Date of Award
Doctor of Philosophy (PhD)
Committee Member 1
Committee Member 2
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.
Parab, Abishek, "Absolute Convergence of the Twisted Arthur-Selberg Trace Formula" (2018). Open Access Dissertations. 2040.