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Special values of elliptic functions at points of the divisors of Jacobi forms
Author(s):
YoungJu
Choie;
Winfried
Kohnen
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3309-3317.
MSC (2000):
Primary 11F03, 11G05
Posted:
February 14, 2003
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Abstract:
The main result of the paper gives an explicit formula for the sum of the values of even order derivatives with respect to of the Weierstrass -function for the lattice (where is in the upper half-plane) extended over the points in the divisor of (where is a meromorphic Jacobi form) in terms of the coefficients of the Laurent expansion of around .
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and infinite products, Invent. Math. 120 (1995), 161-213 MR 96j:11067 - 3.
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Additional Information:
YoungJu
Choie
Affiliation:
Department of Mathematics, Pohang Institute of Science and Technology, Pohang 790-784, Korea
Email:
yjc@postech.ac.kr
Winfried
Kohnen
Affiliation:
Mathematisches Institut, Universität Heidelberg, INF 288, D-69120 Heidelberg, Germany
Email:
winfried@mathi.uni-heidelberg.de
DOI:
10.1090/S0002-9939-03-06945-4
PII:
S 0002-9939(03)06945-4
Received by editor(s):
May 24, 2002
Posted:
February 14, 2003
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2003,
American Mathematical Society
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