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Filtering by: Creator Corwith, Holly L. Remove constraint Creator: Corwith, Holly L. Degree Name Doctor of Philosophy (Ph.D.) Remove constraint Degree Name: Doctor of Philosophy (Ph.D.)

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  • Anatomy and pathology of leaf spots on English holly, Ilex aquifolium (Tourn.) L

    Creator:
    Herridge, Elizabeth Anne
    Resource Type:
    Dissertation
    Full Text:
    aquifolium (Tourn.) L. ANATOMY AND PATHOLOGY OF LEAF SPOTS ON ENGLISH HOLLY, ILEX AQUIFOLIUM (TOURN.) L

  • On the Remaining Cases of the Kang Park Conjecture in Partition Theory

    Creator:
    Sturman, Leah
    Abstract:
    In 1956, Alder conjectured an integer partition inequality which generalized Euler’s partition identity, the first Rogers-Ramanujan identity, and a partition identity of Schur. Alder’s conjecture, proved in part by Andrews in 1971, followed by Yee in 2008, and finally completed by Alfes, Jameson, and Lemke Oliver in 2010 states that...
    Resource Type:
    Dissertation
    Full Text:
    Remaining Cases of the Kang Park Conjecture in Partition Theory Abstract approved: Holly Swisher In 1956

  • Establishing Several Infinite Families of Mock and Quantum Modular Forms

    Creator:
    Arnold-Roksandich, Allison F.
    Abstract:
    In 2013, Lemke Oliver created a list of all eta-quotients which are theta functions. Then in 2016, Folsom, Garthwaite, Kang, Swisher, and Treneer utilized this list of ``eta-theta'' functions along with Zwegers's construction of mock theta functions to create a set of mock modular forms which are also quantum modular...
    Resource Type:
    Dissertation
    Full Text:
    approved: Holly M. Swisher In 2013, Lemke Oliver created a list of all eta-quotients which are theta

  • Zeros of Replicable Functions

    Creator:
    Toomey, Benjamin J.
    Abstract:
    Following the work of Asai, Kaneko, and Ninomiya for Faber polynomials associated to the modular group, and Bannai, Kojima, and Miezaki's partial proof for the case of the Fricke group of level 2, we show that the zeros of certain modular functions for some low-level genus zero groups associated to...
    Resource Type:
    Dissertation
    Full Text:
    : Zeros of Replicable Functions Abstract approved: Holly M. Swisher Following the work of Asai, Kaneko

  • Existence of Eta-Quotients for Squarefree Levels and Modular Type Supercongruences for Hypergeometric Functions

    Creator:
    Allen, Michael
    Abstract:
    In this dissertation, we consider two problems in number theory, both relating to modular forms. First we consider when a given modular form can be expressed as a quotient in Dedekind's $\eta$ function. Rouse and Webb \cite{RW} have determined the integers $N \leq 500$ such that the graded ring of...
    Resource Type:
    Dissertation
    Full Text:
    Functions Abstract approved: Holly Swisher In this dissertation, we consider two problems in number

  • Conceiving A Colony: A Multi-Level Biocultural Analysis of the Maternal Stress-Preterm Birth Nexus in Puerto Rico

    Creator:
    Horan, Holly L.
    Abstract:
    This dissertation aims to elicit how a neo-colonial context shapes maternal and infant heath (MIH) outcomes by describing how they are socially, politically, historically, and culturally produced. Using a multi-level critical biocultural, medical anthropological research approach, the purpose of this research was to investigate maternal stress in the United States...
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE DISSERTATION OF Holly L. Horan

  • Macro Stories: Policy Process Dynamics of Presidential Environmental Ideas

    Creator:
    Peterson, Holly L.
    Abstract:
    Public policy narratives and stories are often referenced by the media, politicians, advocacy groups, and across many disciplines in academia. Studies of social and political narratives support the notion narrative matters, but often lack systematic design capable of producing generalizable findings. The Narrative Policy Framework (NPF) has responded to this...
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE DISSERTATION OF Holly L. Peterson for the degree of Doctor of Philosophy in

  • Zeros of Certain Combinations of Products of Eisenstein Series

    Creator:
    Klangwang, Jetjaroen
    Abstract:
    In this dissertation, we begin by presenting the result of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of the Eisenstein series for the full modular group in the standard fundamental domain. Their simple but beautiful argument shows that all zeros are located on the lower...
    Resource Type:
    Dissertation
    Full Text:
    Certain Combinations of Products of Eisenstein Series Abstract approved: Holly M. Swisher In this

  • Periodicity and Partition Congruences

    Creator:
    Al-Saedi, Ali Hammood
    Abstract:
    In this note, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique could be a useful tool to prove congruences for certain types of combinatorial...
    Resource Type:
    Dissertation
    Full Text:
    Partition Congruences Abstract approved: Holly M. Swisher In this note, we generalize recent work of

  • Overpartition Ranks, Cranks, and Frobenius Representations

    Creator:
    Morrill, Thomas
    Abstract:
    We generalize overpartition rank and crank generating functions to obtain k-fold variants, and give a combinatorial interpretation for each. The k-fold crank generating function is interpreted by extending the first and second residual cranks to a natural infinite family. The k-fold rank generating functions generate two families of buffered Frobenius...
    Resource Type:
    Dissertation
    Full Text:
    , Cranks, and Frobenius Representations Abstract approved: Holly M. Swisher We generalize overpartition