Date of Award
8-2018
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
Committee Chair
Freydoon Shahidi
Committee Member 1
Tong Liu
Committee Member 2
Chung-Pang Mok
Abstract
We show that the distributions occurring in the geometric and spectral side of the twisted Arthur-Selberg trace formula extend to non-compactly supported test functions. The geometric assertion is modulo a hypothesis on root systems proven among other cases, when the group is split. The result extends the work of Finis-Lapid (and M¨uller, spectral side) to the twisted setting. We also give an application towards finiteness of residues of certain Rankin-Selberg L-functions.
Recommended Citation
Parab, Abishek, "Absolute Convergence of the Twisted Arthur-Selberg Trace Formula" (2018). Open Access Dissertations. 2040.
https://docs.lib.purdue.edu/open_access_dissertations/2040