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Arthur's Periods, Regularized Integrals and Refined Structures of Non-Abelian L-Functions

Lin Weng
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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.

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Lin Weng. 2005-05-02. Arthur's Periods, Regularized Integrals and Refined Structures of Non-Abelian L-Functions. https://arxiv.org/abs/math/0505016

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