Description
Quantitative Khintchine--Groshev theorem on S-arithmetic numbers
In this talk, I would like to introduce two analogs of S-arithmetic generalization of Diophantine approximation problems. One way to obtain quantitative results for Diophantine approximation over the real field is by utilizing Schmidt's counting theorem on the family of expanding Borel sets. We will explore how this approach can be extended to S-arithmetic Diophantine approximation, taking into consideration certain limitations.