Classification of the space spanned by theta series and applications

DOI10.1090/S0002-9939-07-08706-0zbMath1165.11044OpenAlexW2074030735MaRDI QIDQ3438095

Olav K. Richter, Young Ju Choie

Publication date: 15 May 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08706-0

zbMATH Keywords

heat kernelTheta series

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50)

Cites Work

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• The theory of Jacobi forms
• Jacobi forms of higher degree
• On theta functions associated to indefinite quadratic forms
• The behaviour of theta series of genus n for indefinite quadratic forms by modular substitutions
• Skew-holomorphic Jacobi forms of index 1 and Siegel modular forms of half-integral weight
• On transformation laws for theta functions
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS
• SIEGEL'S FORMULA FOR JACOBI FORMS
• A simple proof of the modular identity for theta functions
• A simple proof of the modular identity for theta series
• The Reciprocity Formula for Multidimensional Theta Functions

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