{"id":58152,"date":"2026-10-03T10:53:58","date_gmt":"2026-10-03T01:53:58","guid":{"rendered":"https:\/\/hitokotojisyo.com\/?p=58152"},"modified":"2026-10-03T10:54:51","modified_gmt":"2026-10-03T01:54:51","slug":"abc%e4%ba%88%e6%83%b3-%e3%81%88%e3%83%bc%e3%81%b3%e3%83%bc%e3%81%97%e3%83%bc%e3%82%88%e3%81%9d%e3%81%86","status":"publish","type":"post","link":"https:\/\/hitokotojisyo.com\/?p=58152","title":{"rendered":"ABC\u4e88\u60f3 (\u3048\u30fc\u3073\u30fc\u3057\u30fc\u3088\u305d\u3046)"},"content":{"rendered":"\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Abc conjecture\u00a0<\/strong>\u8aad\u307f\uff1a\u30a8\u30fc\u30d3\u30fc\u30b7\u30fc\u30b3\u30f3\u30b8\u30a7\u30af\u30c1\u30e3\u30fc<br><strong>ABC\u4e88\u60f3\u00a0<\/strong>\u8aad\u307f\uff1a\u30a8\u30fc\u30d3\u30fc\u30b7\u30fc\u30e8\u30bd\u30a6<br><strong>Oesterl\u00e9\u2013Masser conjecture\u00a0<\/strong>\u8aad\u307f\uff1a\u30aa\u30b9\u30c6\u30eb\u30ec\u30de\u30c3\u30b5\u30fc\u30b3\u30f3\u30b8\u30a7\u30af\u30c1\u30e3\u30fc<br>\u3068\u306f\u3001<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color wp-elements-1 wp-block-paragraph\" style=\"font-size:21px\"><strong>\u300e\u4e92\u3044\u306b\u7d20\u306a\u6b63\u306e\u6574\u6570 (a,b,c) \u304c (a+b=c) \u3092\u6e80\u305f\u3059\u3068\u304d\u3001(c) \u306e\u5927\u304d\u3055\u304c\u3001(abc) \u306b\u542b\u307e\u308c\u308b\u7570\u306a\u308b\u7d20\u6570\u306e\u7a4d\u306b\u3088\u3063\u3066\u4e00\u5b9a\u306e\u7bc4\u56f2\u306b\u5236\u9650\u3055\u308c\u308b\u3068\u3044\u3046\u6570\u8ad6\u306e\u4e88\u60f3\u300f<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\">\u6982\u8981<\/h2>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>ABC\u4e88\u60f3<\/strong>\u3068\u306f\u3001\u6574\u6570\u306e\u8db3\u3057\u7b97\u3068\u7d20\u56e0\u6570\u5206\u89e3\u306e\u9593\u306b\u6210\u308a\u7acb\u3064\u95a2\u4fc2\u306b\u3064\u3044\u3066\u306e\u4e88\u60f3\u30021985\u5e74\u306b\u30b8\u30e7\u30bc\u30d5\u30fb\u30aa\u30b9\u30c6\u30eb\u30ec(Joseph Oesterl\u00e9)\u3068\u30c7\u30a4\u30f4\u30a3\u30c3\u30c9\u30fb\u30de\u30c3\u30b5\u30fc(David Masser)\u306b\u3088\u3063\u3066\u63d0\u5531\u3055\u308c\u305f\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\u6b63\u306e\u6574\u6570 (a,b,c) \u304c (a+b=c) \u3092\u6e80\u305f\u3057\u3001\u4e92\u3044\u306b\u7d20\u3067\u3042\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u3001(abc) \u306b\u542b\u307e\u308c\u308b\u7570\u306a\u308b\u7d20\u6570\u3092\u91cd\u8907\u306a\u304f\u639b\u3051\u5408\u308f\u305b\u305f\u6570\u3092 (<em>\\operatorname{rad}(abc)<\/em>) \u3068\u8868\u3059\u3002<strong>ABC\u4e88\u60f3<\/strong>\u306f\u3001\u4efb\u610f\u306e\u5b9f\u6570 (<em>\\varepsilon>0<\/em>) \u306b\u5bfe\u3057\u3066\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><em>$$c > \\operatorname{rad}(abc)^{1+\\varepsilon}$$<\/em><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\u3092\u6e80\u305f\u3059\u7d44 ((a,b,c)) \u306f\u6709\u9650\u500b\u3057\u304b\u5b58\u5728\u3057\u306a\u3044\u3068\u4e3b\u5f35\u3059\u308b\u3002\u3064\u307e\u308a\u3001(c) \u304c\u7570\u306a\u308b\u7d20\u6570\u306e\u7a4d\u306b\u6bd4\u3079\u3066\u6975\u7aef\u306b\u5927\u304d\u304f\u306a\u308b\u4f8b\u306f\u3001\u3069\u308c\u307b\u3069\u5927\u304d\u306a\u6574\u6570\u3092\u8003\u3048\u3066\u3082\u3001\u4e00\u5b9a\u306e\u7bc4\u56f2\u306b\u9650\u3089\u308c\u308b\u3068\u3044\u3046\u8003\u3048\u65b9\u3067\u3042\u308b\u3002\u540c\u5024\u306a\u8868\u73fe\u3068\u3057\u3066\u3001(<em>\\varepsilon>0<\/em>) \u3054\u3068\u306b\u5b9a\u6570 (<em>K_\\varepsilon<\/em>) \u304c\u5b58\u5728\u3057\u3001\u3059\u3079\u3066\u306e\u8a72\u5f53\u3059\u308b\u7d44\u306b\u3064\u3044\u3066\u6b21\u306e\u4e0d\u7b49\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3068\u8ff0\u3079\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><em>$$c &lt; K_\\varepsilon\\operatorname{rad}(abc)^{1+\\varepsilon}$$<\/em><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>ABC\u4e88\u60f3<\/strong>\u304c\u6210\u7acb\u3059\u308c\u3070\u3001<a