On mod p properties of Siegel modular forms

被引：37

作者：

Boecherer, Siegfried ^{[1
]}

Nagaoka, Shoyu ^{[1
]}

机构：

[1] Kinki Univ, Dept Math, Osaka 5778502, Japan

来源：

MATHEMATISCHE ANNALEN | 2007年 / 338卷 / 02期

关键词：

D O I：

10.1007/s00208-007-0081-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two results on mod p properties of Siegel modular forms. First, we use theta series in order to construct of a Siegel modular form of weight p-1 which is congruent to 1 mod p. Second, we define a theta operator Theta on q-expansions and show that the algebra of Siegel modular forms mod p is stable under Theta and generalized Rankin-Cohen brackets.

引用

页码：421 / 433

页数：13

共 20 条

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Bayer-Fluckiger E, 1989, SEM THEORIE NOMBRES, V1, P189

[2] DEFINITE UNIMODULAR LATTICES HAVING AN AUTOMORPHISM OF GIVEN CHARACTERISTIC POLYNOMIAL [J].