Rankin-Cohen brackets and Serre derivatives as Poincare series

被引：3
|
作者：
Williams, Brandon [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
RESEARCH IN NUMBER THEORY | 2018年 / 4卷
关键词：
D O I：
10.1007/s40993-018-0130-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give expressions for the Serre derivatives of Eisenstein and Poincare series as well as their Rankin-Cohen brackets with arbitrary modular forms in terms of the Poincare averaging construction, and derive several identities for the Ramanujan tau function as applications.
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页数：13
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