LIFTING FROM TWO ELLIPTIC MODULAR FORMS TO SIEGEL MODULAR FORMS OF HALF-INTEGRAL WEIGHT OF EVEN DEGREE

被引：0

作者：

Hayashida, Shuichi ^{[1
]}

机构：

[1] Joetsu Univ Educ, Dept Math, 1 Yamayashikimachi, Niigata 9438512, Japan

来源：

DOCUMENTA MATHEMATICA | 2016年 / 21卷

关键词：

Siegel modular forms; Jacobi forms; Maass relation; CUSP FORMS; CONJECTURE; SERIES; GENUS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to construct lifts from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree under the assumption that the constructed Siegel modular form is not identically zero. The key ingredient of the proof is a new Maass relation for Siegel modular forms of half-integral weight and any degree.

引用

页码：125 / 196

页数：72

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