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arXiv · 0810.1010

On theta functions of order four

Yaacov Kopeliovich·Christian Pauly·Olivier Serman
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Abstract

We prove that the fourth powers of theta functions with even characteristics form a basis of the space of even theta functions of order four on a principally polarized Abelian variety without vanishing theta-null.

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Yaacov Kopeliovich, Christian Pauly, Olivier Serman. 2009-01-16. On theta functions of order four. https://doi.org/10.1112/blms%2Fbdp012

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