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math.NT2021★ 1 cited
Cyclic and well-rounded lattices
Lenny Fukshansky, David Kogan
We focus on two important classes of lattices, the well-rounded and the cyclic. We show that every well-rounded lattice in the plane is similar to a cyclic lattice, and use this cy…
math.NT2021
Positive semigroups in lattices and totally real number fields
Lenny Fukshansky, Siki Wang
Let be a full-rank lattice in and write for the semigroup of all vectors with nonnegative coordinates in . We call a basis for positive if it is…