{"id":154180,"date":"2024-10-25T10:36:32","date_gmt":"2024-10-25T10:36:32","guid":{"rendered":"https:\/\/raed.academy\/?p=154180"},"modified":"2024-10-25T10:37:14","modified_gmt":"2024-10-25T10:37:14","slug":"de-la-funcio-tau-a-les-equacions-diofantiques","status":"publish","type":"post","link":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/","title":{"rendered":"De la funci\u00f3 tau a les equacions diof\u00e0ntiques"},"content":{"rendered":"
\"Dra.

Dra. Pilar Bayer<\/p><\/div>\n

Pilar Bayer<\/strong><\/em><\/a>, catedr\u00e0tica em\u00e8rita de la Universitat de Barcelona<\/strong>, \u200b\u200bfundadora del Seminari de Teoria de Nombres de Barcelona<\/strong>, \u200b\u200bmembre de la Junta de Govern<\/strong> de la Societat Catalana de Matem\u00e0tiques<\/strong>\u00a0i acad\u00e8mica de n\u00famero i vicepresidenta de la Secci\u00f3 de Ci\u00e8ncies Experimentals de la Reial Acad\u00e8mia Europea de Doctors-Barcelona 1914<\/strong> (RAED), va pronunciar el 17 d’octubre passat la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona<\/strong>, \u200b\u200bde la qual n’\u00e9s membre, que va portar per t\u00edtol “Equacions diof\u00e0ntiques: la recerca de les lleis que regeixen els nombres”<\/strong>.”Les equacions diof\u00e0ntiques s\u00f3n senzilles de formular. Per definir-les, nom\u00e9s cal con\u00e8ixer les quatre operacions aritm\u00e8tiques b\u00e0siques: sumar, restar, multiplicar i dividir. Tot i aix\u00f2, resoldre-les \u00e9s una q\u00fcesti\u00f3 molt diferent. Les seves solucions sovint representen nom\u00e9s la punta d’un iceberg immers en un univers num\u00e8ric. Revelar una part d’aquest univers \u00e9s l’objectiu de la nostra lli\u00e7\u00f3. rang d’una corba el\u00b7l\u00edptica i les propietats de la seva funci\u00f3 L”, va resumir la ponent la seva intervenci\u00f3.<\/p>\n

Un dia abans, Bayer va oferir la confer\u00e8ncia inaugural del curs de la Facultat de Matem\u00e0tiques i Estad\u00edstica de la Universitat Polit\u00e8cnica de Catalunya<\/strong>, dedicat aquest any al matem\u00e0tic indi Srinivasa Ramanujan<\/strong>. D’aqu\u00ed que la xerrada de l’acad\u00e8mica port\u00e9s per t\u00edtol “Ramanujan i l’infinit: de les particions a la funci\u00f3 tau”<\/strong>, en qu\u00e8 va presentar alguns dels seus descobriments i va explicar com Ramanujan va revolucionar el camp de les particions amb les seves intu\u00efcions i f\u00f3rmules asimpt\u00f2tiques. Aix\u00ed mateix, va introduir la funci\u00f3 tau, que va definir com una de les seves creacions m\u00e9s misterioses i genu\u00efnes del matem\u00e0tic indi, aix\u00ed com en les matem\u00e0tiques que posteriorment se’n van derivar. La sessi\u00f3 va comptar amb la pres\u00e8ncia de Jordi Gu\u00e0rdia<\/strong>, deg\u00e0 de la facultat.<\/p>\n

Bayer protagonitza la campanya #cient\u00edfiquesCASIO<\/strong> donant la seva imatge a una calculadora cient\u00edfica d’aquesta reconeguda firma tecnol\u00f2gica sumant-se aix\u00ed a un projecte divulgatiu que la Divisi\u00f3 Educativa de l’empresa va posar en marxa ja fa cinc anys per donar visibilitat a les investigadores coincidint amb el Dia Internacional de la Dona Matem\u00e0tica<\/strong>. Aix\u00ed mateix, \u00e9s una de les principals protagonistes de les noves rutes tur\u00edstiques familiars basades en les matem\u00e0tiques i en la tecnologia liderades per dones que impulsa la Generalitat de Catalunya<\/strong>, en concret, \u00e9s la imatge de la proposta per a la ciutat de Barcelona.<\/p>\n

