2 citations · 3 across the 5 of their papers we have counts for
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Lattice point counting statistics for 3-dimensional shrinking Cygan-Korányi spherical shells
Yoav A. Gath
Let be the error term for the number of integer lattice points lying inside a -dimensional Cygan-Korányi spherical shell of inner radius and gap width . Ass…
Distribution and Moments of the Error Term in the Lattice Point Counting Problem for 3-Dimensional Cygan-Korányi Balls
Yoav A. Gath
We study fluctuations of the error term for the number of integer lattice points lying inside a 3-dimensional Cygan-Korányi ball of large radius. We prove that the error term, suit…
On the Distribution of the Number of Lattice Points in Norm Balls on the Heisenberg Groups
Yoav A. Gath
We investigate the fluctuations in the number of integral lattice points on the Heisenberg groups which lie inside a Cygan-Kor{á}nyi norm ball of large radius. Let $\mathcal{E}_{q}…
On an Analogue Of the Gauss Circle Problem For the Heisenberg Groups
Yoav A. Gath
We consider the problem of estimating the error term which occurs in…
On the best possible exponent for the error term in the lattice point counting problem on the first Heisenberg group
Yoav A. Gath
We use classical methods from analytic number theory to resolve the lattice point counting problem on the first Heisenberg group, in the case where the gauge function is taken to b…