{"id":{"repo_id":"vilnius","oai_identifier":"oai:vu.lt:elaba:13947495"},"canonical_url":"https://search.dev.ndltd.org/etd/vilnius/oai:vu.lt:elaba:13947495","repository":{"repo_id":"vilnius","name":"Vilnius University","base_url":"https://epublications.vu.lt/oai"},"display":{"title":"\"Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions\" /","abstract":"The aims of the thesis are mixed joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler's product over primes and by shifts of Hurwitz type zeta-functions which have no the Euler product. The problems are the following: 1. A mixed joint universality theorem for Dirichlet L-functions and Hurwitz zeta-functions; 2. A mixed joint universality theorem of Dirichlet L-functions and periodic Hurwitz zeta-functions; 3. The universality of composite functions of a collection of Dirichlet L-functions and Hurwitz zeta-functions; 4. The universality of composite functions of a collection of Dirichlet L-functions and periodic Hurwitz zeta-functions.","abstract_html":"The aims of the thesis are mixed joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler&#x27;s product over primes and by shifts of Hurwitz type zeta-functions which have no the Euler product. The problems are the following: 1. A mixed joint universality theorem for Dirichlet L-functions and Hurwitz zeta-functions; 2. A mixed joint universality theorem of Dirichlet L-functions and periodic Hurwitz zeta-functions; 3. The universality of composite functions of a collection of Dirichlet L-functions and Hurwitz zeta-functions; 4. The universality of composite functions of a collection of Dirichlet L-functions and periodic Hurwitz zeta-functions.","abstract_has_math":false,"creators":["Janulis, Kęstutis,"],"institution":"Institutional Repository of Vilnius University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Laurinčikas, Antanas"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-24T05:55:44Z","subjects":["Mized joint universality ; Dirichlet L-functions ; Hurwitz type zeta-functions"],"languages":["eng"],"rights":["info:eu-repo/semantics/openAccess"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://repository.vu.lt/VU:ELABAETD13947495&prefLang=en_US","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Laurinčikas, Antanas"]},{"key":"dc:creator","label":"Author","values":["Janulis, Kęstutis,"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015"]},{"key":"dc:publisher","label":"Institution","values":["Institutional Repository of Vilnius University"]},{"key":"dc:relation","label":"Dc Relation","values":["https://epublications.vu.lt/object/elaba:13947495/13947495.pdf"]},{"key":"dc:type","label":"Dc Type","values":["info:eu-repo/semantics/doctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mized joint universality ; Dirichlet L-functions ; Hurwitz type zeta-functions"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["info:eu-repo/semantics/openAccess"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://repository.vu.lt/VU:ELABAETD13947495&prefLang=en_US"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The aims of the thesis are mixed joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler's product over primes and by shifts of Hurwitz type zeta-functions which have no the Euler product. The problems are the following: 1. A mixed joint universality theorem for Dirichlet L-functions and Hurwitz zeta-functions; 2. A mixed joint universality theorem of Dirichlet L-functions and periodic Hurwitz zeta-functions; 3. The universality of composite functions of a collection of Dirichlet L-functions and Hurwitz zeta-functions; 4. The universality of composite functions of a collection of Dirichlet L-functions and periodic Hurwitz zeta-functions."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["\"Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions\" /","\"Dirichlė L funkcijų ir Hurvico tipo dzeta funkcijų mišrus jungtinis universalumas\"."]}]}],"canonical_facts":{"dc:contributor":["Laurinčikas, Antanas"],"dc:creator":["Janulis, Kęstutis,"],"dc:date":["2015"],"dc:description":["The aims of the thesis are mixed joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler's product over primes and by shifts of Hurwitz type zeta-functions which have no the Euler product. The problems are the following: 1. A mixed joint universality theorem for Dirichlet L-functions and Hurwitz zeta-functions; 2. A mixed joint universality theorem of Dirichlet L-functions and periodic Hurwitz zeta-functions; 3. The universality of composite functions of a collection of Dirichlet L-functions and Hurwitz zeta-functions; 4. The universality of composite functions of a collection of Dirichlet L-functions and periodic Hurwitz zeta-functions."],"dc:format":["application/pdf"],"dc:identifier":["https://repository.vu.lt/VU:ELABAETD13947495&prefLang=en_US"],"dc:language":["eng"],"dc:publisher":["Institutional Repository of Vilnius University"],"dc:relation":["https://epublications.vu.lt/object/elaba:13947495/13947495.pdf"],"dc:rights":["info:eu-repo/semantics/openAccess"],"dc:subject":["Mized joint universality ; Dirichlet L-functions ; Hurwitz type zeta-functions"],"dc:title":["\"Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions\" /","\"Dirichlė L funkcijų ir Hurvico tipo dzeta funkcijų mišrus jungtinis universalumas\"."],"dc:type":["info:eu-repo/semantics/doctoralThesis"]},"updated_at":"2026-07-24T05:55:44Z"}