Classification of the space spanned by theta series and applications

Choie, YoungJu; Richter, Olav

doi:10.1090/S0002-9939-07-08706-0

Classification of the space spanned by theta series and applications
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by YoungJu Choie and Olav K. Richter PDF

Proc. Amer. Math. Soc. 135 (2007), 2309-2315 Request permission

Abstract:

We determine a class of functions spanned by theta series of higher degree. We give two applications: A simple proof of the inversion formula of such theta series and a classification of skew-holomorphic Jacobi forms.

References

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