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arXiv · 2207.10922

Span of Restriction of Hilbert Theta Functions

Gabriele Bogo·Yingkun Li
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Abstract

In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real field $F$, and prove that they span the corresponding space of elliptic modular forms when the $F$ is quadratic or cubic. Furthermore, we give evidence of this phenomenon when $F$ is quartic, quintic and sextic.

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Gabriele Bogo, Yingkun Li. 2022-07-22. Span of Restriction of Hilbert Theta Functions. https://arxiv.org/abs/2207.10922

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