{"id":91090,"date":"2019-05-21T16:02:20","date_gmt":"2019-05-21T23:02:20","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2019\/05\/mathematicians-revive-abandoned-approach-to-the-riemann-hypothesis"},"modified":"2019-05-21T16:02:20","modified_gmt":"2019-05-21T23:02:20","slug":"mathematicians-revive-abandoned-approach-to-the-riemann-hypothesis","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2019\/05\/mathematicians-revive-abandoned-approach-to-the-riemann-hypothesis","title":{"rendered":"Mathematicians revive abandoned approach to the Riemann Hypothesis"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/mathematicians-revive-abandoned-approach-to-the-riemann-hypothesis.jpg\"><\/a><\/p>\n<p>Many ways to approach the Riemann Hypothesis have been proposed during the past 150 years, but none of them have led to conquering the most famous open problem in mathematics. A new paper in the <i>Proceedings of the National Academy of Sciences<\/i> (<i>PNAS<\/i>) suggests that one of these old approaches is more practical than previously realized.<\/p>\n<p>\u201cIn a surprisingly short proof, we\u2019ve shown that an old, abandoned approach to the Riemann Hypothesis should not have been forgotten,\u201d says Ken Ono, a <a href=\"https:\/\/phys.org\/tags\/number\/\" rel=\"tag\" class=\"\">number<\/a> theorist at Emory University and co-author of the paper. \u201cBy simply formulating a proper framework for an old approach we\u2019ve proven some new theorems, including a large chunk of a criterion which implies the Riemann Hypothesis. And our general framework also opens approaches to other basic unanswered questions.\u201d<\/p>\n<p>The paper builds on the work of Johan Jensen and George P\u00f3lya, two of the most important mathematicians of the 20th century. It reveals a method to calculate the Jensen-P\u00f3lya polynomials\u2014a formulation of the Riemann Hypothesis\u2014not one at a time, but all at once.<\/p>\n<p><a href=\"https:\/\/phys.org\/news\/2019-05-mathematicians-revive-abandoned-approach-riemann.html\" target=\"_blank\" rel=\"noopener noreferrer\"><\/p>\n<div style=\"clear:both;\">Read more<\/div>\n<p><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Many ways to approach the Riemann Hypothesis have been proposed during the past 150 years, but none of them have led to conquering the most famous open problem in mathematics. A new paper in the Proceedings of the National Academy of Sciences (PNAS) suggests that one of these old approaches is more practical than previously [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2229],"tags":[],"class_list":["post-91090","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/91090","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=91090"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/91090\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=91090"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=91090"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=91090"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}