Finding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically

dc.contributor.advisor	Delbourgo, Daniel
dc.contributor.author	Alharbi, Nof Turki S
dc.date.accessioned	2014-08-01T02:11:32Z
dc.date.available	2014-08-01T02:11:32Z
dc.date.issued	2014
dc.date.updated	2014-03-12T00:31:52Z
dc.description.abstract	We 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.mimetype	application/pdf
dc.identifier.citation	Alharbi, 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/10289/8692	en
dc.identifier.uri	https://hdl.handle.net/10289/8692
dc.language.iso	en
dc.publisher	University of Waikato
dc.rights	All 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.subject	zeroes of p-adic L-function
dc.title	Finding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically
dc.type	Thesis
pubs.place-of-publication	Hamilton, New Zealand	en_NZ
thesis.degree.grantor	University of Waikato
thesis.degree.level	Masters
thesis.degree.name	Master of Science (MSc)