3 papers
math.NT2025
Moment formulas of Siegel transforms with congruence conditions in dimension 2
Jiyoung Han, Seul Bee Lee
We compute the first and second moment formulas for Siegel transforms related to problems counting primitive lattice points in the real plane with congruence conditions. As applica…
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.DS2024
Regularity properties of the -Wilton functions
Ayreena Bakhtawar, Carlo Carminati, Seul Bee Lee
The aim of this article is to study the regularity properties of the Wilton functions associated with -continued fractions. We prove that the Wilton function is BMO for…