{"id":22,"date":"2018-01-08T16:21:39","date_gmt":"2018-01-08T16:21:39","guid":{"rendered":"https:\/\/math-sites.uncg.edu\/number-theory\/?p=22"},"modified":"2025-01-24T19:37:58","modified_gmt":"2025-01-24T19:37:58","slug":"zeta-left","status":"publish","type":"post","link":"https:\/\/math-sites.uncg.edu\/number-theory\/zeta-left\/","title":{"rendered":"Zeros of the derivatives of the Riemann zeta function on the left half plane"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-23 size-full\" src=\"https:\/\/math-sites.uncg.edu\/number-theory\/wp-content\/uploads\/sites\/6\/2018\/01\/figleft.png\" alt=\"Zeros of the derivatives of the Riemann zeta function on the left half plane\" width=\"562\" height=\"580\" srcset=\"https:\/\/math-sites.uncg.edu\/number-theory\/wp-content\/uploads\/sites\/6\/2018\/01\/figleft.png 562w, https:\/\/math-sites.uncg.edu\/number-theory\/wp-content\/uploads\/sites\/6\/2018\/01\/figleft-291x300.png 291w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>The plot shows zeros k of the derivatives $$\\zeta^{(k)}(\\sigma+it)$$ of the Riemann Zeta function the complex plane. For a table of zeros of $$\\zeta^{(k)}$$ on the left half plane see<a href=\"https:\/\/math-sites.uncg.edu\/sites\/pauli\/publications\/farr-pauli_zeta-deriv-left-half-plane.pdf\"> More Zeros of the Derivatives of the Riemann Zeta Function on the Left Half Plane<\/a> by Ricky Farr and <a href=\"https:\/\/math-sites.uncg.edu\/directory\/pauli\/\">Sebastian Pauli<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The plot shows zeros k of the derivatives $$\\zeta^{(k)}(\\sigma+it)$$ of the Riemann Zeta function the complex plane. For a table of zeros&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[],"class_list":["post-22","post","type-post","status-publish","format-standard","hentry","category-number-theory"],"acf":[],"_links":{"self":[{"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/posts\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":4,"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/posts\/22\/revisions"}],"predecessor-version":[{"id":249,"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/posts\/22\/revisions\/249"}],"wp:attachment":[{"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/media?parent=22"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/categories?post=22"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/number-theory\/wp-json\/wp\/v2\/tags?post=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}