Abstract
We establish the existence of smooth transfer for Guo–Jacquet relative trace formulae in the $p$-adic case. This kind of smooth transfer is a key step towards a generalization of Waldspurger’s result on central values of L-functions of $\text{GL}_{2}$.
Subject
Algebra and Number Theory
Reference24 articles.
1. Automorphic period and the central value of Rankin-Selberg L-function
2. Fourier transform and the global Gan--Gross--Prasad conjecture for unitary groups
3. Une formule des traces locale pour les algèbres de Lie p-adiques;Waldspurger;J. Reine Angew. Math.,1995
4. Uniqueness of linear periods;Jacquet;Compositio Math.,1996
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献