HEAT OPERATORS AND QUASIMODULAR FORMS

被引：2
|
作者：
Lee, Min Ho [1 ]
机构：
[1] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 81卷 / 03期
关键词：
quasimodular forms; modular forms; heat operators; Jacobi-like forms;
D O I：
10.1017/S0004972709001117
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a differential operator on quasimodular polynomials that corresponds to the derivative operator on quasimodular forms. We then prove that such a differential operator is compatible with a heat operator on Jacobi-like forms in certain cases. These results show in those cases that the derivative operator on quasimodular forms corresponds to a heat operator on Jacobi-like forms.
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页码：514 / 522
页数：9
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