Twisted linear periods and a new relative trace formula
Number Theory
2022-09-21 v1 Representation Theory
Abstract
We study the linear periods on twisted by a character using a new relative trace formula. We establish the relative fundamental lemma and the transfer of orbital integrals. Together with the spectral isolation technique of Beuzart-Plessis--Liu--Zhang--Zhu, we are able to compare the elliptic part of the relative trace formulae and to obtain new results generalizing Waldspurger's theorem in the case.
Keywords
Cite
@article{arxiv.2209.08366,
title = {Twisted linear periods and a new relative trace formula},
author = {Hang Xue and Wei Zhang},
journal= {arXiv preprint arXiv:2209.08366},
year = {2022}
}