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dc.contributor.authorWilson, Kathryn
dc.date.accessioned2025-04-15T21:04:55Z
dc.date.available2025-04-15T21:04:55Z
dc.date.graduationmonthMay
dc.date.issued2025
dc.description.abstractThis dissertation will cover three results. Each result has a connection to Waring's problem and the circle method. Throughout, let p be prime, and let n, k and s be positive integers . . . See PDF file for full abstract.
dc.description.advisorCraig Spencer
dc.description.degreeDoctor of Philosophy
dc.description.departmentDepartment of Mathematics
dc.description.levelDoctoral
dc.identifier.urihttps://hdl.handle.net/2097/44931
dc.language.isoen_US
dc.subjectWaring number
dc.subjectDiophantine inequalities
dc.subjectHardy-Littlewood circle method
dc.subjectFunction fields
dc.subjectCongruences
dc.subjectDavenport-Heilbronn method
dc.titleCounting solutions to diagonal congruences and Diophantine inequalities
dc.typeDissertation

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