{"id":59589,"date":"2007-02-07T00:00:00","date_gmt":"2007-02-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/series-de-ramanujan-generalizaciones-y-conjeturas\/"},"modified":"2007-02-07T00:00:00","modified_gmt":"2007-02-07T00:00:00","slug":"series-de-ramanujan-generalizaciones-y-conjeturas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/zaragoza\/series-de-ramanujan-generalizaciones-y-conjeturas\/","title":{"rendered":"Series de ramanujan. generalizaciones y conjeturas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jes\u00fas Miguel Guillera Goyanes <\/strong><\/h2>\n<p>Mediante el m\u00e9todo wz demostramos, de un modo sencillo y directo, 8 series de tipo ramanujan para 1 divido por pi y 3 series similares para 1 dividido por pi elevado al cuadrado. Modificando los pares wz asociados a las demostraciones anteriores y utilizando una estrategia diferente obenemos algunas identidades hipergeom\u00e9tricas. Estas identidades inspiran ciertas conjeturas, una de las cuales nos lleva a descubrir 4 series m\u00e1s para la constante 1 dividido por pi al cuadrado que no han podido ser demostradas todav\u00eda. Finalmente damos, un m\u00e9todo para obtener las f\u00f3rmulas que determinan las familias de series de tipo ramanujan-sato.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Series de ramanujan. generalizaciones y conjeturas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Series de ramanujan. generalizaciones y conjeturas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jes\u00fas Miguel Guillera Goyanes <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 02\/07\/2007<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Wadim Zudilin<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Bastero eleizalde <\/li>\n<li>Juan  Carlos Peral alonso (vocal)<\/li>\n<li>Fernando Chamizo lorente (vocal)<\/li>\n<li>herbert Wilf (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jes\u00fas Miguel Guillera Goyanes Mediante el m\u00e9todo wz demostramos, de un modo sencillo y directo, 8 series [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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