Distribution of Primitve Lattice Points in Large Dimensions
Distribution of Primitve Lattice Points in Large Dimensions
We investigate the asymptotic behavior of the distribution of primitive lattice points in a symmetric Borel set $S_d\subset\mathbb R^d$ as $d$ goes to infinity, under certain volume conditions on $S_d$. Our main technique involves exploring higher moment formulas for the primitive Siegel transform. We first demonstrate that if the volume …