@article{Lazar_2023, title={On the density of S-adic integers near some projective G-varieties}, volume={48}, url={https://afm.journal.fi/article/view/127001}, DOI={10.54330/afm.127001}, abstractNote={<pre>We provide some general conditions which ensure that a system of inequalities involving homogeneous polynomials with coefficients in a \(S\)-adic field has nontrivial \(S\)-integral solutions. The proofs are based on the strong approximation property for Zariski-dense subgroups and adelic geometry of numbers. We give some examples of applications for systems involving quadratic and linear forms.</pre> <p>&nbsp;</p>}, number={1}, journal={Annales Fennici Mathematici}, author={Lazar, Youssef}, year={2023}, month={Feb.}, pages={187–204} }