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Construction of Jacobi forms associated to indefinite quadratic forms

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and PMI, Pohang University of Science and Technology, Pohang, 790-784, Korea

    YoungJu Choie & Subong Lim

Authors
  1. YoungJu Choie
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  2. Subong Lim
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Correspondence to YoungJu Choie.

Additional information

This work was partially supported by KRF2007-412-J02301 and KOSEF2008-000-20446-0.

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Choie, Y., Lim, S. Construction of Jacobi forms associated to indefinite quadratic forms. Ramanujan J 21, 27–39 (2010). https://doi.org/10.1007/s11139-008-9153-x

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  • DOI: https://doi.org/10.1007/s11139-008-9153-x

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