Characterization of norm forms via their values at integer points
Number Theory
2024-11-27 v8 Group Theory
Abstract
Using homogeneous dynamical approach, we obtain a complete description of the forms with discrete set of values at the integer points and not representing zero non-trivially over the rational numbers. As a consequence, we obtain a general class of non-purely real forms for which the natural generalization of Cassels and Swinnerton-Dyer conjecture fails.
Cite
@article{arxiv.2212.09734,
title = {Characterization of norm forms via their values at integer points},
author = {George Tomanov},
journal= {arXiv preprint arXiv:2212.09734},
year = {2024}
}