Frank W. K. Firk

  1. From Nuclear Reactions to High-Frequency Trading: an R-function Approach.

    Authors: Frank W. K. Firk
    Subjects: General Finance
    Abstract

    The R-function theory of Thomas is used to model neutron inelastic scattering
    and the fine, intermediate, and gross structure observed in the Dow Jones
    Industrial Average on a typical trading day.

  2. Nuclei, Primes and the Random Matrix Connection.

    Authors: Frank W. K. Firk, Steven J. Miller
    Subjects: Number Theory
    Abstract

    In this article, we discuss the remarkable connection between two very
    different fields, number theory and nuclear physics. We describe the essential
    aspects of these fields, the quantities studied, and how insights in one have
    been fruitfully applied in the other. The exciting branch of modern
    mathematics, random matrix theory, provides the connection between the two
    fields.

  3. A proof of the Gregory-Leibniz series and new series for calculating pi.

    Authors: Frank W. K. Firk
    Subjects: History and Overview
    Abstract

    A non-traditional proof of the Gregory-Leibniz series, based on the
    relationships among the zeta function, Bernoulli coefficients, and the Laurent
    expansion of the cotangent is given. New series for calculating pi are
    obtained.

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