Arthur's Periods, Regularized Integrals and Refined Structures of Non-Abelian L-Functions
arXiv:math/0505016
Abstract
We first study geometrically oriented truncation associated with stability along the line of Arthur's analytic truncation. Then, we give a detailed discussion on the so-called Abelian Parts of non-abelian L functions, using an advanced version of Rankin-Selberg method. All this is based on Jacquet-Lapid-Rogawski's regularized integrals over cones. This is an integrated part of our Program for Geometric Arithmetic.
Long but Ready to be Understood