论文标题
水平晶格家族的密度假设
The density hypothesis for horizontal families of lattices
论文作者
论文摘要
我们证明了由所有界限的所有分裂元素代数产生的算术轨道量的广泛算法的密度假设。我们对非脾气表示的多样性的节能界限在体积和光谱方面都是统一的。
We prove the density hypothesis for wide families of arithmetic orbifolds arising from all division quaternion algebras over all number fields of bounded degree. Our power-saving bounds on the multiplicities of non-tempered representations are uniform in the volume and spectral aspects.
