Graduate Thesis Or Dissertation

 

Establishing Several Infinite Families of Mock and Quantum Modular Forms Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rf55zf40b

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  • 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 forms. Later in 2016, Diaz, Ellefsen, and Swisher generalized a subset of these quantum modular forms to a single general form of quantum modular forms which included the every element of this subset. This talk will discuss an extended generalization to a larger general form which encompasses all functions made by Folsom et al. as well as showing that all of these generalized quantum modular forms are also mock modular forms.
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