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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…