{"id":{"repo_id":"umn","oai_identifier":"oai:conservancy.umn.edu:11299/174859"},"canonical_url":"https://search.dev.ndltd.org/etd/umn/oai:conservancy.umn.edu:11299/174859","repository":{"repo_id":"umn","name":"University of Minnesota","base_url":"https://conservancy.umn.edu/server/oai/request"},"display":{"title":"Boundary Value Problems Of Spaces Of Automorphic Forms","abstract":"We apply some ideas of Bombieri and Garrett to construct natural self-adjoint operators on spaces of automorphic forms whose only possible discrete spectrum is λ s = s(s − 1) for s in a subset of on-line zeros of an L-function, appearing as a compact period of cuspidal-data Eisenstein series on GL 4 . These ideas have their origins in re- sults of Hejhal and Colin de Verdi ́ere. In parallel with the GL(2) case, the corresponding pair-correlation and triple-correlation results limit the fraction of on-the-line zeros that can appear in this fashion.","abstract_html":"We apply some ideas of Bombieri and Garrett to construct natural self-adjoint operators on spaces of automorphic forms whose only possible discrete spectrum is λ s = s(s − 1) for s in a subset of on-line zeros of an L-function, appearing as a compact period of cuspidal-data Eisenstein series on GL 4 . These ideas have their origins in re- sults of Hejhal and Colin de Verdi ́ere. In parallel with the GL(2) case, the corresponding pair-correlation and triple-correlation results limit the fraction of on-the-line zeros that can appear in this fashion.","abstract_has_math":false,"creators":["Ali, Adil"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-05","date_published":"2015-05","updated_at":"2026-07-24T05:20:05Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11299/174859","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ali, Adil"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2015-10-13T18:53:50Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2015-10-13T18:53:50Z"]},{"key":"dc:date.issued","label":"Date","values":["2015-05"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11299/174859"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["University of Minnesota Ph.D. dissertation. May 2015. Major: Mathematics. Advisors: Paul Garrett, Benjamin Brubaker. 1 computer file (PDF); ii, 81 pages."]},{"key":"dc:description.abstract","label":"Abstract","values":["We apply some ideas of Bombieri and Garrett to construct natural self-adjoint operators on spaces of automorphic forms whose only possible discrete spectrum is λ s = s(s − 1) for s in a subset of on-line zeros of an L-function, appearing as a compact period of cuspidal-data Eisenstein series on GL 4 . These ideas have their origins in re- sults of Hejhal and Colin de Verdi ́ere. In parallel with the GL(2) case, the corresponding pair-correlation and triple-correlation results limit the fraction of on-the-line zeros that can appear in this fashion."]},{"key":"dc:title","label":"Title","values":["Boundary Value Problems Of Spaces Of Automorphic Forms"]}]}],"canonical_facts":{"dc:creator":["Ali, Adil"],"dc:date.accessioned":["2015-10-13T18:53:50Z"],"dc:date.available":["2015-10-13T18:53:50Z"],"dc:date.issued":["2015-05"],"dc:description":["University of Minnesota Ph.D. dissertation. May 2015. Major: Mathematics. Advisors: Paul Garrett, Benjamin Brubaker. 1 computer file (PDF); ii, 81 pages."],"dc:description.abstract":["We apply some ideas of Bombieri and Garrett to construct natural self-adjoint operators on spaces of automorphic forms whose only possible discrete spectrum is λ s = s(s − 1) for s in a subset of on-line zeros of an L-function, appearing as a compact period of cuspidal-data Eisenstein series on GL 4 . These ideas have their origins in re- sults of Hejhal and Colin de Verdi ́ere. In parallel with the GL(2) case, the corresponding pair-correlation and triple-correlation results limit the fraction of on-the-line zeros that can appear in this fashion."],"dc:identifier.uri":["http://hdl.handle.net/11299/174859"],"dc:language.iso":["en"],"dc:title":["Boundary Value Problems Of Spaces Of Automorphic Forms"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:20:05Z"}