href=\"https:\/\/hitokotojisyo.com\/?p=28825\">\u30d5\u30a7\u30eb\u30de\u30fc\u306e\u6700\u7d42\u5b9a\u7406<\/a>\u306b\u95a2\u9023\u3059\u308b\u7d50\u679c\u3092\u306f\u3058\u3081\u3001\u6570\u8ad6\u306e\u3055\u307e\u3056\u307e\u306a\u554f\u984c\u306b\u91cd\u8981\u306a\u5e30\u7d50\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\u671b\u6708\u65b0\u4e00\u306f2012\u5e74\u306b<a href=\"https:\/\/hitokotojisyo.com\/?p=58147\">\u5b87\u5b99\u969b\u30bf\u30a4\u30d2\u30df\u30e5\u30e9\u30fc\u7406\u8ad6<\/a>\u3092\u7528\u3044\u305f\u8a3c\u660e\u3092\u767a\u8868\u3057\u3001\u95a2\u9023\u8ad6\u6587\u306f2021\u5e74\u306b\u5b66\u8853\u8a8c\u306b\u63b2\u8f09\u3055\u308c\u305f\u304c\u3001\u305d\u306e\u8a3c\u660e\u306e\u6570\u5b66\u7684\u59a5\u5f53\u6027\u306b\u3064\u3044\u3066\u306f\u7570\u8ad6\u304c\u3042\u308a\u3001\u8b70\u8ad6\u304c\u7d9a\u3044\u3066\u3044\u308b\u3002<a href=\"https:\/\/hitokotojisyo.com\/entry\/2024\/02\/07\/135949\"><\/a><a href=\"https:\/\/hitokotojisyo.com\/entry\/2023\/10\/29\/185046\"><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\">\u8a9e\u6e90<a href=\"https:\/\/hitokotojisyo.com\/entry\/2024\/02\/07\/135949\"><\/a><a href=\"https:\/\/hitokotojisyo.com\/entry\/2023\/10\/29\/185046\"><\/a><\/h2>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u8a73\u7d30\u226b<\/summary>\n<p class=\"has-text-align-center wp-block-paragraph\">\u300c<strong>ABC<\/strong>\u300d\u306f\u3001\u4e88\u60f3\u306e\u5bfe\u8c61\u3068\u306a\u308b\u6574\u6570 (a,b,c) \u3092\u8868\u3059\u3002\u300c\u4e88\u60f3\u300d\u306f\u3001\u6570\u5b66\u306b\u304a\u3044\u3066\u3001\u6b63\u3057\u3044\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u308b\u3082\u306e\u306e\u3001\u8a3c\u660e\u304c\u78ba\u7acb\u3057\u3066\u3044\u306a\u3044\u547d\u984c\u3092\u6307\u3059\u3002<strong>ABC\u4e88\u60f3<\/strong>\u306f\u3001\u30aa\u30b9\u30c6\u30eb\u30ec\u3068\u30de\u30c3\u30b5\u30fc\u306b\u3088\u3063\u30661985\u5e74\u306b\u63d0\u5531\u3055\u308c\u305f\u3053\u3068\u304b\u3089\u3001<strong>Oesterl\u00e9\u2013Masser conjecture<\/strong>\u300c\u30aa\u30b9\u30c6\u30eb\u30ec\u30fb\u30de\u30c3\u30b5\u30fc\u4e88\u60f3\u300d\u3068\u3082\u547c\u3070\u308c\u308b\u3002<\/p>\n<\/details>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\"><strong>\u95a2\u9023\u8a18\u4e8b<\/strong><\/h2>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/hitokotojisyo.com\/?p=28825\">\u30d5\u30a7\u30eb\u30de\u30fc\u306e\u6700\u7d42\u5b9a\u7406<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/hitokotojisyo.com\/?p=58147\">\u5b87\u5b99\u969b\u30bf\u30a4\u30d2\u30df\u30e5\u30e9\u30fc\u7406\u8ad6<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abc conjecture\u00a0\u8aad\u307f\uff1a\u30a8\u30fc\u30d3\u30fc\u30b7\u30fc\u30b3\u30f3\u30b8\u30a7\u30af\u30c1\u30e3\u30fcABC\u4e88\u60f3\u00a0\u8aad\u307f\uff1a\u30a8\u30fc\u30d3\u30fc\u30b7\u30fc\u30e8\u30bd\u30a6Oesterl\u00e9\u2013Masser conjecture\u00a0\u8aad\u307f\uff1a\u30aa\u30b9\u30c6\u30eb\u30ec\u30de\u30c3\u30b5\u30fc\u30b3\u30f3\u30b8\u30a7\u30af\u30c1\u30e3\u30fc\u3068\u306f\u3001 \u300e\u4e92\u3044\u306b\u7d20\u306a\u6b63\u306e\u6574 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21],"tags":[],"class_list":["post-58152","post","type-post","status-publish","format-standard","hentry","category-21"],"_links":{"self":[{"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=\/wp\/v2\/posts\/58152","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=58152"}],"version-history":[{"count":2,"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=\/wp\/v2\/posts\/58152\/revisions"}],"predecessor-version":[{"id":58156,"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=\/wp\/v2\/posts\/58152\/revisions\/58156"}],"wp:attachment":[{"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=58152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=58152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hitokotojisyo.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=58152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}