Absolute Convergence of the Twisted Arthur-Selberg Trace Formula
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 Mueller, spectral side) to the twisted setting. We also give an application towards finiteness of residues of certain Rankin-Selberg L-functions.
Degree
Ph.D.
Advisors
Shahidi, Purdue University.
Subject Area
Mathematics
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