On the residue method for period integrals
Number Theory
2019-03-11 v2 Representation Theory
Abstract
By applying the residue method for period integrals and Langlands-Shahidi's theory for residues of Eisenstein series, we study the period integrals for six spherical varieties. For each spherical variety, we prove a relation between the period integrals and certain automorphic L-functions. In some cases, we also study the local multiplicity of the spherical varieties.
Cite
@article{arxiv.1903.02544,
title = {On the residue method for period integrals},
author = {Aaron Pollack and Chen Wan and Michał Zydor},
journal= {arXiv preprint arXiv:1903.02544},
year = {2019}
}
Comments
References to the work of Getz-Wambach and Ichino-Prasanna added. 42 pages