A simple proof of the modular identity for theta series

DOI10.1090/S0002-9939-05-07723-3zbMath1063.11010MaRDI QIDQ4663444

Yuichiro Taguchi, Young Ju Choie

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

theta seriesmodular identity

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27)

Related Items (2)

Summation of Gaussian shifts as Jacobi's third theta function ⋮ Classification of the space spanned by theta series and applications

Cites Work

• The theory of Jacobi forms
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• A simple proof of the modular identity for theta functions

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