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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
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Abstract | References | Similar articles | Additional information

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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