The Rankin-Selberg method for automorphic distributions
摘要
This paper describes our method of pairing automorphic distributions. This represents a third technique for obtaining the analytic properties of automorphic L-functions, in addition to the existing methods of integral representations (Rankin-Selberg) and Fourier coefficients of Eisenstein series (Langlands-Shahidi). We recently used this technique to establish new cases of the full analytic continuation of the exterior square L-functions. The paper here gives an exposition of our method in two special, yet representative cases: the Rankin-Selberg tensor product L-functions for PGL(2,Z), as well as for the exterior square L-functions for GL (4,Z).
引用
@article{arxiv.math/0605783,
title = {The Rankin-Selberg method for automorphic distributions},
author = {Stephen D. Miller and Wilfried Schmid},
journal= {arXiv preprint arXiv:math/0605783},
year = {2007}
}
备注
38 pages, to appear in "Representation Theory and Automorphic Forms", Procedings of an International Symposium at Seoul National University, February 2005, Toshiyuki Kobayashi, Wilfried Schmid, and Jae-Hyun Yang, editors, Birkhauser, Boston