- Triple Product L-function
- Project Year:
2024
- REU Student (s):
Dmitriy Shvydkoy | University of Illinois at Urbana-Champaign IL
- Student 1 Institution:
University of Illinois at Urbana-Champaign
- Project Mentor:
Michael Woodbury
- Project Mentor Area:
Mathematics
- Project Abstract:
Triple product L-functions are of great interest in number theory and quantum physics. Trilinear forms have deep connections with these L-functions, and these forms are the main objects of study in this work. This project explored the relation between two separate trilinear forms of the group GL(2, K), for some finite field K. We first used Sage to gather a large amount of experimental computations of these trilinear forms for small values of q = |K|. Then using the computational results as insight, we proved these results for general q.