L’acad\u00e8mica ha contribu\u00eft de manera crucial al desenvolupament de la teoria de nombres en la matem\u00e0tica espanyola. Va comen\u00e7ar els seus estudis de matem\u00e0tiques en una \u00e8poca en qu\u00e8 per a les dones no era gens f\u00e0cil iniciar una carrera cient\u00edfica, i va ser l’\u00fanica dona de la seva promoci\u00f3 a prosseguir amb els estudis de doctorat. Va realitzar la seva tesi doctoral sobre aritm\u00e8tica de cossos de nombres, que va defensar el 1975, i es va convertir aix\u00ed en la segona dona a obtenir un doctorat en matem\u00e0tiques per la Universitat de Barcelona. Va treballar quatre anys com a postdoctorada a la Universitat de Ratisbona<\/strong> (Alemanya), ha publicat 30 articles de recerca en revistes del m\u00e9s alt nivell (“Inventions Math.”<\/strong>, “J. Reine Angew Math.”<\/strong> o “Math. Ann.”<\/strong>) i \u00e9s autora o editora de 19 llibres, aix\u00ed com de diversos treballs de divulgaci\u00f3. Bayer \u00e9s aix\u00ed mateix acad\u00e8mica numer\u00e0ria de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona i de la Reial Acad\u00e8mia de Ci\u00e8ncies Exactes, F\u00edsiques i Naturals<\/strong> i ha obtingut la Medalla Narc\u00eds Monturiol<\/strong> al m\u00e8rit cient\u00edfic i tecnol\u00f2gic, entre d’altres. Ha dirigit 15 tesis doctorals, totes de temes diferents, cosa que ha enriquit enormement un grup que actualment compta amb alguns dels majors especialistes en teoria de nombres.<\/p>\n

Per la seva banda, la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona es va constituir el 1764 com a societat liter\u00e0ria privada sota el nom de Confer\u00e8ncia Physycomatem\u00e0tica Experimental<\/strong> i, en virtut de la reial c\u00e8dula del 17 de desembre del 1765, va passar a Reial Confer\u00e8ncia F\u00edsica<\/strong> com a cos p\u00fablic consultiu del rei per a assumptes de Catalunya. El 1770 canviaria el t\u00edtol pel Reial Acad\u00e8mia de Ci\u00e8ncies Naturals i Arts de Barcelona<\/strong> fins que la reial ordre del 7 de desembre de 1887 va determinar el nom actual. En aquests dos segles i mig de vida, la instituci\u00f3 ha treballat per a la divulgaci\u00f3 dels coneixements cient\u00edfics i tecnol\u00f2gics a la ciutat i t\u00e9 a l’Observatori Fabra<\/strong>, fundat el 1904 com a observatori astron\u00f2mic, meteorol\u00f2gic i s\u00edsmic, un dels seus principals signes d’identitat. L’any 2018 l’Organitzaci\u00f3 Meteorol\u00f2gica Mundial<\/strong> ho va recon\u00e8ixer com a estaci\u00f3 meteorol\u00f2gica centen\u00e0ria d’observaci\u00f3 a llarg termini.<\/p>\n

Por su parte, la Real Academia de Ciencias y Artes de Barcelona se constituy\u00f3 en 1764 como sociedad literaria privada bajo el nombre de Conferencia Physycomatem\u00e1tica Experimental<\/strong> y, en virtud de la Real C\u00e9dula del 17 de diciembre de 1765, pas\u00f3 a Real Conferencia F\u00edsica<\/strong> como cuerpo p\u00fablico consultivo del rey para asuntos de Catalu\u00f1a. En 1770 cambiar\u00eda su t\u00edtulo por el de Real Academia de Ciencias Naturales y Artes de Barcelona<\/strong> hasta que la Real Orden del 7 de diciembre de 1887 determin\u00f3 el nombre actual. En estos dos siglos y medio de vida, la instituci\u00f3n ha trabajado para la divulgaci\u00f3n de los conocimientos cient\u00edficos y tecnol\u00f3gicos en la ciudad y tiene en el Observatorio Fabra<\/strong>, fundado en 1904 como observatorio astron\u00f3mico, meteorol\u00f3gico y s\u00edsmico, uno de sus principales signos de identidad. En el a\u00f1o 2018 la Organizaci\u00f3n Meteorol\u00f3gica Mundial<\/strong> lo reconoci\u00f3 como estaci\u00f3n meteorol\u00f3gica centenaria de observaci\u00f3n a largo plazo.<\/p>\n","protected":false},"excerpt":{"rendered":"

Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona, \u200b\u200bque va portar per t\u00edtol “Equacions diof\u00e0ntiques: la recerca de les lleis que regeixen els noms”<\/p>\n","protected":false},"author":12,"featured_media":154292,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[176,301],"tags":[],"class_list":["post-154180","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-academics-a-la-societat","category-matematiques","et-has-post-format-content","et_post_format-et-post-format-standard"],"yoast_head":"\nDe la funci\u00f3 tau a les equacions diof\u00e0ntiques - Reial Acad\u00e8mia Europea de Doctors<\/title>\n<meta name=\"description\" content=\"Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/\" \/>\n<meta property=\"og:locale\" content=\"ca_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"De la funci\u00f3 tau a les equacions diof\u00e0ntiques - Reial Acad\u00e8mia Europea de Doctors\" \/>\n<meta property=\"og:description\" content=\"Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona\" \/>\n<meta property=\"og:url\" content=\"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/\" \/>\n<meta property=\"og:site_name\" content=\"Reial Acad\u00e8mia Europea de Doctors\" \/>\n<meta property=\"article:publisher\" content=\"http:\/\/fb.me\/raed.academy\" \/>\n<meta property=\"article:published_time\" content=\"2024-10-25T10:36:32+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-10-25T10:37:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/raed.academy\/wp-content\/uploads\/2024\/10\/Pilar-Bayer-Isant.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"600\" \/>\n\t<meta property=\"og:image:height\" content=\"360\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"RAED\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@raedacademy\" \/>\n<meta name=\"twitter:site\" content=\"@raedacademy\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"RAED\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/\"},\"author\":{\"name\":\"RAED\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#\\\/schema\\\/person\\\/5a755da80d1d979fd66ba745c8702927\"},\"headline\":\"De la funci\u00f3 tau a les equacions diof\u00e0ntiques\",\"datePublished\":\"2024-10-25T10:36:32+00:00\",\"dateModified\":\"2024-10-25T10:37:14+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/\"},\"wordCount\":1037,\"publisher\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/raed.academy\\\/wp-content\\\/uploads\\\/2024\\\/10\\\/Pilar-Bayer-Isant.webp\",\"articleSection\":[\"Acad\u00e8mics a la societat\",\"Matem\u00e0tiques\"],\"inLanguage\":\"ca-ES\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/\",\"url\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/\",\"name\":\"De la funci\u00f3 tau a les equacions diof\u00e0ntiques - Reial Acad\u00e8mia Europea de Doctors\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/raed.academy\\\/wp-content\\\/uploads\\\/2024\\\/10\\\/Pilar-Bayer-Isant.webp\",\"datePublished\":\"2024-10-25T10:36:32+00:00\",\"dateModified\":\"2024-10-25T10:37:14+00:00\",\"description\":\"Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#breadcrumb\"},\"inLanguage\":\"ca-ES\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ca-ES\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#primaryimage\",\"url\":\"https:\\\/\\\/raed.academy\\\/wp-content\\\/uploads\\\/2024\\\/10\\\/Pilar-Bayer-Isant.webp\",\"contentUrl\":\"https:\\\/\\\/raed.academy\\\/wp-content\\\/uploads\\\/2024\\\/10\\\/Pilar-Bayer-Isant.webp\",\"width\":600,\"height\":360},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/de-la-funcio-tau-a-les-equacions-diofantiques\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Inicio\",\"item\":\"https:\\\/\\\/raed.academy\\\/ca\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"De la funci\u00f3 tau a les equacions diof\u00e0ntiques\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#website\",\"url\":\"https:\\\/\\\/raed.academy\\\/ca\\\/\",\"name\":\"Reial Acad\u00e8mia Europea de Doctors\",\"description\":\"Corporaci\u00f3n de derecho p\u00fablico de car\u00e1cter cient\u00edfico, t\u00e9cnico y art\u00edstico, que tiene por objeto la investigaci\u00f3n, el estudio, el fomento y la extensi\u00f3n del conocimiento en su