Modular forms via invariant theory

被引：1
|
作者：
Clery, Fabien [1 ]
van der Geer, Gerard [2 ]
机构：
[1] Inst Computat & Expt Res Math, 121 South Main St, Providence, RI 02903 USA
[2] Univ Amsterdam, Korteweg de Vries Inst, Postbus 9424, NL-1090 Amsterdam, Netherlands
来源：
RESEARCH IN NUMBER THEORY | 2023年 / 9卷 / 02期
关键词：
D O I：
10.1007/s40993-023-00442-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms and their derivatives, and generalizes the Rankin-Cohen bracket, while the second one deals with vector-valued modular forms of genus greater than 1.
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页数：10
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