There is no 290-Theorem for higher degree forms
arXiv:2405.10660 · doi:10.1002/mana.202400253
Abstract
We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290-Theorem of Bhargava-Hanke.
12 pages, to appear in Math. Nachr