sentido m\u00e1s amplio\",\"publisher\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/raed.academy\\\/ca\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ca-ES\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#organization\",\"name\":\"Real Academia Europea de Doctores\",\"url\":\"https:\\\/\\\/raed.academy\\\/ca\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ca-ES\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/raed.academy\\\/wp-content\\\/uploads\\\/2017\\\/01\\\/cropped-logo_raed.png\",\"contentUrl\":\"https:\\\/\\\/raed.academy\\\/wp-content\\\/uploads\\\/2017\\\/01\\\/cropped-logo_raed.png\",\"width\":512,\"height\":512,\"caption\":\"Real Academia Europea de Doctores\"},\"image\":{\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"http:\\\/\\\/fb.me\\\/raed.academy\",\"https:\\\/\\\/x.com\\\/raedacademy\",\"https:\\\/\\\/www.instagram.com\\\/raed.academy\\\/\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UCUYQwW2KrdirNWihxMDObwg\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/raed.academy\\\/ca\\\/#\\\/schema\\\/person\\\/5a755da80d1d979fd66ba745c8702927\",\"name\":\"RAED\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ca-ES\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/19fdfdc0d67fb9c45714b703a2ac82251c4fcea3637f002ac3c9b74c0183583c?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/19fdfdc0d67fb9c45714b703a2ac82251c4fcea3637f002ac3c9b74c0183583c?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/19fdfdc0d67fb9c45714b703a2ac82251c4fcea3637f002ac3c9b74c0183583c?s=96&d=mm&r=g\",\"caption\":\"RAED\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"De la funci\u00f3 tau a les equacions diof\u00e0ntiques - Reial Acad\u00e8mia Europea de Doctors","description":"Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/","og_locale":"ca_ES","og_type":"article","og_title":"De la funci\u00f3 tau a les equacions diof\u00e0ntiques - Reial Acad\u00e8mia Europea de Doctors","og_description":"Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona","og_url":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/","og_site_name":"Reial Acad\u00e8mia Europea de Doctors","article_publisher":"http:\/\/fb.me\/raed.academy","article_published_time":"2024-10-25T10:36:32+00:00","article_modified_time":"2024-10-25T10:37:14+00:00","og_image":[{"width":600,"height":360,"url":"https:\/\/raed.academy\/wp-content\/uploads\/2024\/10\/Pilar-Bayer-Isant.webp","type":"image\/webp"}],"author":"RAED","twitter_card":"summary_large_image","twitter_creator":"@raedacademy","twitter_site":"@raedacademy","twitter_misc":{"Written by":"RAED","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#article","isPartOf":{"@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/"},"author":{"name":"RAED","@id":"https:\/\/raed.academy\/ca\/#\/schema\/person\/5a755da80d1d979fd66ba745c8702927"},"headline":"De la funci\u00f3 tau a les equacions diof\u00e0ntiques","datePublished":"2024-10-25T10:36:32+00:00","dateModified":"2024-10-25T10:37:14+00:00","mainEntityOfPage":{"@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/"},"wordCount":1037,"publisher":{"@id":"https:\/\/raed.academy\/ca\/#organization"},"image":{"@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#primaryimage"},"thumbnailUrl":"https:\/\/raed.academy\/wp-content\/uploads\/2024\/10\/Pilar-Bayer-Isant.webp","articleSection":["Acad\u00e8mics a la societat","Matem\u00e0tiques"],"inLanguage":"ca-ES"},{"@type":"WebPage","@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/","url":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/","name":"De la funci\u00f3 tau a les equacions diof\u00e0ntiques - Reial Acad\u00e8mia Europea de