{"id":136754,"date":"2026-01-12T17:00:09","date_gmt":"2026-01-12T17:00:09","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sumas-trigonometricas-multiples-condicionadas\/"},"modified":"2026-01-12T17:00:09","modified_gmt":"2026-01-12T17:00:09","slug":"sumas-trigonometricas-multiples-condicionadas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sumas-trigonometricas-multiples-condicionadas\/","title":{"rendered":"Sumas trigonometricas multiples condicionadas"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Velasco Camara M. Jos\u00e9 De <\/strong><\/h2>\n<p>La variante p-adica del metodo de sumas trigonometricas de i.M. Vinogradov es aplicada aqui, en primer lugar para la obtencion de una acotacion de la suma trigonometrica multiple con las variables condicionadas a pertenecer a un hiperelipsoide. Esta acotacion permite obtener una expresion asintotica de la integral de vinogradov multiple y en definitiva, hallar una expresion asintotica para el numero de soluciones de un sistema de ecuaciones diofanticas incompleto, con las variables en las mismas condiciones que en la suma multiple.  posteriormente se estudia el problema de la obtencion de estimaciones no triviales para sumas trigonometricas multiples bajo la condicion de que las variables de sumacion esten sobre una hipersuperficie, en este caso determinada por: x  +&#8230;+X  &#8211; n =0.  como aplicacion se estudia la distribucion de las partes fraccionarias de una funcion f(x1,&#8230;,Xr) donde las varialbes recorren los puntos enteros de dicha curva.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sumas trigonometricas multiples condicionadas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sumas trigonometricas multiples condicionadas <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Velasco Camara M. Jos\u00e9 De <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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>Catalina Calderon Garcia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Manuel Valdivia Ure\u00f1a <\/li>\n<li>Pilar Bayer Isant (vocal)<\/li>\n<li> Peral Alonso Juan  Carlos (vocal)<\/li>\n<li> Garay De Pablo Jos\u00e9 (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Velasco Camara M. Jos\u00e9 De La variante p-adica del metodo de sumas trigonometricas de i.M. Vinogradov es [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[126,12909,29903,14513,14514],"tags":[109613,28645,6820,109132,11720,251209],"class_list":["post-136754","post","type-post","status-publish","format-standard","hentry","category-matematicas","category-pais-vasco-euskal-herriko-unibertsitatea","category-teoria-algebraica-de-los-numeros","category-teoria-analitica-de-los-numeros","category-teoria-de-los-numeros","tag-catalina-calderon-garcia","tag-garay-de-pablo-jose","tag-manuel-valdivia-urena","tag-peral-alonso-juan-carlos","tag-pilar-bayer-isant","tag-velasco-camara-m-jose-de"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/136754","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=136754"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/136754\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=136754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=136754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=136754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}