AbstractIt is a well known fact that most of the Diophantine properties of a real number $\alpha$ are determined by its regular continued fraction expansion.In particular, from continued fraction we obtain all the best approximations to $\alpha$.In my talk, I will discuss the behaviour of best approximations in higher dimensional problems related to approximation of irrational linear subspaces ...
Abstract: Nevanlinna Theory is a theory about meromorphic functions, and it has a good analogy with Diophantine Approximation. This analogy is the source of the idea that we hope to establish Nevanlinna theory on many other mathematical objects