The Ramanujan Journal

, Volume 21, Issue 1, pp 27–39 | Cite as

Construction of Jacobi forms associated to indefinite quadratic forms



Vignéras constructs non-holomorphic theta functions according to indefinite quadratic forms with arbitrary signature. We use Vignéras’ theta functions to create examples of non-holomorphic Jacobi forms associated to indefinite theta series by two different methods.


Jacobi form Non-holomorphic theta function Indefinite form Siegel theta series Schrödinger-Weil representation 

Mathematics Subject Classification (2000)



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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Mathematics and PMIPohang University of Science and TechnologyPohangKorea

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