Values of pairs involving one quadratic form and one linear form at S-integral points

Lazar, Youssef (2017) Values of pairs involving one quadratic form and one linear form at S-integral points. Journal of Number Theory, 181. pp. 200-217. ISSN 0022-314X

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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. This result generalises previous results of Gorodnik and Borel-Prasad. The proof uses Ratner's theorem for unipotent actions on homogeneous spaces combined with an argument of strong approximation.

Item Type: Article
Uncontrolled Keywords: quadratic forms,diophantine approximation,algebraic groups,strong approximation,ratner's orbit closure theorem
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: Pure Connector
Date Deposited: 22 Jul 2017 05:06
Last Modified: 22 Jul 2020 01:40
URI: https://ueaeprints.uea.ac.uk/id/eprint/64229
DOI: 10.1016/j.jnt.2017.06.003

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