希尔伯特函数的限制张成的空间

Pub Date : 2022-07-22 DOI:10.4310/pamq.2023.v19.n1.a4

G. Bogo, Yingkun Li

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引用次数: 1

摘要

本文研究了完全实域$F$的某些Hilbertθ级数的对角约束，并证明了当$F$是二次或三次时，它们跨越了椭圆模形式的相应空间。此外，当$F$是四次、五次和六次时，我们给出了这种现象的证据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Span of restriction of Hilbert theta functions

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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