Differential operators on Jacobi forms of several variables

被引：17

作者：

Choie, Y ^{[1
]}

Kim, H ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2000年 / 82卷 / 01期

关键词：

D O I：

10.1006/jnth.1999.2491

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the Rankin Cohen type bilinear differential operators, more generally, multilinear differential operators on the space of Jacobi forms on H x C-n as well as on the space of modular forms on the orthogonal group O(2, n + 2). These types of Jacobi forms have been studied by Gritsenko and Krieg. (C) 2000 Academic Press.

引用

页码：140 / 163

页数：24

共 12 条

[1] [Anonymous], 1991, J SOVIET MATH, DOI 10.1007/BF01303648
[2] Rankin-Cohen operators for Jacobi and Siegel forms
Choie, Y
Eholzer, W
[J]. JOURNAL OF NUMBER THEORY, 1998, 68 (02) : 160 - 177
[3] Multilinear operators on Siegel modular forms of genus 1 and 2
Choie, YJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 232 (01) : 34 - 44
[4] Jacobi forms and the heat operator II
Choie, YJ
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1998, 42 (02) : 179 - 186
[5] Jacobi forms and the heat operator
Choie, YJ
[J]. MATHEMATISCHE ZEITSCHRIFT, 1997, 225 (01) : 95 - 101
[6] SUMS INVOLVING VALUES AT NEGATIVE INTEGERS OF L-FUNCTIONS OF QUADRATIC CHARACTERS
COHEN, H
[J]. MATHEMATISCHE ANNALEN, 1975, 217 (03) : 271 - 285
[7] Jacobi forms of several variables and the maass space
Krieg, A
[J]. JOURNAL OF NUMBER THEORY, 1996, 56 (02) : 242 - 255
[8] Rankin R. A., 1956, J INDIAN MATH SOC, V20, P103
[9] MODULAR-FORMS AND DIFFERENTIAL-OPERATORS
ZAGIER, D
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1994, 104 (01): : 57 - 75
[10] JACOBI FORMS OF HIGHER DEGREE
ZIEGLER, C
[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1989, 59 : 191 - 224

← 1 2 →