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.

引用

页码：514 / 522

页数：9

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