Compact unitary periods

被引：21

作者：

Lapid, Erez ^{[1
]}

Offen, Omer

机构：

[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

来源：

COMPOSITIO MATHEMATICA | 2007年 / 143卷 / 02期

关键词：

L-functions; periods; unitary groups; relative trace formula;

D O I：

10.1112/S0010437X06002612

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a CM-field and pi a cuspidal representation of GL(n)(A(E)) which admits a spherical vector (at all places) phi(0). We evaluate the period of phi(0) with respect to any compact unitary group. The result is consistent with a conjecture of Sarnak.

引用

页码：323 / 338

页数：16

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