2 papers
math.NT2025
Uniform Diophantine approximation on the Hecke group
Ayreena Bakhtawar, Dong Han Kim, Seul Bee Lee
Dirichlet's uniform approximation theorem is a fundamental result in Diophantine approximation that gives an optimal rate of approximation with a given bound. We study uniform Diop…
math.NT2024
Diophantine approximation by rational numbers of certain parity types
Dong Han Kim, Seul Bee Lee, Lingmin Liao
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the pa…