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

      Alharbi, Nof Turki S
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      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
      Permanent Research Commons link: https://hdl.handle.net/10289/8692
      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.
      Date
      2014
      Type
      Thesis
      Degree Name
      Master of Science (MSc)
      Supervisors
      Delbourgo, Daniel
      Publisher
      University of Waikato
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      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.
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