Computational aspects of Bianchi modular forms

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Kalani Thalagoda (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site:
Dan Yasaki

Abstract: Bianchi modular forms are a generalization of classical modular forms to imaginary quadratic fields. The study of computational aspects of Bianchi modular forms started in the 1980s by Elstrodt, Grunewald, and Mennicke. John Cremona and several of his students made notable contributions to developing theory for computing Bianchi modular forms. This thesis extends their work by providing algorithms for computing Bianchi modular forms over imaginary quadratic fields with general class groups. We also provide results, including dimension tables, of the implementation for the imaginary quadratic field Q(v-17). [This abstract may have been edited to remove characters that will not display in this system. Please see the PDF for the full abstract.]

Additional Information

Language: English
Date: 2023
Bianchi Modular Forms, Modular Forms
Bianchi groups
Forms, Modular

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