{"id":4283,"date":"2025-02-23T10:27:53","date_gmt":"2025-02-23T09:27:53","guid":{"rendered":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/?p=4283"},"modified":"2025-02-23T10:27:53","modified_gmt":"2025-02-23T09:27:53","slug":"quadratic-kitaoka","status":"publish","type":"post","link":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/archives\/4283","title":{"rendered":"Quadratic Kitaoka"},"content":{"rendered":"<p>After too many years, Blazej, Dayoon, Kuba, Pavlo, and Vita finally finished a <a href=\"https:\/\/arxiv.org\/abs\/2501.19371\">paper<\/a> on Kitaoka&#8217;s conjecture for real quadratic fields. Combining a careful theoretical work with non-trivial computations, we prove that there are at most 13 real quadratic fields that have a universal ternary quadratic form.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>After too many years, Blazej, Dayoon, Kuba, Pavlo, and Vita finally finished a paper on Kitaoka&#8217;s conjecture for real quadratic fields. Combining a careful theoretical work with non-trivial computations, we prove that there are at most 13 real quadratic fields that have a universal ternary quadratic form.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_kad_post_transparent":"default","_kad_post_title":"default","_kad_post_layout":"default","_kad_post_sidebar_id":"","_kad_post_content_style":"default","_kad_post_vertical_padding":"default","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-4283","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts\/4283","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/comments?post=4283"}],"version-history":[{"count":1,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts\/4283\/revisions"}],"predecessor-version":[{"id":4284,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/posts\/4283\/revisions\/4284"}],"wp:attachment":[{"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/media?parent=4283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/categories?post=4283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www1.karlin.mff.cuni.cz\/~kala\/web\/wp-json\/wp\/v2\/tags?post=4283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}