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 [J].

BORCHERDS, RE .

INVENTIONES MATHEMATICAE, 1995, 120 (01) :161-213

[3]

BRUINIER JH, IN PRESS COMPOS MATH

[4] Product expansions of conformal characters [J].

Eholzer, W ;

Skoruppa, NP .

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 [J].

GROSS, BH ;

ZAGIER, DB .

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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