{"id":3677,"date":"2023-10-20T16:04:22","date_gmt":"2023-10-20T20:04:22","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=3677"},"modified":"2026-03-19T08:10:23","modified_gmt":"2026-03-19T12:10:23","slug":"everett-howe","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/everett-howe\/","title":{"rendered":"Everett Howe"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Everett Howe<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">\u00a0Powers of 3 with few nonzero bits<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract:<br>\nNumber theory is known as a field in which simple questions can sometimes only be answered using very advanced techniques. I&#8217;ll present an instance of a simple problem &#8212; going back in one form to a 14th century musicologist, and related to a 20th century conjecture of Erd\u0151s &#8212; whose solution seems unattainable with the high-powered techniques experts would first think of, but which can in fact be solved using only elementary arguments. The only difficulty involves*finding* the elementary solution, and carrying out the necessary computations.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-3677","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/3677","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=3677"}],"version-history":[{"count":2,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/3677\/revisions"}],"predecessor-version":[{"id":3799,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/3677\/revisions\/3799"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=3677"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}