Establishing Several Infinite Families of Mock and Quantum Modular Forms

Graduate Thesis Or Dissertation

公开 Deposited

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

Descriptions

Attribute Name	Values
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 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.
License	All rights reserved
Resource Type	Dissertation
Date Issued	2019-05-30
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2020
Advisor	Swisher, Holly
Committee Member	Faridani, Adel Kong, Wei Bogley, Bill Schmidt, Tom
Academic Affiliation	Mathematics
权利声明	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]

Parents:

This work has no parents.

属于 Collection:

缩略图	标题	上传日期	公开度	行动
	Arnold-RoksandichAllisonF2019.pdf	2019-06-19	公开	下载