^{2}+1 \\) \u306f\u6574\u6570\u4fc2\u6570\u591a\u9805\u5f0f\u3068\u3057\u3066\u306f\u65e2\u7d04\u3067\u3059\u304c\\(\\bmod{5}\\)\u3067\u306f \\[\\begin{align} x^{2}+1&=x^{2}-4 & \\pmod{5} \\\\ &=(x-2)(x+2) &\\pmod{5} \\end{align}\\] \u3068\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002 \\(\\Phi_{5}(x)\\)\u306e\\(\\bmod{p}\\)\u3067\u306e\u56e0\u6570\u5206\u89e3 \\(\\Ph\u2026","type":"rich","width":"100%","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fbiteki-math.hatenablog.com%2Fentry%2F2015%2F04%2F21%2F124949\" title=\"\u5186\u5206\u591a\u9805\u5f0f\u306emod p\u306b\u304a\u3051\u308b\u56e0\u6570\u5206\u89e3 - \u7f8e\u7684\u6570\u5b66\u306e\u3059\u3059\u3081\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","height":"190","blog_url":"https://biteki-math.hatenablog.com/","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","title":"\u5186\u5206\u591a\u9805\u5f0f\u306emod p\u306b\u304a\u3051\u308b\u56e0\u6570\u5206\u89e3","published":"2015-04-21 12:49:49","blog_title":"\u7f8e\u7684\u6570\u5b66\u306e\u3059\u3059\u3081","image_url":null,"author_name":"TSKi","author_url":"https://blog.hatena.ne.jp/TSKi/","version":"1.0"}