Doctors","isPartOf":{"@id":"https:\/\/raed.academy\/ca\/#website"},"primaryImageOfPage":{"@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#primaryimage"},"image":{"@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#primaryimage"},"thumbnailUrl":"https:\/\/raed.academy\/wp-content\/uploads\/2024\/10\/Pilar-Bayer-Isant.webp","datePublished":"2024-10-25T10:36:32+00:00","dateModified":"2024-10-25T10:37:14+00:00","description":"Pilar Bayer pronuncia la confer\u00e8ncia inaugural del curs acad\u00e8mic 2024-2025 de la Reial Acad\u00e8mia de Ci\u00e8ncies i Arts de Barcelona","breadcrumb":{"@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#breadcrumb"},"inLanguage":"ca-ES","potentialAction":[{"@type":"ReadAction","target":["https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/"]}]},{"@type":"ImageObject","inLanguage":"ca-ES","@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#primaryimage","url":"https:\/\/raed.academy\/wp-content\/uploads\/2024\/10\/Pilar-Bayer-Isant.webp","contentUrl":"https:\/\/raed.academy\/wp-content\/uploads\/2024\/10\/Pilar-Bayer-Isant.webp","width":600,"height":360},{"@type":"BreadcrumbList","@id":"https:\/\/raed.academy\/ca\/de-la-funcio-tau-a-les-equacions-diofantiques\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Inicio","item":"https:\/\/raed.academy\/ca\/"},{"@type":"ListItem","position":2,"name":"De la funci\u00f3 tau a les equacions diof\u00e0ntiques"}]},{"@type":"WebSite","@id":"https:\/\/raed.academy\/ca\/#website","url":"https:\/\/raed.academy\/ca\/","name":"Reial Acad\u00e8mia Europea de Doctors","description":"Corporaci\u00f3n de derecho p\u00fablico de car\u00e1cter cient\u00edfico, t\u00e9cnico y art\u00edstico, que tiene por objeto la investigaci\u00f3n, el estudio, el fomento y la extensi\u00f3n del conocimiento en su sentido m\u00e1s amplio","publisher":{"@id":"https:\/\/raed.academy\/ca\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/raed.academy\/ca\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ca-ES"},{"@type":"Organization","@id":"https:\/\/raed.academy\/ca\/#organization","name":"Real Academia Europea de Doctores","url":"https:\/\/raed.academy\/ca\/","logo":{"@type":"ImageObject","inLanguage":"ca-ES","@id":"https:\/\/raed.academy\/ca\/#\/schema\/logo\/image\/","url":"https:\/\/raed.academy\/wp-content\/uploads\/2017\/01\/cropped-logo_raed.png","contentUrl":"https:\/\/raed.academy\/wp-content\/uploads\/2017\/01\/cropped-logo_raed.png","width":512,"height":512,"caption":"Real Academia Europea de Doctores"},"image":{"@id":"https:\/\/raed.academy\/ca\/#\/schema\/logo\/image\/"},"sameAs":["http:\/\/fb.me\/raed.academy","https:\/\/x.com\/raedacademy","https:\/\/www.instagram.com\/raed.academy\/","https:\/\/www.youtube.com\/channel\/UCUYQwW2KrdirNWihxMDObwg"]},{"@type":"Person","@id":"https:\/\/raed.academy\/ca\/#\/schema\/person\/5a755da80d1d979fd66ba745c8702927","name":"RAED","image":{"@type":"ImageObject","inLanguage":"ca-ES","@id":"https:\/\/secure.gravatar.com\/avatar\/19fdfdc0d67fb9c45714b703a2ac82251c4fcea3637f002ac3c9b74c0183583c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/19fdfdc0d67fb9c45714b703a2ac82251c4fcea3637f002ac3c9b74c0183583c?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/19fdfdc0d67fb9c45714b703a2ac82251c4fcea3637f002ac3c9b74c0183583c?s=96&d=mm&r=g","caption":"RAED"}}]}},"_links":{"self":[{"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/posts\/154180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/comments?post=154180"}],"version-history":[{"count":0,"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/posts\/154180\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/media\/154292"}],"wp:attachment":[{"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/media?parent=154180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/categories?post=154180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/raed.academy\/ca\/wp-json\/wp\/v2\/tags?post=154180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}