Patrick S. Fleming

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We consider a certain finite group for which Kloosterman sums appear as character values. This leads us to consider a concrete family of commuting hermitian matrices which have Kloosterman sums as eigenvalues. These matrices satisfy a number of “magical” combinatorial properties and they encode various arithmetic properties of Kloosterman sums. These(More)
Endodontic retreatment is less successful than conventional root treatment. Factors governing this include difficulty in accessing the root canal system in retreatment cases, problems in negotiating a highly resistant microflora and unfavourable anatomy. However, despite these mitigating factors success is still a realistic goal in the majority of cases.
The theory of supercharacters, which generalizes classical character theory, was recently introduced by P. Diaconis and I.M. Isaacs, building upon earlier work of C. André. We study supercharacter theories on (Z/nZ)d induced by the actions of certain matrix groups, demonstrating that a variety of exponential sums of interest in number theory (e.g., Gauss,(More)
Endodontic retreatment has been proven less effective than conventional root treatment. Factors dictating this include difficulty in accessing the root canal system in retreatment cases, problems in negotiating a highly resistant micro flora and unfavourable anatomy. Patients should, therefore, be counselled on the possibility of failure necessitating(More)
Regression is an often used, general means of time series forecasting. Flow field (FF) forecasting formalizes this approach, explicitly emphasizing both the chosen form of regression and the choice of predictors. FF forecasting has been previously implemented on univariate time series using Gaussian process regression. This paper addresses the practically(More)
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