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dc.contributor.advisorDelbourgo, Daniel
dc.contributor.authorAlharbi, Nof Turki S
dc.date.accessioned2014-08-01T02:11:32Z
dc.date.available2014-08-01T02:11:32Z
dc.date.issued2014
dc.identifier.citationAlharbi, N. T. S. (2014). Finding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically (Thesis, Master of Science (MSc)). University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/8692en
dc.identifier.urihttps://hdl.handle.net/10289/8692
dc.description.abstractWe first establish why the p-adic zeta function has a Dirichlet series expansion. We then compute an improved expansion, which allows us to express it as a power-series modulo pⁿ. Using this expansion, we compute all the zeros of L₋p(s, χωʲ) for those quadratic characters χ of conductor < 200.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherUniversity of Waikato
dc.rightsAll items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectzeroes of p-adic L-function
dc.titleFinding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically
dc.typeThesis
thesis.degree.grantorUniversity of Waikato
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (MSc)
dc.date.updated2014-03-12T00:31:52Z
pubs.place-of-publicationHamilton, New Zealanden_NZ


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