1 citations · 1 across the 5 of their papers we have counts for
5 papers
Distribution of values at tuples of integer vectors under symplectic forms
Jiyoung Han
We investigate lattice-counting problems associated with symplectic forms from the perspective of homogeneous dynamics. In the qualitative direction, we establish an analog of Marg…
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…
Distribution of Primitive Lattice Points in Large Dimensions
Jiyoung Han
We investigate the asymptotic behavior of the distribution of primitive lattice points in a symmetric Borel set as goes to infinity, under certain volum…
Weight decomposition of with respect to the adjoint representation of
Jiyoung Han
In this concise article, we compute the weight decomposition of with respect to the adjoint representation of , where and d…
Mean value theorems for the S-arithmetic primitive Siegel transforms
Samantha Fairchild, Jiyoung Han
We develop the theory and properties of primitive unimodular -arithmetic lattices in by giving integral formulas in the spirit of Siegel's primitive mean value…