1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2026
Lattice point counting in Cygan--Korányi balls on Heisenberg groups
Sheng-Chen Mao, Sibei Yang
Lattice point counting in gauge balls on the Heisenberg group is a non-commutative analogue of the Euclidean multidimensional sphere problem, initiated by Garg, Nevo…
math.CA2026
Lattice point counting problems on step-two nilpotent Lie groups
Sheng-Chen Mao
We develop the theory of lattice point counting on connected and simply connected nilpotent Lie groups of step-two, endowed with the parabolic type dilation and a family of homogen…
math.AP2026★ 1 cited
On gradient estimates of the heat semigroups on step-two Carnot groups
Sheng-Chen Mao, Ye Zhang
In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-Ãmery curvature condition. As an application, we establish the gradient estimat…