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arXiv · 2405.10660

There is no 290-Theorem for higher degree forms

Vitezslav Kala·Om Prakash
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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.

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Vitezslav Kala, Om Prakash. 2024-05-17. There is no 290-Theorem for higher degree forms. https://doi.org/10.1002/mana.202400253

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