Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772655 | Journal of Number Theory | 2017 | 17 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Youssef Lazar,