Values of pairs involving one quadratic and one linear form at S-integral points
Number Theory
2016-03-18 v4 Dynamical Systems
Abstract
We prove the existence of S-integral solutions of simultaneous diophantine inequalities for pairs (Q,L) involving one quadratic form and one linear form satisfying some arithmetico-geometric conditions. The proof uses strong approximation in algebraic groups and Ratner's topological rigidity of unipotent actions on homogeneous spaces.
Keywords
Cite
@article{arxiv.1307.3761,
title = {Values of pairs involving one quadratic and one linear form at S-integral points},
author = {Youssef Lazar},
journal= {arXiv preprint arXiv:1307.3761},
year = {2016}
}