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A simple proof of the modular identity for theta series
Author(s):
Y.
Choie;
Y.
Taguchi
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1935-1939.
MSC (2000):
Primary 14K25;
Secondary 11F50, 11F03
Posted:
January 31, 2005
MathSciNet review:
2137858
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Abstract:
We characterize the function spanned by theta series. As an application we derive a simple proof of the modular identity of the theta series.
References:
-
- 1.
- W. Couwenberg, A simple proof of the modular identity for theta functions, Proceedings of the AMS, Vol 131, No 11, Pages 3305-3307. MR 1990617 (2004e:11040)
- 2.
- M. Eichler, D. Zagier, The theory of Jacobi forms, Progress in Math. 55, Birkhäuser, 1985. MR 0781735 (86j:11043)
- 3.
- D. Mumford, Tata Lectures on Theta I, Progress in Math. 28, Birkhäuser, 1983. MR 0688651 (85h:14026)
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Additional Information:
Y.
Choie
Affiliation:
Department of Mathematics, Pohang University of Science and Technology, Pohang, 790--784, Korea
Email:
yjc@postech.ac.kr
Y.
Taguchi
Affiliation:
Department of Mathematics, Kyushu University, Hakozaki, Fukuoka, 812--8581, Japan
Email:
taguchi@math.kyushu-u.ac.jp
DOI:
10.1090/S0002-9939-05-07723-3
PII:
S 0002-9939(05)07723-3
Received by editor(s):
January 22, 2004
Received by editor(s) in revised form:
March 18, 2004
Posted:
January 31, 2005
Additional Notes:
This work was partially supported by KOSEF R01-2003-00011596-0
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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