Span of Restriction of Hilbert Theta Functions
Number Theory
2022-07-25 v1
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.
Keywords
Cite
@article{arxiv.2207.10922,
title = {Span of Restriction of Hilbert Theta Functions},
author = {Gabriele Bogo and Yingkun Li},
journal= {arXiv preprint arXiv:2207.10922},
year = {2022}
}
Comments
19 pages. To appear in PAMQ