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
收藏
页码：125 / 196
页数：72
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