The Bergman kernel and mass equidistribution on the Siegel modular variety Sp2n(Z)/Hn

被引：8

作者：

Cogdell, James W. ^{[1
]}

Luo, Wenzhi ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

FORUM MATHEMATICUM | 2011年 / 23卷 / 01期

基金：

美国国家科学基金会;

关键词：

Bergman kernel; equidistribution; Siegel modular variety; HECKE EIGENFORMS; ERGODICITY; THEOREM;

D O I：

10.1515/FORM.2011.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the mass equidistribution of holomorphic cuspidal Hecke eigenforms on the Siegel modular varieties, and show that equidistribution holds on average, by means of the Bergman kernel.

引用

页码：141 / 159

页数：19

共 3 条

[1] On the cuspidality of pullbacks of Siegel Eisenstein series to Sp2m x Sp2n
Brown, Jim L.
JOURNAL OF NUMBER THEORY, 2011, 131 (01) : 106 - 119
[2] Stability of the centers of the symplectic group rings Z[Sp2n(q)]
Ozden, Safak
JOURNAL OF ALGEBRA, 2021, 572 : 263 - 296
[3] MULTIPLICATIVE PROPERTIES OF THE FOURIER COEFFICIENTS OF SIEGEL MODULAR-FORMS FOR PRINCIPAL CONGRUENCE SUBGROUPS OF THE GROUP SP(N,Z)
NENASHEV, AY
MATHEMATICS OF THE USSR-SBORNIK, 1987, 132 (1-2): : 237 - 254

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