Special values of elliptic functions at points of the divisors of Jacobi forms

被引：4

作者：

Choie, YJ ^{[1
]}

Kohnen, W

机构：

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

[2] Univ Heidelberg, Inst Math, INF 288, D-69120 Heidelberg, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 11期

关键词：

D O I：

10.1090/S0002-9939-03-06945-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main result of the paper gives an explicit formula for the sum of the values of even order derivatives with respect to z of the Weierstrass p-function p(tau, z) for the lattice Ztau + Z ( where tau is in the upper half-plane) extended over the points in the divisor of phi(tau; .) (where phi(tau, z) is a meromorphic Jacobi form) in terms of the coefficients of the Laurent expansion of phi(tau, z) around z = 0.

引用

页码：3309 / 3317

页数：9

共 10 条

[1] BERNDT R, 1981, J REINE ANGEW MATH, V326, P79
[2] AUTOMORPHIC-FORMS ON O-S+2,O-2(R) AND INFINITE PRODUCTS
BORCHERDS, RE
[J]. INVENTIONES MATHEMATICAE, 1995, 120 (01) : 161 - 213
[3] BRUINIER JH, IN PRESS COMPOS MATH
[4] Product expansions of conformal characters
Eholzer, W
Skoruppa, NP
[J]. PHYSICS LETTERS B, 1996, 388 (01) : 82 - 89
[5] Eichler M., 1985, The theory of Jacobi forms
[6] HEEGNER POINTS AND DERIVATIVES OF L-SERIES
GROSS, BH
ZAGIER, DB
[J]. INVENTIONES MATHEMATICAE, 1986, 84 (02) : 225 - 320
[7] GROSS BH, 1985, J REINE ANGEW MATH, V355, P191
[8] Katz N. M., 1973, Lecture Notes in Math., V350, P69
[9] Lang S., 1973, ELLIPTIC FUNCTIONS
[10] ZAGIER D, 2000, TRACES SINGULAR MODU

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