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:	http://linkinghub.elsevier.com/retrieve/...
Depositing User:	Pure Connector
Date Deposited:	22 Jul 2017 05:06
Last Modified:	22 Oct 2022 02:55
URI:	https://ueaeprints.uea.ac.uk/id/eprint/64229
DOI:	10.1016/j.jnt.2017.06.003

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