AVERAGES OF CENTRAL L-VALUES OF HILBERT MODULAR FORMS WITH AN APPLICATION TO SUBCONVEXITY

被引：20

作者：

Feigon, Brooke ^{[1
]}

Whitehouse, David ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2EA, Canada

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2009年 / 149卷 / 02期

基金：

美国国家科学基金会;

关键词：

AUTOMORPHIC L-FUNCTIONS; SELBERG L-FUNCTIONS; EQUIDISTRIBUTION;

D O I：

10.1215/00127094-2009-041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the relative trace formula to obtain exact formulas for central values of certain twisted quadratic base change L-functions averaged over Hilbert modular-forms of a fixed weight and level. We apply these formulas to the subconvexity problem for these L-junctions. We also establish an equidistribution result for the Hecke eigenvalues weighted by these L-values.

引用

页码：347 / 410

页数：64

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