WEYL'S LAW FOR HECKE OPERATORS ON GL(n) OVER IMAGINARY QUADRATIC NUMBER FIELDS

被引：9

作者：

Matz, Jasmin ^{[1
]}

机构：

[1] Univ Leipzig, Math Inst, Postfach 100920, D-04009 Leipzig, Germany

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2017年 / 139卷 / 01期

关键词：

ARTHURS TRACE FORMULA; SEMISIMPLE LIE-GROUPS; SPECTRAL SIDE; ABSOLUTE CONVERGENCE; SPHERICAL-FUNCTIONS; REDUCTIVE GROUP; CUSP FORMS; EIGENVALUES; MANIFOLDS; EXISTENCE;

D O I：

10.1353/ajm.2017.0001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Weyl's law for Hecke operators acting on cusp forms of GL(n) over imaginary quadratic number fields together with an upper bound for the error term depending explicitly on the Hecke operator. This has applications to the theory of low-lying zeros of families of automorphic L-functions.

引用

页码：57 / 145

页数：89

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