6 citations · 8 across the 4 of their papers we have counts for
4 papers
Totally isotropic subspaces of small height in quadratic spaces
Wai Kiu Chan, Lenny Fukshansky, Glenn R. Henshaw
Let be a global field or , a nonzero quadratic form on , , and a subspace of . We prove the existence of an infinite collectio…
Lattice point counting and height bounds over number fields and quaternion algebras
Lenny Fukshansky, Glenn Henshaw
An important problem in analytic and geometric combinatorics is estimating the number of lattice points in a compact convex set in a Euclidean space. Such estimates have numerous a…
On well-rounded ideal lattices - II
Lenny Fukshansky, Glenn Henshaw, Philip Liao +3
We study well-rounded lattices which come from ideals in quadratic number fields, generalizing some recent results of the first author with K. Petersen. In particular, we give a ch…
On integral well-rounded lattices in the plane
Lenny Fukshansky, Glenn Henshaw, Philip Liao +3
We investigate distribution of integral well-rounded lattices in the plane, parameterizing the set of their similarity classes by solutions of the family of Pell-type Diophantine e…