Weyl group multiple Dirichlet series constructed from quadratic characters

被引：20
|
作者：
Chinta, Gautam [1 ]
Gunnells, Paul E.
机构：
[1] CUNY City Coll, Dept Math, New York, NY 10031 USA
[2] Univ Gottingen, Inst Math, D-37073 Gottingen, Germany
[3] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
来源：
INVENTIONES MATHEMATICAE | 2007年 / 167卷 / 02期
关键词：
D O I：
10.1007/s00222-006-0014-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct multiple Dirichlet series in several complex variables whose coefficients involve quadratic residue symbols. The series are shown to have an analytic continuation and satisfy a certain group of functional equations. These are the first examples of an infinite collection of unstable Weyl group multiple Dirichlet series in greater than two variables having the properties predicted in [2].
引用
收藏
页码：327 / 353
页数：27
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