Multilinear differential operators on modular forms

被引：2

作者：

Lee, MH ^{[1
]}

机构：

[1] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-03-07324-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct multilinear differential operators on modular forms and prove that they are essentially unique. We also discuss certain homogeneous polynomials associated to such differential operators as well as some related multilinear differential operators that do not produce modular forms.

引用

页码：1267 / 1277

页数：11

共 50 条

[41] Maass wave forms, quantum modular forms and Hecke operators
Lee, Seewoo
[J]. RESEARCH IN THE MATHEMATICAL SCIENCES, 2019, 6 (01)
[42] Codes, vertex operators and topological modular forms
Ganter, Nora
Laures, Gerd
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 54 (04) : 1167 - 1196
[43] Coefficients of Drinfeld modular forms and Hecke operators
Armana, Cecile
[J]. JOURNAL OF NUMBER THEORY, 2011, 131 (08) : 1435 - 1460
[44] On the action of Hecke operators on Drinfeld modular forms
Joshi, Kirti
Petrov, Aleksandar
[J]. JOURNAL OF NUMBER THEORY, 2014, 137 : 186 - 200
[45] GENERALIZED SYMPLECTIC DIFFERENTIAL FORMS AND DIFFERENTIAL OPERATORS
GUNNING, RC
[J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1962, 11 (05): : 703 - 723
[46] THEORY OF GRADUATED DIFFERENTIAL OPERATORS ON DIFFERENTIAL FORMS
BUTTIN, C
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1974, 102 (01): : 49 - 73
[47] FACTORIZATION OF MULTILINEAR DIFFERENTIAL-OPERATORS WITH CONSTANT-COEFFICIENTS
TASKINEN, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) : 506 - 525
[48] Defining differential equations for modular forms and Jacobi forms
Department of Mathematical Sciences Loughborough University, Loughborough, Leicestershire
LE11 3TU, United Kingdom
不详
450008, Russia
[J]. arXiv,
[49] A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS
Wen, Yongming
Wu, Huoxiong
Xue, Qingying
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (04) : 851 - 864
[50] Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces
Molahajloo, Shahla
Okoudjou, Kasso A.
Pfander, Goetz E.
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2016, 22 (06) : 1381 - 1415

← 1 2 3 4 5 →