A simple proof of the modular identity for theta series

A simple proof of the modular identity for theta series
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by Y. Choie and Y. Taguchi PDF

Proc. Amer. Math. Soc. 133 (2005), 1935-1939 Request permission

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

Wim Couwenberg, A simple proof of the modular identity for theta functions, Proc. Amer. Math. Soc. 131 (2003), no. 11, 3305–3307. MR 1990617, DOI 10.1090/S0002-9939-03-06902-8
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David Mumford, Tata lectures on theta. I, Progress in Mathematics, vol. 28, Birkhäuser Boston, Inc., Boston, MA, 1983. With the assistance of C. Musili, M. Nori, E. Previato and M. Stillman. MR 688651, DOI 10.1007/978-1-4899-2843-6

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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
Received by editor(s): January 22, 2004
Received by editor(s) in revised form: March 18, 2004
Published electronically: January 31, 2005
Additional Notes: This work was partially supported by KOSEF R01-2003-00011596-0
Communicated by: Juha M. Heinonen
Journal: Proc. Amer. Math. Soc. 133 (2005), 1935-1939
MSC (2000): Primary 14K25; Secondary 11F50, 11F03
DOI: https://doi.org/10.1090/S0002-9939-05-07723-3
MathSciNet review: 2137858