{"id":232,"date":"2013-04-25T22:37:04","date_gmt":"2013-04-26T02:37:04","guid":{"rendered":"http:\/\/www.curtisbright.com\/bln\/?p=232"},"modified":"2013-04-25T22:37:04","modified_gmt":"2013-04-26T02:37:04","slug":"quick-polynomial-problem","status":"publish","type":"post","link":"http:\/\/localhost\/blog\/index.php\/2013\/04\/25\/quick-polynomial-problem\/","title":{"rendered":"Quick polynomial problem"},"content":{"rendered":"<p>Here&#8217;s an interesting polynomial property that arose in my recent number theory project.<\/p>\n<p>Let $f$ be a monic polynomial with integer coefficients. Show that $f$ is squarefree over $\\mathbb{C}$ if and only if $f$ is squarefree over $\\mathbb{Z}$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here&#8217;s an interesting polynomial property that arose in my recent number theory project. Let $f$ be a monic polynomial with integer coefficients. Show that $f$ is squarefree over $\\mathbb{C}$ if and only if $f$ is squarefree over $\\mathbb{Z}$.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"_links":{"self":[{"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/posts\/232"}],"collection":[{"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/comments?post=232"}],"version-history":[{"count":0,"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/posts\/232\/revisions"}],"wp:attachment":[{"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/media?parent=232"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/categories?post=232"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/blog\/index.php\/wp-json\/wp\/v2\/tags?post=232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}