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dc.contributor.advisorTakeda, Shuichiroeng
dc.contributor.authorEmory, Melissaeng
dc.date.issued2018eng
dc.date.submitted2018 Springeng
dc.descriptionDr. Shuichiro Takeda, Dissertation Supervisor.eng
dc.descriptionIncludes vita.eng
dc.descriptionField of Study: Mathematics.eng
dc.description"May 2018."eng
dc.description.abstractIn the 1990s, Benedict Gross and Dipendra Prasad formulated an intriguing conjecture connected with restriction laws for automorphic representations of a particular group. More recently, Gan, Gross, and Prasad extended this conjecture, now known as the Gan-Gross-Prasad Conjecture, to the remaining classical groups. Roughly speaking, they conjectured the non-vanishing of a certain period integral is equivalent to the non-vanishing of the central value of a certain L- function. Ichino and Ikeda refined the conjecture to give an explicit relationship between this central value of a L-function and the period integral. We propose a similar conjecture for a nonclassical group, the general spin group, and prove one case.eng
dc.description.bibrefIncludes bibliographical references (pages 61-64).eng
dc.format.extent1 online resource (vi, 65 pages) : illustrationseng
dc.identifier.merlinb126392092eng
dc.identifier.oclc1065525364eng
dc.identifier.urihttps://hdl.handle.net/10355/66038
dc.identifier.urihttps://doi.org/10.32469/10355/66038eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.eng
dc.titleOn the global Gan-Gross-Prasad conjecture for general spin groupseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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