Span of Restriction of Hilbert Theta Functions
arXiv:2207.10922
Abstract
In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real field , and prove that they span the corresponding space of elliptic modular forms when the is quadratic or cubic. Furthermore, we give evidence of this phenomenon when is quartic, quintic and sextic.
19 pages. To appear in PAMQ