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Filtering by: Committee Member Garity, Dennis J. Remove constraint Committee Member: Garity, Dennis J. Committee Member Swisher, Holly Remove constraint Committee Member: Swisher, Holly

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  • Mahler's order functions and algebraic approximation of p-adic numbers

    Creator:
    Dietel, Brian Christopher
    Abstract:
    If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] denote the completion of the algebraic closure of the p-adic...
    Resource Type:
    Dissertation
    Full Text:
    committee members, David Finch, Dennis Garity, Thomas Schmidt, Holly Swisher, and Todd Palmer. Personal I

  • Classifying seven dimensional manifolds of fixed cohomology type

    Creator:
    Montagantirud, Pongdate
    Abstract:
    Finding new examples of compact simply connected spaces admitting a Riemannian metric of positive sectional curvature is a fundamental problem in differential geometry. Likewise, studying topological properties of families of manifolds is very interesting to topologists. The Eschenburg spaces combine both of those interests: they are positively curved Riemannian manifolds...
    Resource Type:
    Dissertation
    Full Text:
    them. One year later, in 1982 J. H. Eschenburg [Esb82] was looking for further spaces of positive

  • A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

    Creator:
    Rockwell, Daniel Luke
    Abstract:
    The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
    Resource Type:
    Dissertation
    Full Text:
    following way: let #N(Bj, b, α) be the number of k, 1 ≤ k ≤ N − j + 1, such that ak+j−1 = bk for 1 ≤ k ≤ j