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Showing 2012 · math.NTShow all
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math.NT2012★ 6 cited
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…
math.NT2012
Well-rounded zeta-function of planar arithmetic lattices
Lenny Fukshansky
We investigate the properties of the zeta-function of well-rounded sublattices of a fixed arithmetic lattice in the plane. In particular, we show that this function has abscissa of…