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Finding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically
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.
Type
Thesis
Type of thesis
Series
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
Date
2014
Publisher
University of Waikato
Degree
Supervisors
Rights
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