A generic effective Oppenheim theorem for systems of forms
Number Theory
2020-07-22 v2 Dynamical Systems
Abstract
We prove a uniform effective density theorem as well as an effective counting result for a generic system comprising a polynomial with a mild homogeneous condition and several linear forms using Roger's second moment formula for the Siegel transform on the space of unimodular lattices.
Cite
@article{arxiv.2003.06114,
title = {A generic effective Oppenheim theorem for systems of forms},
author = {Prasuna Bandi and Anish Ghosh and Jiyoung Han},
journal= {arXiv preprint arXiv:2003.06114},
year = {2020}
}
Comments
18 pages