Existence and Weyl's law for spherical cusp forms
数论
2007-05-23 v1 谱理论
摘要
Let G be a split adjoint semisimple group over Q and K a maximal compact subgroup of the real points G(R). We shall give a uniform, short and essentially elementary proof of the Weyl law for cusp forms on congruence quotients of G(R)/K. This proves a conjecture of Sarnak for Q-split groups, previously known only for the case of PGL(n). The key idea amounts to a new type of simple trace formula.
引用
@article{arxiv.math/0503724,
title = {Existence and Weyl's law for spherical cusp forms},
author = {Elon Lindenstrauss and Akshay Venkatesh},
journal= {arXiv preprint arXiv:math/0503724},
year = {2007}
}