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arXiv · 1706.07770

The Bruinier--Funke pairing and the orthogonal complement of unary theta functions

Ben Kane·Siu Hang Man
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Abstract

We describe an algorithm for computing the inner product between a holomorphic modular form and a unary theta function, in order to determine whether the form is orthogonal to unary theta functions without needing a basis of the entire space of modular forms and without needing to use linear algebra to decompose this space completely.

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Ben Kane, Siu Hang Man. 2017-06-23. The Bruinier--Funke pairing and the orthogonal complement of unary theta functions. https://arxiv.org/abs/1706.07770

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