English

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

Number Theory 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0505016,
  title  = {Arthur's Periods, Regularized Integrals and Refined Structures of Non-Abelian L-Functions},
  author = {Lin Weng},
  journal= {arXiv preprint arXiv:math/0505016},
  year   = {2007}
}

Comments

Long but Ready to be Understood